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<p><a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a>
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <cmath></code><br />
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<code>#include <cstdint></code><br />
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<code>#include <ctime></code><br />
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<code>#include <iostream></code><br />
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<code>#include <limits></code><br />
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<code>#include <random></code><br />
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<code>#include <vector></code><br />
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Include dependency graph for geometric_dist.cpp:</div>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A class to model the geometric distribution. <a href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#details">More...</a><br /></td></tr>
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Namespaces</h2></td></tr>
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<tr class="memitem:d4/ded/namespaceprobability"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/ded/namespaceprobability.html">probability</a></td></tr>
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<tr class="memdesc:d4/ded/namespaceprobability"><td class="mdescLeft"> </td><td class="mdescRight">Probability algorithms. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:dd/d8a/namespacegeometric__dist"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d8a/namespacegeometric__dist.html">geometric_dist</a></td></tr>
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<tr class="memdesc:dd/d8a/namespacegeometric__dist"><td class="mdescLeft"> </td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> algorithm implementation. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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Functions</h2></td></tr>
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<tr class="memitem:a82964ca6180507deb5fafc71050012ba"><td class="memItemLeft" align="right" valign="top">float </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d72/geometric__dist_8cpp.html#a82964ca6180507deb5fafc71050012ba">probability::geometric_dist::generate_uniform</a> ()</td></tr>
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<tr class="memdesc:a82964ca6180507deb5fafc71050012ba"><td class="mdescLeft"> </td><td class="mdescRight">Returns a random number between [0,1]. <br /></td></tr>
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<tr class="separator:a82964ca6180507deb5fafc71050012ba"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a70fd1cc5c3a2813f28683dc75dcd65b6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a> (const <a class="el" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a> &dist)</td></tr>
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<tr class="memdesc:a70fd1cc5c3a2813f28683dc75dcd65b6"><td class="mdescLeft"> </td><td class="mdescRight">Tests the sampling method of the geometric distribution. <br /></td></tr>
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<tr class="separator:a70fd1cc5c3a2813f28683dc75dcd65b6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d72/geometric__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft"> </td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d72/geometric__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
|
||
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Geometric_distribution" target="_blank">Geometric Distribution</a> </p>
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<p>The geometric distribution models the experiment of doing Bernoulli trials until a sucess was observed. There are two formulations of the geometric distribution: 1) The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ... } 2) The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... } Here, the first one is implemented.</p>
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<p>Common variables used: p - The success probability k - The number of tries</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/DerAndereDomenic" target="_blank">Domenic Zingsheim</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a82964ca6180507deb5fafc71050012ba" name="a82964ca6180507deb5fafc71050012ba"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a82964ca6180507deb5fafc71050012ba">◆ </a></span>generate_uniform()</h2>
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<td class="memname">float probability::geometric_dist::generate_uniform </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Returns a random number between [0,1]. </p>
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<dl class="section return"><dt>Returns</dt><dd>A uniformly distributed random number between 0 (included) and 1 (included) </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 48</span> {</div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">rand</a>()) / <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(RAND_MAX);</div>
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<div class="line"><span class="lineno"> 50</span>}</div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/d72/geometric__dist_8cpp_a82964ca6180507deb5fafc71050012ba_cgraph.svg" width="168" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 256</span> {</div>
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<div class="line"><span class="lineno"> 257</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">srand</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">time</a>(<span class="keyword">nullptr</span>));</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 259</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 260</span>}</div>
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<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> geometric_dist.cpp:197</div></div>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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||
<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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</div><!-- fragment --><div class="dynheader">
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../de/d72/geometric__dist_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div></div>
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<a id="a70fd1cc5c3a2813f28683dc75dcd65b6" name="a70fd1cc5c3a2813f28683dc75dcd65b6"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a70fd1cc5c3a2813f28683dc75dcd65b6">◆ </a></span>sample_test()</h2>
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<td class="memname">void sample_test </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html">probability::geometric_dist::geometric_distribution</a> & </td>
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<td class="paramname"><em>dist</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Tests the sampling method of the geometric distribution. </p>
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<p>Draws 1000000 random samples and estimates mean and variance These should be close to the expected value and variance of the given distribution to pass. </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">dist</td><td>The distribution to test </td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><span class="lineno"> 166</span> {</div>
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<div class="line"><span class="lineno"> 167</span> uint32_t n_tries = 1000000;</div>
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<div class="line"><span class="lineno"> 168</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<float></a> tries;</div>
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<div class="line"><span class="lineno"> 169</span> tries.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/resize.html">resize</a>(n_tries);</div>
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<div class="line"><span class="lineno"> 170</span> </div>
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<div class="line"><span class="lineno"> 171</span> <span class="keywordtype">float</span> mean = 0.0f;</div>
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<div class="line"><span class="lineno"> 172</span> <span class="keywordflow">for</span> (uint32_t i = 0; i < n_tries; ++i) {</div>
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<div class="line"><span class="lineno"> 173</span> tries[i] = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a8aae1cebcf42ed2332f1c7217c401aa3">draw_sample</a>());</div>
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<div class="line"><span class="lineno"> 174</span> mean += tries[i];</div>
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<div class="line"><span class="lineno"> 175</span> }</div>
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<div class="line"><span class="lineno"> 176</span> </div>
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<div class="line"><span class="lineno"> 177</span> mean /= <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(n_tries);</div>
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<div class="line"><span class="lineno"> 178</span> </div>
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<div class="line"><span class="lineno"> 179</span> <span class="keywordtype">float</span> var = 0.0f;</div>
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<div class="line"><span class="lineno"> 180</span> <span class="keywordflow">for</span> (uint32_t i = 0; i < n_tries; ++i) {</div>
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<div class="line"><span class="lineno"> 181</span> var += (tries[i] - mean) * (tries[i] - mean);</div>
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<div class="line"><span class="lineno"> 182</span> }</div>
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<div class="line"><span class="lineno"> 183</span> </div>
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<div class="line"><span class="lineno"> 184</span> <span class="comment">// Unbiased estimate of variance</span></div>
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<div class="line"><span class="lineno"> 185</span> var /= <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(n_tries - 1);</div>
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<div class="line"><span class="lineno"> 186</span> </div>
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<div class="line"><span class="lineno"> 187</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"This value should be near "</span> << dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#a41051365f8ac7700f2ed5880a6760413">expected_value</a>() << <span class="stringliteral">": "</span></div>
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<div class="line"><span class="lineno"> 188</span> << mean << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 189</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"This value should be near "</span> << dist.<a class="code hl_function" href="../../da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aea8b0d649f0dc9a6f8baf3341a0b4960">variance</a>() << <span class="stringliteral">": "</span> << var</div>
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<div class="line"><span class="lineno"> 190</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 191</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<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> geometric_dist.cpp:71</div></div>
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<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> geometric_dist.cpp:125</div></div>
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<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> geometric_dist.cpp:77</div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="ttc" id="aresize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/resize.html">std::vector::resize</a></div><div class="ttdeci">T resize(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">◆ </a></span>test()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="mlabels">
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<tr>
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<td class="mlabels-left">
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<table class="memname">
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<tr>
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<td class="memname">static void test </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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</tr>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
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<p>Self-test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 197</span> {</div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 199</span> </div>
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<div class="line"><span class="lineno"> 200</span> <span class="keyword">const</span> <span class="keywordtype">float</span> threshold = 1e-3f;</div>
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<div class="line"><span class="lineno"> 201</span> </div>
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<div class="line"><span class="lineno"> 202</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Starting tests for p = 0.3..."</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 203</span> assert(std::abs(dist.expected_value() - 3.33333333f) < threshold);</div>
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<div class="line"><span class="lineno"> 204</span> assert(std::abs(dist.variance() - 7.77777777f) < threshold);</div>
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<div class="line"><span class="lineno"> 205</span> assert(std::abs(dist.standard_deviation() - 2.788866755) < threshold);</div>
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<div class="line"><span class="lineno"> 206</span> assert(std::abs(dist.probability_density(5) - 0.07203) < threshold);</div>
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<div class="line"><span class="lineno"> 207</span> assert(std::abs(dist.cumulative_distribution(6) - 0.882351) < threshold);</div>
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<div class="line"><span class="lineno"> 208</span> assert(std::abs(dist.inverse_cumulative_distribution(</div>
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<div class="line"><span class="lineno"> 209</span> dist.cumulative_distribution(8)) -</div>
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<div class="line"><span class="lineno"> 210</span> 8) < threshold);</div>
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<div class="line"><span class="lineno"> 211</span> assert(std::abs(dist.range_tries() - 1.0f) < threshold);</div>
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<div class="line"><span class="lineno"> 212</span> assert(std::abs(dist.range_tries(3) - 0.49f) < threshold);</div>
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<div class="line"><span class="lineno"> 213</span> assert(std::abs(dist.range_tries(5, 11) - 0.2203267f) < threshold);</div>
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<div class="line"><span class="lineno"> 214</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All tests passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 215</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
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<div class="line"><span class="lineno"> 216</span> </div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 218</span> </div>
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<div class="line"><span class="lineno"> 219</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Starting tests for p = 0.5..."</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 220</span> assert(std::abs(dist.expected_value() - 2.0f) < threshold);</div>
|
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<div class="line"><span class="lineno"> 221</span> assert(std::abs(dist.variance() - 2.0f) < threshold);</div>
|
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<div class="line"><span class="lineno"> 222</span> assert(std::abs(dist.standard_deviation() - 1.4142135f) < threshold);</div>
|
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<div class="line"><span class="lineno"> 223</span> assert(std::abs(dist.probability_density(5) - 0.03125) < threshold);</div>
|
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<div class="line"><span class="lineno"> 224</span> assert(std::abs(dist.cumulative_distribution(6) - 0.984375) < threshold);</div>
|
||
<div class="line"><span class="lineno"> 225</span> assert(std::abs(dist.inverse_cumulative_distribution(</div>
|
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<div class="line"><span class="lineno"> 226</span> dist.cumulative_distribution(8)) -</div>
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<div class="line"><span class="lineno"> 227</span> 8) < threshold);</div>
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<div class="line"><span class="lineno"> 228</span> assert(std::abs(dist.range_tries() - 1.0f) < threshold);</div>
|
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<div class="line"><span class="lineno"> 229</span> assert(std::abs(dist.range_tries(3) - 0.25f) < threshold);</div>
|
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<div class="line"><span class="lineno"> 230</span> assert(std::abs(dist.range_tries(5, 11) - 0.062011f) < threshold);</div>
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<div class="line"><span class="lineno"> 231</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All tests passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 232</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
|
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<div class="line"><span class="lineno"> 233</span> </div>
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<div class="line"><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>
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<div class="line"><span class="lineno"> 235</span> </div>
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<div class="line"><span class="lineno"> 236</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Starting tests for p = 0.8..."</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 237</span> assert(std::abs(dist.expected_value() - 1.25f) < threshold);</div>
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<div class="line"><span class="lineno"> 238</span> assert(std::abs(dist.variance() - 0.3125f) < threshold);</div>
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<div class="line"><span class="lineno"> 239</span> assert(std::abs(dist.standard_deviation() - 0.559016f) < threshold);</div>
|
||
<div class="line"><span class="lineno"> 240</span> assert(std::abs(dist.probability_density(5) - 0.00128) < threshold);</div>
|
||
<div class="line"><span class="lineno"> 241</span> assert(std::abs(dist.cumulative_distribution(6) - 0.999936) < threshold);</div>
|
||
<div class="line"><span class="lineno"> 242</span> assert(std::abs(dist.inverse_cumulative_distribution(</div>
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<div class="line"><span class="lineno"> 243</span> dist.cumulative_distribution(8)) -</div>
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<div class="line"><span class="lineno"> 244</span> 8) < threshold);</div>
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<div class="line"><span class="lineno"> 245</span> assert(std::abs(dist.range_tries() - 1.0f) < threshold);</div>
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<div class="line"><span class="lineno"> 246</span> assert(std::abs(dist.range_tries(3) - 0.04f) < threshold);</div>
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<div class="line"><span class="lineno"> 247</span> assert(std::abs(dist.range_tries(5, 11) - 0.00159997f) < threshold);</div>
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<div class="line"><span class="lineno"> 248</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All tests have successfully passed!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 249</span> <a class="code hl_function" href="../../de/d72/geometric__dist_8cpp.html#a70fd1cc5c3a2813f28683dc75dcd65b6">sample_test</a>(dist);</div>
|
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<div class="line"><span class="lineno"> 250</span>}</div>
|
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<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> geometric_dist.cpp:55</div></div>
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<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 &dist)</div><div class="ttdoc">Tests the sampling method of the geometric distribution.</div><div class="ttdef"><b>Definition</b> geometric_dist.cpp:165</div></div>
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