Files
C-Plus-Plus/d7/d89/double__factorial_8cpp_source.html
2025-07-09 10:53:16 +00:00

191 lines
15 KiB
HTML

<!-- 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/double_factorial.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="../../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('d7/d89/double__factorial_8cpp_source.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">double_factorial.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d7/d89/double__factorial_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="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span></div>
<div class="foldopen" id="foldopen00018" data-start="{" data-end="}">
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"><a class="line" href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26"> 18</a></span>uint64_t <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26">double_factorial_iterative</a>(uint64_t n) {</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> uint64_t res = 1;</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> <span class="keywordflow">for</span> (uint64_t i = n;; i -= 2) {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">if</span> (i == 0 || i == 1)</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> res *= i;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> }</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span>}</div>
</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span></div>
<div class="foldopen" id="foldopen00031" data-start="{" data-end="}">
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../d7/d89/double__factorial_8cpp.html#a68ba20fed2ce427f6469c7689437829d"> 31</a></span>uint64_t <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a68ba20fed2ce427f6469c7689437829d">double_factorial_recursive</a>(uint64_t n) {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">if</span> (n &lt;= 1)</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">return</span> n * <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a68ba20fed2ce427f6469c7689437829d">double_factorial_recursive</a>(n - 2);</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span>}</div>
</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span></div>
<div class="foldopen" id="foldopen00043" data-start="{" data-end="}">
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="../../d7/d89/double__factorial_8cpp.html#abbbcebf3a2d0c67f4c3cfb5511a97981"> 43</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(uint64_t n, uint64_t expected) {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> assert(<a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26">double_factorial_iterative</a>(n) == expected);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> assert(<a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a68ba20fed2ce427f6469c7689437829d">double_factorial_recursive</a>(n) == expected);</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>}</div>
</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="foldopen" id="foldopen00051" data-start="{" data-end="}">
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="../../d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9"> 51</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>() {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 1:\t n=5\t...&quot;</span>;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(5, 15);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 2:\t n=15\t...&quot;</span>;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(15, 2027025);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test 3:\t n=0\t...&quot;</span>;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(0, 1);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> std::cout &lt;&lt; <span class="stringliteral">&quot;passed\n&quot;</span>;</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span>}</div>
</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span></div>
<div class="foldopen" id="foldopen00068" data-start="{" data-end="}">
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="../../d7/d89/double__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 68</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_function" href="../../d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
</div>
<div class="ttc" id="adouble__factorial_8cpp_html_a0a3c417360400093891a9ccddaa4be26"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26">double_factorial_iterative</a></div><div class="ttdeci">uint64_t double_factorial_iterative(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="#l00018">double_factorial.cpp:18</a></div></div>
<div class="ttc" id="adouble__factorial_8cpp_html_a68ba20fed2ce427f6469c7689437829d"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#a68ba20fed2ce427f6469c7689437829d">double_factorial_recursive</a></div><div class="ttdeci">uint64_t double_factorial_recursive(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="#l00031">double_factorial.cpp:31</a></div></div>
<div class="ttc" id="adouble__factorial_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition</b> <a href="#l00051">double_factorial.cpp:51</a></div></div>
<div class="ttc" id="adouble__factorial_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="#l00068">double_factorial.cpp:68</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_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> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">generate_parentheses.cpp:82</a></div></div>
</div><!-- fragment --></div><!-- contents -->
</div><!-- doc-content -->
</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="../../d7/d89/double__factorial_8cpp.html">double_factorial.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>