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<a href="../../de/d72/geometric__dist_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="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;cmath&gt;</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &lt;cstdint&gt;</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &lt;ctime&gt;</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;limits&gt;</span> </div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;random&gt;</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a> {</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="../../dd/d8a/namespacegeometric__dist.html">geometric_dist</a> {</div>
<div class="foldopen" id="foldopen00048" data-start="{" data-end="}">
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="../../de/d72/geometric__dist_8cpp.html#a82964ca6180507deb5fafc71050012ba"> 48</a></span><span class="keywordtype">float</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a82964ca6180507deb5fafc71050012ba">generate_uniform</a>() {</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(rand()) / <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(RAND_MAX);</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>}</div>
</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span></div>
<div class="foldopen" id="foldopen00055" data-start="{" data-end="};">
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html"> 55</a></span><span class="keyword">class </span><a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aa12088ba133dd0910103db0eb0ef2797">geometric_distribution</a> {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3"> 57</a></span> <span class="keywordtype">float</span> <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>; </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aa12088ba133dd0910103db0eb0ef2797"> 64</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aa12088ba133dd0910103db0eb0ef2797">geometric_distribution</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>&amp; <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>) : <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>(<a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>) {}</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413"> 71</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 1.0f / <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>; }</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960"> 77</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (1.0f - <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>) / (<a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a> * <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>); }</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2"> 84</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2">standard_deviation</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>()); }</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span></div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1"> 93</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1">probability_density</a>(<span class="keyword">const</span> uint32_t&amp; k)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> std::pow((1.0f - <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(k - 1)) * <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</div>
</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span></div>
<div class="foldopen" id="foldopen00104" data-start="{" data-end="}">
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a"> 104</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(<span class="keyword">const</span> uint32_t&amp; k)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">return</span> 1.0f - std::pow((1.0f - <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>), <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(k));</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span></div>
<div class="foldopen" id="foldopen00116" data-start="{" data-end="}">
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf"> 116</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">inverse_cumulative_distribution</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>&amp; cdf)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> std::log(1.0f - cdf) / std::log(1.0f - <a class="code hl_variable" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">p</a>);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span></div>
<div class="foldopen" id="foldopen00125" data-start="{" data-end="}">
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a8aae1cebcf42ed2332f1c7217c401aa3"> 125</a></span> uint32_t <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a8aae1cebcf42ed2332f1c7217c401aa3">draw_sample</a>()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordtype">float</span> uniform_sample = <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a82964ca6180507deb5fafc71050012ba">generate_uniform</a>();</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span>uint32_t<span class="keyword">&gt;</span>(</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">inverse_cumulative_distribution</a>(uniform_sample)) +</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> 1;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span></div>
<div class="foldopen" id="foldopen00145" data-start="{" data-end="}">
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"><a class="line" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69"> 145</a></span> <span class="keywordtype">float</span> <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(<span class="keyword">const</span> uint32_t&amp; min_tries = 1,</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keyword">const</span> uint32_t&amp; max_tries =</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> std::numeric_limits&lt;uint32_t&gt;::max())<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> <span class="keywordtype">float</span> cdf_lower = <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(min_tries - 1);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordtype">float</span> cdf_upper = max_tries == std::numeric_limits&lt;uint32_t&gt;::max()</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> ? 1.0f</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> : <a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(max_tries);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">return</span> cdf_upper - cdf_lower;</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>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span>} <span class="comment">// namespace geometric_dist</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span>} <span class="comment">// namespace probability</span></div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span></div>
<div class="foldopen" id="foldopen00165" data-start="{" data-end="}">
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"><a class="line" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6"> 165</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keyword">const</span> <a class="code hl_class" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a>&amp; dist) {</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> uint32_t n_tries = 1000000;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> std::vector&lt;float&gt; tries;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> tries.resize(n_tries);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keywordtype">float</span> mean = 0.0f;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordflow">for</span> (uint32_t i = 0; i &lt; n_tries; ++i) {</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> tries[i] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a8aae1cebcf42ed2332f1c7217c401aa3">draw_sample</a>());</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> mean += tries[i];</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> }</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> </div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> mean /= <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(n_tries);</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordtype">float</span> var = 0.0f;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">for</span> (uint32_t i = 0; i &lt; n_tries; ++i) {</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> var += (tries[i] - mean) * (tries[i] - mean);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> }</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="comment">// Unbiased estimate of variance</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> var /= <span class="keyword">static_cast&lt;</span><span class="keywordtype">float</span><span class="keyword">&gt;</span>(n_tries - 1);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> std::cout &lt;&lt; <span class="stringliteral">&quot;This value should be near &quot;</span> &lt;&lt; dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>() &lt;&lt; <span class="stringliteral">&quot;: &quot;</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> &lt;&lt; mean &lt;&lt; std::endl;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> std::cout &lt;&lt; <span class="stringliteral">&quot;This value should be near &quot;</span> &lt;&lt; dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>() &lt;&lt; <span class="stringliteral">&quot;: &quot;</span> &lt;&lt; var</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span>}</div>
</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span></div>
<div class="foldopen" id="foldopen00197" data-start="{" data-end="}">
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="../../de/d72/geometric__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 197</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <a class="code hl_class" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a> dist(0.3);</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">const</span> <span class="keywordtype">float</span> threshold = 1e-3f;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Starting tests for p = 0.3...&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>() - 3.33333333f) &lt; threshold);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>() - 7.77777777f) &lt; threshold);</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2">standard_deviation</a>() - 2.788866755) &lt; threshold);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1">probability_density</a>(5) - 0.07203) &lt; threshold);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(6) - 0.882351) &lt; threshold);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">inverse_cumulative_distribution</a>(</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(8)) -</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> 8) &lt; threshold);</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>() - 1.0f) &lt; threshold);</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(3) - 0.49f) &lt; threshold);</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(5, 11) - 0.2203267f) &lt; threshold);</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> dist = <a class="code hl_class" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a>(0.5f);</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Starting tests for p = 0.5...&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>() - 2.0f) &lt; threshold);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>() - 2.0f) &lt; threshold);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2">standard_deviation</a>() - 1.4142135f) &lt; threshold);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1">probability_density</a>(5) - 0.03125) &lt; threshold);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(6) - 0.984375) &lt; threshold);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">inverse_cumulative_distribution</a>(</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(8)) -</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> 8) &lt; threshold);</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>() - 1.0f) &lt; threshold);</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(3) - 0.25f) &lt; threshold);</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(5, 11) - 0.062011f) &lt; threshold);</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests passed&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> dist = <a class="code hl_class" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a>(0.8f);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Starting tests for p = 0.8...&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>() - 1.25f) &lt; threshold);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>() - 0.3125f) &lt; threshold);</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2">standard_deviation</a>() - 0.559016f) &lt; threshold);</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1">probability_density</a>(5) - 0.00128) &lt; threshold);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(6) - 0.999936) &lt; threshold);</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">inverse_cumulative_distribution</a>(</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">cumulative_distribution</a>(8)) -</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> 8) &lt; threshold);</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>() - 1.0f) &lt; threshold);</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(3) - 0.04f) &lt; threshold);</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> assert(std::abs(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">range_tries</a>(5, 11) - 0.00159997f) &lt; threshold);</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All tests have successfully passed!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span>}</div>
</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span></div>
<div class="foldopen" id="foldopen00256" data-start="{" data-end="}">
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"><a class="line" href="../../de/d72/geometric__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 256</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> srand(time(<span class="keyword">nullptr</span>));</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>}</div>
</div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a></div><div class="ttdoc">A class to model the geometric distribution.</div><div class="ttdef"><b>Definition</b> <a href="#l00055">geometric_dist.cpp:55</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_a08328dc7d62188427111f176b56a105a"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a08328dc7d62188427111f176b56a105a">probability::geometric_dist::geometric_distribution::cumulative_distribution</a></div><div class="ttdeci">float cumulative_distribution(const uint32_t &amp;k) const</div><div class="ttdoc">The cumulative distribution function.</div><div class="ttdef"><b>Definition</b> <a href="#l00104">geometric_dist.cpp:104</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_a0a10c512e13dd3a052e1c6d7f4d6f0f2"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a0a10c512e13dd3a052e1c6d7f4d6f0f2">probability::geometric_dist::geometric_distribution::standard_deviation</a></div><div class="ttdeci">float standard_deviation() const</div><div class="ttdoc">The standard deviation of a geometrically distributed random variable X.</div><div class="ttdef"><b>Definition</b> <a href="#l00084">geometric_dist.cpp:84</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_a41051365f8ac7700f2ed5880a6760413"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">probability::geometric_dist::geometric_distribution::expected_value</a></div><div class="ttdeci">float expected_value() const</div><div class="ttdoc">The expected value of a geometrically distributed random variable X.</div><div class="ttdef"><b>Definition</b> <a href="#l00071">geometric_dist.cpp:71</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_a4620163a196709484225774d87de6d69"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a4620163a196709484225774d87de6d69">probability::geometric_dist::geometric_distribution::range_tries</a></div><div class="ttdeci">float range_tries(const uint32_t &amp;min_tries=1, const uint32_t &amp;max_tries=std::numeric_limits&lt; uint32_t &gt;::max()) const</div><div class="ttdoc">This function computes the probability to have success in a given range of tries.</div><div class="ttdef"><b>Definition</b> <a href="#l00145">geometric_dist.cpp:145</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_a8aae1cebcf42ed2332f1c7217c401aa3"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a8aae1cebcf42ed2332f1c7217c401aa3">probability::geometric_dist::geometric_distribution::draw_sample</a></div><div class="ttdeci">uint32_t draw_sample() const</div><div class="ttdoc">Generates a (discrete) sample according to the geometrical distribution.</div><div class="ttdef"><b>Definition</b> <a href="#l00125">geometric_dist.cpp:125</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_aa12088ba133dd0910103db0eb0ef2797"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aa12088ba133dd0910103db0eb0ef2797">probability::geometric_dist::geometric_distribution::geometric_distribution</a></div><div class="ttdeci">geometric_distribution(const float &amp;p)</div><div class="ttdoc">Constructor for the geometric distribution.</div><div class="ttdef"><b>Definition</b> <a href="#l00064">geometric_dist.cpp:64</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_aaf762e88c66918d7afda4234f28a7ddf"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aaf762e88c66918d7afda4234f28a7ddf">probability::geometric_dist::geometric_distribution::inverse_cumulative_distribution</a></div><div class="ttdeci">float inverse_cumulative_distribution(const float &amp;cdf) const</div><div class="ttdoc">The inverse cumulative distribution function.</div><div class="ttdef"><b>Definition</b> <a href="#l00116">geometric_dist.cpp:116</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_ad5ed23a251dbe55ad1ed06bf1a465ad3"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#ad5ed23a251dbe55ad1ed06bf1a465ad3">probability::geometric_dist::geometric_distribution::p</a></div><div class="ttdeci">float p</div><div class="ttdoc">The succes probability p.</div><div class="ttdef"><b>Definition</b> <a href="#l00057">geometric_dist.cpp:57</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_aea8b0d649f0dc9a6f8baf3341a0b4960"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">probability::geometric_dist::geometric_distribution::variance</a></div><div class="ttdeci">float variance() const</div><div class="ttdoc">The variance of a geometrically distributed random variable X.</div><div class="ttdef"><b>Definition</b> <a href="#l00077">geometric_dist.cpp:77</a></div></div>
<div class="ttc" id="aclassprobability_1_1geometric__dist_1_1geometric__distribution_html_aee973db9f0435e0cb4cc70f8eb3447a1"><div class="ttname"><a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1">probability::geometric_dist::geometric_distribution::probability_density</a></div><div class="ttdeci">float probability_density(const uint32_t &amp;k) const</div><div class="ttdoc">The probability density function.</div><div class="ttdef"><b>Definition</b> <a href="#l00093">geometric_dist.cpp:93</a></div></div>
<div class="ttc" id="ageometric__dist_8cpp_html_a70fd1cc5c3a2813f28683dc75dcd65b6"><div class="ttname"><a href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a></div><div class="ttdeci">void sample_test(const probability::geometric_dist::geometric_distribution &amp;dist)</div><div class="ttdoc">Tests the sampling method of the geometric distribution.</div><div class="ttdef"><b>Definition</b> <a href="#l00165">geometric_dist.cpp:165</a></div></div>
<div class="ttc" id="ageometric__dist_8cpp_html_a82964ca6180507deb5fafc71050012ba"><div class="ttname"><a href="../../de/d72/geometric__dist_8cpp.html#a82964ca6180507deb5fafc71050012ba">probability::geometric_dist::generate_uniform</a></div><div class="ttdeci">float generate_uniform()</div><div class="ttdoc">Returns a random number between [0,1].</div><div class="ttdef"><b>Definition</b> <a href="#l00048">geometric_dist.cpp:48</a></div></div>
<div class="ttc" id="ageometric__dist_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../de/d72/geometric__dist_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="#l00197">geometric_dist.cpp:197</a></div></div>
<div class="ttc" id="ageometric__dist_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/d72/geometric__dist_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="#l00256">geometric_dist.cpp:256</a></div></div>
<div class="ttc" id="anamespacegeometric__dist_html"><div class="ttname"><a href="../../dd/d8a/namespacegeometric__dist.html">geometric_dist</a></div><div class="ttdoc">Functions for the Geometric Distribution algorithm implementation.</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>
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