backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-03-21 12:23:13 +08:00
Code Issues Projects Releases Wiki Activity
Files
4d3723dfc367aee96ded3fb945efb01dc40e71f6
C-Plus-Plus/d8/db1/binomial__calculate_8cpp.html
realstealthninja b41207008f Documentation for f1eddf4d65
2025-07-09 10:53:16 +00:00

321 lines
20 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 1.14.0"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>TheAlgorithms/C++: math/binomial_calculate.cpp File Reference</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="../../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 1.14.0 -->
<script type="text/javascript">
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
</script>
<script type="text/javascript">
$(function() { codefold.init(); });
</script>
<script type="text/javascript" src="../../menudata.js"></script>
<script type="text/javascript" src="../../menu.js"></script>
<script type="text/javascript">
$(function() {
initMenu('../../',true,false,'search.php','Search',true);
$(function() { init_search(); });
});
</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">
$(function(){initNavTree('d8/db1/binomial__calculate_8cpp.html','../../',''); });
</script>
<div id="container">
<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 File Reference</div></div>
</div><!--header-->
<div class="contents">
<p>Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;cstdlib&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for binomial_calculate.cpp:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" loading="lazy" frameborder="0" src="../../db/d91/binomial__calculate_8cpp__incl.svg" width="339" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div>
<p><a href="../../d8/db1/binomial__calculate_8cpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:math" id="r_math"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
<tr class="memdesc:dd/d47/namespacemath"><td class="mdescLeft">&#160;</td><td class="mdescRight">for assert <br /></td></tr>
<tr class="memitem:binomial" id="r_binomial"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d7a/namespacebinomial.html">binomial</a></td></tr>
<tr class="memdesc:d7/d7a/namespacebinomial"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a> implementation. <br /></td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 id="header-func-members" class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aae407a2a13362c4c64fbe509ff325978" id="r_aae407a2a13362c4c64fbe509ff325978"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a> (int32_t n, int32_t k)</td></tr>
<tr class="memdesc:aae407a2a13362c4c64fbe509ff325978"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to calculate binomial coefficients. <br /></td></tr>
<tr class="memitem:a483bb8ccf42aaf7375a83e91490eda1e" id="r_a483bb8ccf42aaf7375a83e91490eda1e"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a> ()</td></tr>
<tr class="memdesc:a483bb8ccf42aaf7375a83e91490eda1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test implementations. <br /></td></tr>
<tr class="memitem:ac0f2228420376f4db7e1274f2b41667c" id="r_ac0f2228420376f4db7e1274f2b41667c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac0f2228420376f4db7e1274f2b41667c">main</a> (int argc, const char *argv[])</td></tr>
<tr class="memdesc:ac0f2228420376f4db7e1274f2b41667c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
</table>
<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Program to calculate <a href="https://en.wikipedia.org/wiki/Binomial_coefficient" target="_blank">Binomial coefficients</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/astronmax" target="_blank">astronmax</a> </dd></dl>
<p class="definition">Definition in file <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html">binomial_calculate.cpp</a>.</p>
</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" class="groupheader">Function Documentation</h2>
<a id="aae407a2a13362c4c64fbe509ff325978" name="aae407a2a13362c4c64fbe509ff325978"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aae407a2a13362c4c64fbe509ff325978">&#9670;&#160;</a></span>calculate()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">size_t math::binomial::calculate </td>
<td>(</td>
<td class="paramtype">int32_t</td> <td class="paramname"><span class="paramname"><em>n</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int32_t</td> <td class="paramname"><span class="paramname"><em>k</em></span>&#160;)</td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to calculate binomial coefficients. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>first value </td></tr>
<tr><td class="paramname">k</td><td>second value </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>binomial coefficient for n and k </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html#l00032">32</a> of file <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html">binomial_calculate.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 32</span> {</div>
<div class="line"><span class="lineno"> 33</span> <span class="comment">// basic cases</span></div>
<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> (k &gt; (n / 2))</div>
<div class="line"><span class="lineno"> 35</span> k = n - k;</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">if</span> (k == 1)</div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">return</span> n;</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (k == 0)</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><span class="lineno"> 40</span> </div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordtype">size_t</span> result = 1;</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">for</span> (int32_t i = 1; i &lt;= k; ++i) {</div>
<div class="line"><span class="lineno"> 43</span> result *= n - k + i;</div>
<div class="line"><span class="lineno"> 44</span> result /= i;</div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> </div>
<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><span class="lineno"> 48</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="ac0f2228420376f4db7e1274f2b41667c" name="ac0f2228420376f4db7e1274f2b41667c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac0f2228420376f4db7e1274f2b41667c">&#9670;&#160;</a></span>main()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>argc</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const char *</td> <td class="paramname"><span class="paramname"><em>argv</em></span>[]&#160;)</td>
</tr>
</table>
</div><div class="memdoc">
<p>Main function. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">argc</td><td>commandline argument count </td></tr>
<tr><td class="paramname">argv</td><td>commandline array of arguments </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html#l00079">79</a> of file <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html">binomial_calculate.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 79</span> {</div>
<div class="line"><span class="lineno"> 80</span> <a class="code hl_function" href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span> (argc &lt; 3) {</div>
<div class="line"><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"><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<div class="line"><span class="lineno"> 86</span> </div>
<div class="line"><span class="lineno"> 87</span> int32_t n = atoi(argv[1]);</div>
<div class="line"><span class="lineno"> 88</span> int32_t <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = atoi(argv[2]);</div>
<div class="line"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> std::cout &lt;&lt; <a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 92</span>}</div>
<div class="ttc" id="abinomial__calculate_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#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="../../d8/db1/binomial__calculate_8cpp_source.html#l00056">binomial_calculate.cpp:56</a></div></div>
<div class="ttc" id="abinomial__calculate_8cpp_html_aae407a2a13362c4c64fbe509ff325978"><div class="ttname"><a href="#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="../../d8/db1/binomial__calculate_8cpp_source.html#l00032">binomial_calculate.cpp:32</a></div></div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
</div><!-- fragment -->
</div>
</div>
<a id="a483bb8ccf42aaf7375a83e91490eda1e" name="a483bb8ccf42aaf7375a83e91490eda1e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">&#9670;&#160;</a></span>tests()</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">void tests </td>
<td>(</td>
<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel static">static</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html#l00056">56</a> of file <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html">binomial_calculate.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
<div class="line"><span class="lineno"> 57</span> <span class="comment">// tests for calculate function</span></div>
<div class="line"><span class="lineno"> 58</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(1, 1) == 1);</div>
<div class="line"><span class="lineno"> 59</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(57, 57) == 1);</div>
<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(6, 3) == 20);</div>
<div class="line"><span class="lineno"> 61</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(10, 5) == 252);</div>
<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(20, 10) == 184756);</div>
<div class="line"><span class="lineno"> 63</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(30, 15) == 155117520);</div>
<div class="line"><span class="lineno"> 64</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(40, 20) == 137846528820);</div>
<div class="line"><span class="lineno"> 65</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(50, 25) == 126410606437752);</div>
<div class="line"><span class="lineno"> 66</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(60, 30) == 118264581564861424);</div>
<div class="line"><span class="lineno"> 67</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(62, 31) == 465428353255261088);</div>
<div class="line"><span class="lineno"> 68</span> </div>
<div class="line"><span class="lineno"> 69</span> std::cout &lt;&lt; <span class="stringliteral">&quot;[+] Binomial coefficients calculate test completed&quot;</span></div>
<div class="line"><span class="lineno"> 70</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 71</span>}</div>
</div><!-- fragment -->
</div>
</div>
</div><!-- contents -->
</div><!-- doc-content -->
<div id="page-nav" class="page-nav-panel">
<div id="page-nav-resize-handle"></div>
<div id="page-nav-tree">
<div id="page-nav-contents">
</div><!-- page-nav-contents -->
</div><!-- page-nav-tree -->
</div><!-- page-nav -->
</div><!-- container -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a 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> 1.14.0 </li>
</ul>
</div>
</body>
</html>
Reference in New Issue View Git Blame Copy Permalink