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<div class="headertitle"><div class="title">poisson_dist.cpp</div></div>
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<a href="../../d9/d24/poisson__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>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span></div>
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<div class="foldopen" id="foldopen00017" data-start="{" data-end="}">
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8"> 17</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8">poisson_rate</a>(<span class="keywordtype">double</span> events, <span class="keywordtype">double</span> timeframe) {</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keywordflow">return</span> events / timeframe;</div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span>}</div>
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</div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#ad0aa718023ce802dd5899f0e03a7ac71"> 25</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ad0aa718023ce802dd5899f0e03a7ac71">poisson_expected</a>(<span class="keywordtype">double</span> rate, <span class="keywordtype">double</span> time) { <span class="keywordflow">return</span> rate * time; }</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span></div>
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<div class="foldopen" id="foldopen00030" data-start="{" data-end="}">
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#a63ffd347e75d5ed7a518cbcfbfeec71a"> 30</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#a63ffd347e75d5ed7a518cbcfbfeec71a">fact</a>(<span class="keywordtype">double</span> x) {</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">double</span> x_fact = x;</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = x - 1; i > 0; i--) {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> x_fact *= i;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> }</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">if</span> (x_fact <= 0) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> x_fact = 1;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> x_fact;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span>}</div>
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</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span></div>
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<div class="foldopen" id="foldopen00046" data-start="{" data-end="}">
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#a69a136b32707bdc7950fb9057b5fa1e1"> 46</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#a69a136b32707bdc7950fb9057b5fa1e1">poisson_x_successes</a>(<span class="keywordtype">double</span> expected, <span class="keywordtype">double</span> x) {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> (std::pow(expected, x) * std::exp(-expected)) / <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#a63ffd347e75d5ed7a518cbcfbfeec71a">fact</a>(x);</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
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</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span></div>
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<div class="foldopen" id="foldopen00054" data-start="{" data-end="}">
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#ad9c9e74079278ca10e3b97a8d5391c9a"> 54</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ad9c9e74079278ca10e3b97a8d5391c9a">poisson_range_successes</a>(<span class="keywordtype">double</span> expected, <span class="keywordtype">double</span> <a class="code hl_function" href="../../dc/db5/text__search_8cpp.html#a3f8975d227cd0e58f298b380c5dac0d9">lower</a>, <span class="keywordtype">double</span> upper) {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">double</span> <a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a> = 0;</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = <a class="code hl_function" href="../../dc/db5/text__search_8cpp.html#a3f8975d227cd0e58f298b380c5dac0d9">lower</a>; i <= upper; i++) {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a> += <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#a69a136b32707bdc7950fb9057b5fa1e1">poisson_x_successes</a>(expected, i);</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../d4/ded/namespaceprobability.html">probability</a>;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
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</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span></div>
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<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="../../d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 65</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordtype">double</span> rate, expected;</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> rate = <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8">poisson_rate</a>(3, 1);</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> std::cout << <span class="stringliteral">"Poisson rate : "</span> << rate << std::endl;</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> expected = <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ad0aa718023ce802dd5899f0e03a7ac71">poisson_expected</a>(rate, 2);</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> std::cout << <span class="stringliteral">"Poisson expected : "</span> << expected << std::endl;</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> std::cout << <span class="stringliteral">"Poisson 0 successes : "</span> << <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#a69a136b32707bdc7950fb9057b5fa1e1">poisson_x_successes</a>(expected, 0)</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> << std::endl;</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> std::cout << <span class="stringliteral">"Poisson 0-8 successes : "</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> << <a class="code hl_function" href="../../d9/d24/poisson__dist_8cpp.html#ad9c9e74079278ca10e3b97a8d5391c9a">poisson_range_successes</a>(expected, 0, 8) << std::endl;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
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</div>
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<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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<div class="ttc" id="apoisson__dist_8cpp_html_a63ffd347e75d5ed7a518cbcfbfeec71a"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#a63ffd347e75d5ed7a518cbcfbfeec71a">fact</a></div><div class="ttdeci">double fact(double x)</div><div class="ttdef"><b>Definition</b> <a href="#l00030">poisson_dist.cpp:30</a></div></div>
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<div class="ttc" id="apoisson__dist_8cpp_html_a69a136b32707bdc7950fb9057b5fa1e1"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#a69a136b32707bdc7950fb9057b5fa1e1">poisson_x_successes</a></div><div class="ttdeci">double poisson_x_successes(double expected, double x)</div><div class="ttdef"><b>Definition</b> <a href="#l00046">poisson_dist.cpp:46</a></div></div>
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<div class="ttc" id="apoisson__dist_8cpp_html_ac217ab9a06291f360d816700a6958ca8"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8">poisson_rate</a></div><div class="ttdeci">double poisson_rate(double events, double timeframe)</div><div class="ttdef"><b>Definition</b> <a href="#l00017">poisson_dist.cpp:17</a></div></div>
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<div class="ttc" id="apoisson__dist_8cpp_html_ad0aa718023ce802dd5899f0e03a7ac71"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ad0aa718023ce802dd5899f0e03a7ac71">poisson_expected</a></div><div class="ttdeci">double poisson_expected(double rate, double time)</div><div class="ttdef"><b>Definition</b> <a href="#l00025">poisson_dist.cpp:25</a></div></div>
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<div class="ttc" id="apoisson__dist_8cpp_html_ad9c9e74079278ca10e3b97a8d5391c9a"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ad9c9e74079278ca10e3b97a8d5391c9a">poisson_range_successes</a></div><div class="ttdeci">double poisson_range_successes(double expected, double lower, double upper)</div><div class="ttdef"><b>Definition</b> <a href="#l00054">poisson_dist.cpp:54</a></div></div>
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<div class="ttc" id="apoisson__dist_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00065">poisson_dist.cpp:65</a></div></div>
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<div class="ttc" id="atext__search_8cpp_html_a3f8975d227cd0e58f298b380c5dac0d9"><div class="ttname"><a href="../../dc/db5/text__search_8cpp.html#a3f8975d227cd0e58f298b380c5dac0d9">lower</a></div><div class="ttdeci">std::string lower(std::string word)</div><div class="ttdoc">function to convert a C++ string to lower case</div><div class="ttdef"><b>Definition</b> <a href="../../dc/db5/text__search_8cpp_source.html#l00019">text_search.cpp:19</a></div></div>
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