backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-03-22 04:42:10 +08:00
Code Issues Projects Releases Wiki Activity
Files
14583a2f33720eba2e2786d75e8e2312b85fa667
C-Plus-Plus/d8/db1/binomial__calculate_8cpp_source.html
realstealthninja 14583a2f33 Documentation for c26eea874d
2025-05-19 11:38:33 +00:00

209 lines
18 KiB
HTML
Raw Blame History

<!-- HTML header for doxygen 1.12.0-->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en-US">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
<meta name="generator" content="Doxygen 1.13.2"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>TheAlgorithms/C++: math/binomial_calculate.cpp Source File</title>
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../jquery.js"></script>
<script type="text/javascript" src="../../dynsections.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/npm/@xpack-3rd-party/doxygen-awesome-css@2.2.0-1/doxygen-awesome-darkmode-toggle.js"></script>
<script type="text/javascript">
DoxygenAwesomeDarkModeToggle.init()
</script>
<script type="text/javascript" src="../../clipboard.js"></script>
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../navtreedata.js"></script>
<script type="text/javascript" src="../../navtree.js"></script>
<script type="text/javascript" src="../../resize.js"></script>
<script type="text/javascript" src="../../cookie.js"></script>
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="../../search/searchdata.js"></script>
<script type="text/javascript" src="../../search/search.js"></script>
<script type="text/javascript">
window.MathJax = {
options: {
ignoreHtmlClass: 'tex2jax_ignore',
processHtmlClass: 'tex2jax_process'
},
loader: {
load: ['[tex]/ams']
},
tex: {
macros: {},
packages: ['base','configmacros','ams']
}
};
</script>
<script type="text/javascript" id="MathJax-script" async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"></script>
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
<link href="../../doxygen-awesome.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr id="projectrow">
<td id="projectlogo"><img alt="Logo" src="../../project_logo.png"/></td>
<td id="projectalign">
<div id="projectname">TheAlgorithms/C++<span id="projectnumber">&#160;1.0.0</span>
</div>
<div id="projectbrief">All the algorithms implemented in C++</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.13.2 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
/* @license-end */
</script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() { codefold.init(1); });
/* @license-end */
</script>
<script type="text/javascript" src="../../menudata.js"></script>
<script type="text/javascript" src="../../menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function() {
initMenu('../../',true,false,'search.php','Search',true);
$(function() { init_search(); });
});
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
<div id="nav-tree">
<div id="nav-tree-contents">
<div id="nav-sync" class="sync"></div>
</div>
</div>
<div id="splitbar" style="-moz-user-select:none;"
class="ui-resizable-handle">
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
$(function(){initNavTree('d8/db1/binomial__calculate_8cpp_source.html','../../'); initResizable(true); });
/* @license-end */
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<div id="MSearchResults">
<div class="SRPage">
<div id="SRIndex">
<div id="SRResults"></div>
<div class="SRStatus" id="Loading">Loading...</div>
<div class="SRStatus" id="Searching">Searching...</div>
<div class="SRStatus" id="NoMatches">No Matches</div>
</div>
</div>
</div>
</div>
<div class="header">
<div class="headertitle"><div class="title">binomial_calculate.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d8/db1/binomial__calculate_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="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include &lt;cstdint&gt;</span> </div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include &lt;cstdlib&gt;</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d7a/namespacebinomial.html">binomial</a> {</div>
<div class="foldopen" id="foldopen00032" data-start="{" data-end="}">
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"><a class="line" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978"> 32</a></span><span class="keywordtype">size_t</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">calculate</a>(int32_t n, int32_t k) {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// basic cases</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">if</span> (k &gt; (n / 2))</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> k = n - k;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">if</span> (k == 1)</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> n;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (k == 0)</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">size_t</span> result = 1;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (int32_t i = 1; i &lt;= k; ++i) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> result *= n - k + i;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> result /= i;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>} <span class="comment">// namespace binomial</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>} <span class="comment">// namespace math</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span></div>
<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 56</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// tests for calculate function</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(1, 1) == 1);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(57, 57) == 1);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(6, 3) == 20);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(10, 5) == 252);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(20, 10) == 184756);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(30, 15) == 155117520);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(40, 20) == 137846528820);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(50, 25) == 126410606437752);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(60, 30) == 118264581564861424);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(62, 31) == 465428353255261088);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> std::cout &lt;&lt; <span class="stringliteral">&quot;[+] Binomial coefficients calculate test completed&quot;</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span></div>
<div class="foldopen" id="foldopen00079" data-start="{" data-end="}">
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="../../d8/db1/binomial__calculate_8cpp.html#ac0f2228420376f4db7e1274f2b41667c"> 79</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keyword">const</span> <span class="keywordtype">char</span>* argv[]) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">if</span> (argc &lt; 3) {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Usage ./binomial_calculate {n} {k}&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> int32_t n = atoi(argv[1]);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> int32_t k = atoi(argv[2]);</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> std::cout &lt;&lt; <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) &lt;&lt; std::endl;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>}</div>
</div>
<div class="ttc" id="abinomial__calculate_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> <a href="#l00056">binomial_calculate.cpp:56</a></div></div>
<div class="ttc" id="abinomial__calculate_8cpp_html_aae407a2a13362c4c64fbe509ff325978"><div class="ttname"><a href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a></div><div class="ttdeci">size_t calculate(int32_t n, int32_t k)</div><div class="ttdoc">Function to calculate binomial coefficients.</div><div class="ttdef"><b>Definition</b> <a href="#l00032">binomial_calculate.cpp:32</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
<div class="ttc" id="anamespacebinomial_html"><div class="ttname"><a href="../../d7/d7a/namespacebinomial.html">binomial</a></div><div class="ttdoc">Functions for Binomial coefficients implementation.</div></div>
<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d8/db1/binomial__calculate_8cpp.html">binomial_calculate.cpp</a></li>
<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> 1.13.2 </li>
</ul>
</div>
</body>
</html>
Reference in New Issue View Git Blame Copy Permalink