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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<a href="#func-members">Functions</a> </div>
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<div class="title">binomial_dist.cpp File Reference</div> </div>
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<div class="headertitle"><div class="title">binomial_dist.cpp File Reference</div></div>
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</div><!--header-->
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<div class="contents">
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<p><a href="https://en.wikipedia.org/wiki/Binomial_distribution">Binomial distribution</a> example
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<p><a href="https://en.wikipedia.org/wiki/Binomial_distribution" target="_blank">Binomial distribution</a> example
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cmath></code><br />
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<code>#include <iostream></code><br />
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Functions</h2></td></tr>
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<tr class="memitem:a4416a7bc7fa87201883c54cdc4c82813"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a> (double n, double p)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Binomial_distribution">Binomial distribution</a> example </p>
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<p>The binomial distribution models the number of successes in a sequence of n independent events</p>
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<p>Summary of variables used:</p><ul>
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<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Binomial_distribution" target="_blank">Binomial distribution</a> example </p>
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<p >The binomial distribution models the number of successes in a sequence of n independent events</p>
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<p >Summary of variables used:</p><ul>
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<li>n : number of trials</li>
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<li>p : probability of success</li>
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<li>x : desired successes </li>
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</ul>
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</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a4416a7bc7fa87201883c54cdc4c82813">◆ </a></span>binomial_expected()</h2>
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<p>finds the expected value of a binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<p >finds the expected value of a binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>\(\mu=np\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> { <span class="keywordflow">return</span> n * p; }</div>
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<div class="fragment"><div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span>{ <span class="keywordflow">return</span> n * p; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a76ed6ce71415fb400b65f0656cef3d25">◆ </a></span>binomial_range_successes()</h2>
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<p>calculates the probability of a result within a range (inclusive, inclusive) </p><dl class="section return"><dt>Returns</dt><dd>\(\displaystyle \left.P(n,p)\right|_{x_0}^{x_1} = \sum_{i=x_0}^{x_1} P(i) =\sum_{i=x_0}^{x_1} {n\choose i} p^i (1-p)^{n-i}\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  {</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordtype">double</span> probability = 0;</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = lower_bound; i <= <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/upper_bound.html">upper_bound</a>; i++) {</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  probability += <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(n, i) * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(p, i) * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(1 - p, n - i);</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> probability;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> }</div>
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<p >calculates the probability of a result within a range (inclusive, inclusive) </p><dl class="section return"><dt>Returns</dt><dd>\(\displaystyle \left.P(n,p)\right|_{x_0}^{x_1} = \sum_{i=x_0}^{x_1} P(i) =\sum_{i=x_0}^{x_1} {n\choose i} p^i (1-p)^{n-i}\) </dd></dl>
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<div class="fragment"><div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> {</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordtype">double</span> probability = 0;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = lower_bound; i <= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/upper_bound.html">upper_bound</a>; i++) {</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> probability += <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(n, i) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(p, i) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(1 - p, n - i);</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 class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> probability;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>}</div>
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<div class="ttc" id="abinomial__dist_8cpp_html_a78d36635232e54b5d71fcbf1eac9a49a"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a></div><div class="ttdeci">double nCr(double n, double r)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:47</div></div>
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<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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<div class="ttc" id="aupper_bound_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/upper_bound.html">std::upper_bound</a></div><div class="ttdeci">T upper_bound(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#af09e51f513cee647d41192ab0a872cdc">◆ </a></span>binomial_standard_deviation()</h2>
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<p>finds the standard deviation of the binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<p >finds the standard deviation of the binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>\(\sigma = \sqrt{\sigma^2} = \sqrt{n\cdot p\cdot (1-p)}\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  {</div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(<a class="code" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(n, p));</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="fragment"><div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(<a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(n, p));</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="ttc" id="abinomial__dist_8cpp_html_acd4dd4558031e4c5d045c801f73d8861"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a></div><div class="ttdeci">double binomial_variance(double n, double p)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:29</div></div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#acd4dd4558031e4c5d045c801f73d8861">◆ </a></span>binomial_variance()</h2>
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<p>finds the variance of the binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<p >finds the variance of the binomial distribution </p><dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td></td></tr>
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<dl class="section return"><dt>Returns</dt><dd>\(\sigma^2 = n\cdot p\cdot (1-p)\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> { <span class="keywordflow">return</span> n * p * (1 - p); }</div>
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<div class="fragment"><div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>{ <span class="keywordflow">return</span> n * p * (1 - p); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">◆ </a></span>binomial_x_successes()</h2>
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<p>calculates the probability of exactly x successes </p><dl class="section return"><dt>Returns</dt><dd>\(\displaystyle P(n,p,x) = {n\choose x} p^x (1-p)^{n-x}\) </dd></dl>
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<div class="fragment"><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">return</span> <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(n, x) * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(p, x) * <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(1 - p, n - x);</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> }</div>
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<p >calculates the probability of exactly x successes </p><dl class="section return"><dt>Returns</dt><dd>\(\displaystyle P(n,p,x) = {n\choose x} p^x (1-p)^{n-x}\) </dd></dl>
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<div class="fragment"><div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> {</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a>(n, x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(p, x) * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(1 - p, n - x);</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<p>main function </p>
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<div class="fragment"><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"expected value : "</span> << <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a>(100, 0.5)</div>
|
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"variance : "</span> << <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(100, 0.5) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"standard deviation : "</span></div>
|
||||
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  << <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#af09e51f513cee647d41192ab0a872cdc">binomial_standard_deviation</a>(100, 0.5) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  </div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"exactly 30 successes : "</span> << <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">binomial_x_successes</a>(100, 0.5, 30)</div>
|
||||
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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||||
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  </div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"45 or more successes : "</span></div>
|
||||
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  << <a class="code" href="../../d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_range_successes</a>(100, 0.5, 45, 100) << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
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||||
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> }</div>
|
||||
<p >main function </p>
|
||||
<div class="fragment"><div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> {</div>
|
||||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</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">"expected value : "</span> << <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a>(100, 0.5)</div>
|
||||
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
|
||||
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</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">"variance : "</span> << <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#acd4dd4558031e4c5d045c801f73d8861">binomial_variance</a>(100, 0.5) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
|
||||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</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">"standard deviation : "</span></div>
|
||||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> << <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#af09e51f513cee647d41192ab0a872cdc">binomial_standard_deviation</a>(100, 0.5) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
|
||||
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</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">"exactly 30 successes : "</span> << <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">binomial_x_successes</a>(100, 0.5, 30)</div>
|
||||
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
|
||||
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</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">"45 or more successes : "</span></div>
|
||||
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> << <a class="code hl_function" href="../../d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_range_successes</a>(100, 0.5, 45, 100) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
|
||||
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span>}</div>
|
||||
<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>
|
||||
<div class="ttc" id="abinomial__dist_8cpp_html_a19ae0a6a2bd200fd1eb0e31b2bf4cc76"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">binomial_x_successes</a></div><div class="ttdeci">double binomial_x_successes(double n, double p, double x)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:65</div></div>
|
||||
<div class="ttc" id="abinomial__dist_8cpp_html_a4416a7bc7fa87201883c54cdc4c82813"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a></div><div class="ttdeci">double binomial_expected(double n, double p)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:22</div></div>
|
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<a id="a78d36635232e54b5d71fcbf1eac9a49a"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a78d36635232e54b5d71fcbf1eac9a49a">◆ </a></span>nCr()</h2>
|
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<div class="memitem">
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@@ -429,7 +428,7 @@ Here is the call graph for this function:</div>
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</tr>
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||||
<p>Computes n choose r </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<p >Computes n choose r </p><dl class="params"><dt>Parameters</dt><dd>
|
||||
<table class="params">
|
||||
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td></td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">r</td><td></td></tr>
|
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</dd>
|
||||
</dl>
|
||||
<dl class="section return"><dt>Returns</dt><dd>\(\displaystyle {n\choose r} = \frac{n!}{r!(n-r)!} = \frac{n\times(n-1)\times(n-2)\times\cdots(n-r)}{r!} \) </dd></dl>
|
||||
<div class="fragment"><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  {</div>
|
||||
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="keywordtype">double</span> numerator = n;</div>
|
||||
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordtype">double</span> denominator = r;</div>
|
||||
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
|
||||
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = n - 1; i >= ((n - r) + 1); i--) {</div>
|
||||
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  numerator *= i;</div>
|
||||
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  }</div>
|
||||
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  </div>
|
||||
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < r; i++) {</div>
|
||||
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  denominator *= i;</div>
|
||||
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
|
||||
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
|
||||
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> numerator / denominator;</div>
|
||||
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
|
||||
<div class="fragment"><div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> {</div>
|
||||
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">double</span> numerator = n;</div>
|
||||
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordtype">double</span> denominator = r;</div>
|
||||
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
|
||||
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = n - 1; i >= ((n - r) + 1); i--) {</div>
|
||||
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> numerator *= i;</div>
|
||||
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
|
||||
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
|
||||
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < r; i++) {</div>
|
||||
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> denominator *= i;</div>
|
||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> }</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="keywordflow">return</span> numerator / denominator;</div>
|
||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
|
||||
</div><!-- fragment -->
|
||||
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|
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|
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@@ -460,7 +459,7 @@ Here is the call graph for this function:</div>
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||||
<ul>
|
||||
<li class="navelem"><a class="el" href="../../dir_82e494173a87936756866de2fa774307.html">probability</a></li><li class="navelem"><a class="el" href="../../d6/db0/binomial__dist_8cpp.html">binomial_dist.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.1 </li>
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