backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-03-21 04:18:34 +08:00
Code Issues Projects Releases Wiki Activity
Files
4fb6e622e95b35d0deca2ee5d22501a4153aa5fb
C-Plus-Plus/d8/db9/topological__sort_8cpp.html
realstealthninja 589b446f88 Documentation for 85d62bb80d
2024-11-01 17:23:36 +00:00

419 lines
36 KiB
HTML
Raw Blame History

<!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 1.12.0"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Algorithms_in_C++: graph/topological_sort.cpp File Reference</title>
<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="../../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/x-mathjax-config">
MathJax.Hub.Config({
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
jax: ["input/TeX","output/HTML-CSS"],
});
</script>
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
<link href="../../doxygen.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="projectalign">
<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
</div>
<div id="projectbrief">Set of algorithms implemented in C++.</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.12.0 -->
<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/db9/topological__sort_8cpp.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="summary">
<a href="#nested-classes">Classes</a> &#124;
<a href="#namespaces">Namespaces</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">topological_sort.cpp File Reference</div></div>
</div><!--header-->
<div class="contents">
<p><a href="https://en.wikipedia.org/wiki/Topological_sorting" target="_blank">Topological Sort Algorithm</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;stack&gt;</code><br />
<code>#include &lt;stdexcept&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for topological_sort.cpp:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/da9/topological__sort_8cpp__incl.svg" width="530" 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><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">graph::topological_sort::Graph</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class that represents a directed graph and provides methods for manipulating the graph. <a href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html">graph</a></td></tr>
<tr class="memdesc:df/dce/namespacegraph"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> Algorithms. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d76/namespacetopological__sort.html">topological_sort</a></td></tr>
<tr class="memdesc:d8/d76/namespacetopological__sort"><td class="mdescLeft">&#160;</td><td class="mdescRight">Topological Sort Algorithm. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:abcbcaa2bb70af0a11d0c090ea1796aea" id="r_abcbcaa2bb70af0a11d0c090ea1796aea"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#abcbcaa2bb70af0a11d0c090ea1796aea">graph::topological_sort::dfs</a> (int v, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;visited, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; &amp;graph, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack.html">std::stack</a>&lt; int &gt; &amp;s)</td></tr>
<tr class="memdesc:abcbcaa2bb70af0a11d0c090ea1796aea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to perform Depth First Search on the graph. <br /></td></tr>
<tr class="separator:abcbcaa2bb70af0a11d0c090ea1796aea"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a54dc5d7914958dbd24dda2fd862dc41b" id="r_a54dc5d7914958dbd24dda2fd862dc41b"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a54dc5d7914958dbd24dda2fd862dc41b">graph::topological_sort::topologicalSort</a> (const <a class="el" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">Graph</a> &amp;g)</td></tr>
<tr class="memdesc:a54dc5d7914958dbd24dda2fd862dc41b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function to get the topological sort of the graph. <br /></td></tr>
<tr class="separator:a54dc5d7914958dbd24dda2fd862dc41b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementation. <br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Topological_sorting" target="_blank">Topological Sort Algorithm</a> </p>
<p>Topological sorting of a directed graph is a linear ordering or its vertices such that for every directed edge (u,v) from vertex u to vertex v, u comes before v in the oredering.</p>
<p>A topological sort is possible only in a directed acyclic graph (DAG). This file contains code of finding topological sort using Kahn's Algorithm which involves using Depth First Search technique </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="abcbcaa2bb70af0a11d0c090ea1796aea" name="abcbcaa2bb70af0a11d0c090ea1796aea"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abcbcaa2bb70af0a11d0c090ea1796aea">&#9670;&#160;</a></span>dfs()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void graph::topological_sort::dfs </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>v</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>visited</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>graph</em></span>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack.html">std::stack</a>&lt; int &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>s</em></span>&#160;)</td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to perform Depth First Search on the graph. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>Starting vertex for depth-first search </td></tr>
<tr><td class="paramname">visited</td><td>Array representing whether each node has been visited </td></tr>
<tr><td class="paramname">graph</td><td>Adjacency list of the graph </td></tr>
<tr><td class="paramname">s</td><td>Stack containing the vertices for topological sorting </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><span class="lineno"> 80</span> {</div>
<div class="line"><span class="lineno"> 81</span> visited[v] = 1;</div>
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> neighbour : <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[v]) {</div>
<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">if</span> (!visited[neighbour]) {</div>
<div class="line"><span class="lineno"> 84</span> <a class="code hl_function" href="../../da/d4b/depth__first__search__with__stack_8cpp.html#a5738da9f508f6a9e87f123c9fb6f2ea9">dfs</a>(neighbour, visited, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, s);</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> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack/push.html">push</a>(v);</div>
<div class="line"><span class="lineno"> 88</span>}</div>
<div class="ttc" id="adepth__first__search__with__stack_8cpp_html_a5738da9f508f6a9e87f123c9fb6f2ea9"><div class="ttname"><a href="../../da/d4b/depth__first__search__with__stack_8cpp.html#a5738da9f508f6a9e87f123c9fb6f2ea9">graph::depth_first_search::dfs</a></div><div class="ttdeci">std::vector&lt; size_t &gt; dfs(const std::vector&lt; std::vector&lt; size_t &gt; &gt; &amp;graph, size_t start)</div><div class="ttdoc">Explores the given vertex, exploring a vertex means traversing over all the vertices which are connec...</div><div class="ttdef"><b>Definition</b> depth_first_search_with_stack.cpp:87</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
<div class="ttc" id="apush_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack/push.html">std::stack::push</a></div><div class="ttdeci">T push(T... args)</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/db9/topological__sort_8cpp_abcbcaa2bb70af0a11d0c090ea1796aea_cgraph.svg" width="298" height="52"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div>
</div>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#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">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 186</span> {</div>
<div class="line"><span class="lineno"> 187</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self test implementations</span></div>
<div class="line"><span class="lineno"> 188</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 189</span>}</div>
<div class="ttc" id="atopological__sort_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> topological_sort.cpp:126</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/db9/topological__sort_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="555" height="118"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div>
</div>
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
<tr>
<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static void test </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</span></span> </td>
</tr>
</table>
</div><div class="memdoc">
<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 126</span> {</div>
<div class="line"><span class="lineno"> 127</span> <span class="comment">// Test 1</span></div>
<div class="line"><span class="lineno"> 128</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Testing for graph 1\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 129</span> <span class="keywordtype">int</span> n_1 = 6;</div>
<div class="line"><span class="lineno"> 130</span> <a class="code hl_class" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">graph::topological_sort::Graph</a> graph1(n_1);</div>
<div class="line"><span class="lineno"> 131</span> graph1.addEdge(4, 0);</div>
<div class="line"><span class="lineno"> 132</span> graph1.addEdge(5, 0);</div>
<div class="line"><span class="lineno"> 133</span> graph1.addEdge(5, 2);</div>
<div class="line"><span class="lineno"> 134</span> graph1.addEdge(2, 3);</div>
<div class="line"><span class="lineno"> 135</span> graph1.addEdge(3, 1);</div>
<div class="line"><span class="lineno"> 136</span> graph1.addEdge(4, 1);</div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> ans_1 = <a class="code hl_function" href="#a54dc5d7914958dbd24dda2fd862dc41b">graph::topological_sort::topologicalSort</a>(graph1);</div>
<div class="line"><span class="lineno"> 138</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> expected_1 = {5, 4, 2, 3, 1, 0};</div>
<div class="line"><span class="lineno"> 139</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Topological Sorting Order: &quot;</span>;</div>
<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i : ans_1) {</div>
<div class="line"><span class="lineno"> 141</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 142</span> }</div>
<div class="line"><span class="lineno"> 143</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="charliteral">&#39;\n&#39;</span>;</div>
<div class="line"><span class="lineno"> 144</span> assert(ans_1 == expected_1);</div>
<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test Passed\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 146</span> </div>
<div class="line"><span class="lineno"> 147</span> <span class="comment">// Test 2</span></div>
<div class="line"><span class="lineno"> 148</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Testing for graph 2\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 149</span> <span class="keywordtype">int</span> n_2 = 5;</div>
<div class="line"><span class="lineno"> 150</span> <a class="code hl_class" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">graph::topological_sort::Graph</a> graph2(n_2);</div>
<div class="line"><span class="lineno"> 151</span> graph2.addEdge(0, 1);</div>
<div class="line"><span class="lineno"> 152</span> graph2.addEdge(0, 2);</div>
<div class="line"><span class="lineno"> 153</span> graph2.addEdge(1, 2);</div>
<div class="line"><span class="lineno"> 154</span> graph2.addEdge(2, 3);</div>
<div class="line"><span class="lineno"> 155</span> graph2.addEdge(1, 3);</div>
<div class="line"><span class="lineno"> 156</span> graph2.addEdge(2, 4);</div>
<div class="line"><span class="lineno"> 157</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> ans_2 = <a class="code hl_function" href="#a54dc5d7914958dbd24dda2fd862dc41b">graph::topological_sort::topologicalSort</a>(graph2);</div>
<div class="line"><span class="lineno"> 158</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> expected_2 = {0, 1, 2, 4, 3};</div>
<div class="line"><span class="lineno"> 159</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Topological Sorting Order: &quot;</span>;</div>
<div class="line"><span class="lineno"> 160</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i : ans_2) {</div>
<div class="line"><span class="lineno"> 161</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><span class="lineno"> 162</span> }</div>
<div class="line"><span class="lineno"> 163</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="charliteral">&#39;\n&#39;</span>;</div>
<div class="line"><span class="lineno"> 164</span> assert(ans_2 == expected_2);</div>
<div class="line"><span class="lineno"> 165</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test Passed\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 166</span> </div>
<div class="line"><span class="lineno"> 167</span> <span class="comment">// Test 3 - Graph with cycle</span></div>
<div class="line"><span class="lineno"> 168</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Testing for graph 3\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 169</span> <span class="keywordtype">int</span> n_3 = 3;</div>
<div class="line"><span class="lineno"> 170</span> <a class="code hl_class" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">graph::topological_sort::Graph</a> graph3(n_3);</div>
<div class="line"><span class="lineno"> 171</span> graph3.addEdge(0, 1);</div>
<div class="line"><span class="lineno"> 172</span> graph3.addEdge(1, 2);</div>
<div class="line"><span class="lineno"> 173</span> graph3.addEdge(2, 0);</div>
<div class="line"><span class="lineno"> 174</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 175</span> <a class="code hl_function" href="#a54dc5d7914958dbd24dda2fd862dc41b">graph::topological_sort::topologicalSort</a>(graph3);</div>
<div class="line"><span class="lineno"> 176</span> } <span class="keywordflow">catch</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>&amp; err) {</div>
<div class="line"><span class="lineno"> 177</span> assert(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>(err.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/exception/what.html">what</a>()) == <span class="stringliteral">&quot;cycle detected in graph&quot;</span>);</div>
<div class="line"><span class="lineno"> 178</span> }</div>
<div class="line"><span class="lineno"> 179</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test Passed\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 180</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="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
<div class="ttc" id="aclassgraph_1_1topological__sort_1_1_graph_html"><div class="ttname"><a href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">graph::topological_sort::Graph</a></div><div class="ttdoc">Class that represents a directed graph and provides methods for manipulating the graph.</div><div class="ttdef"><b>Definition</b> topological_sort.cpp:38</div></div>
<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
<div class="ttc" id="atopological__sort_8cpp_html_a54dc5d7914958dbd24dda2fd862dc41b"><div class="ttname"><a href="#a54dc5d7914958dbd24dda2fd862dc41b">graph::topological_sort::topologicalSort</a></div><div class="ttdeci">std::vector&lt; int &gt; topologicalSort(const Graph &amp;g)</div><div class="ttdoc">Function to get the topological sort of the graph.</div><div class="ttdef"><b>Definition</b> topological_sort.cpp:95</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
<div class="ttc" id="awhat_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/exception/what.html">std::invalid_argument::what</a></div><div class="ttdeci">T what(T... args)</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/db9/topological__sort_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="458" height="118"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div>
</div>
<a id="a54dc5d7914958dbd24dda2fd862dc41b" name="a54dc5d7914958dbd24dda2fd862dc41b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a54dc5d7914958dbd24dda2fd862dc41b">&#9670;&#160;</a></span>topologicalSort()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int &gt; graph::topological_sort::topologicalSort </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="../../d5/dec/classgraph_1_1topological__sort_1_1_graph.html">Graph</a> &amp;</td> <td class="paramname"><span class="paramname"><em>g</em></span></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to get the topological sort of the graph. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">g</td><td><a class="el" href="../../da/d9a/class_graph.html">Graph</a> object </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>A vector containing the topological order of nodes </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 95</span> {</div>
<div class="line"><span class="lineno"> 96</span> <span class="keywordtype">int</span> n = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>.getNumNodes();</div>
<div class="line"><span class="lineno"> 97</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; adj = <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">g</a>.getAdjacencyList();</div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> visited(n, 0);</div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack.html">std::stack&lt;int&gt;</a> s;</div>
<div class="line"><span class="lineno"> 100</span> </div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">if</span> (!visited[i]) {</div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_function" href="../../da/d4b/depth__first__search__with__stack_8cpp.html#a5738da9f508f6a9e87f123c9fb6f2ea9">dfs</a>(i, visited, adj, s);</div>
<div class="line"><span class="lineno"> 104</span> }</div>
<div class="line"><span class="lineno"> 105</span> }</div>
<div class="line"><span class="lineno"> 106</span> </div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> ans;</div>
<div class="line"><span class="lineno"> 108</span> <span class="keywordflow">while</span> (!s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack/empty.html">empty</a>()) {</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordtype">int</span> elem = s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack/top.html">top</a>();</div>
<div class="line"><span class="lineno"> 110</span> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/stack/pop.html">pop</a>();</div>
<div class="line"><span class="lineno"> 111</span> ans.push_back(elem);</div>
<div class="line"><span class="lineno"> 112</span> }</div>
<div class="line"><span class="lineno"> 113</span> </div>
<div class="line"><span class="lineno"> 114</span> <span class="keywordflow">if</span> (ans.size() &lt; n) { <span class="comment">// Cycle detected</span></div>
<div class="line"><span class="lineno"> 115</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">&quot;cycle detected in graph&quot;</span>);</div>
<div class="line"><span class="lineno"> 116</span> }</div>
<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">return</span> ans;</div>
<div class="line"><span class="lineno"> 118</span>}</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a2f67508d5f392b0321772169342c98ad"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a2f67508d5f392b0321772169342c98ad">numerical_methods::simpson_method::g</a></div><div class="ttdeci">double g(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> composite_simpson_rule.cpp:115</div></div>
<div class="ttc" id="aempty_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack/empty.html">std::stack::empty</a></div><div class="ttdeci">T empty(T... args)</div></div>
<div class="ttc" id="apop_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack/pop.html">std::stack::pop</a></div><div class="ttdeci">T pop(T... args)</div></div>
<div class="ttc" id="astack_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack.html">std::stack</a></div></div>
<div class="ttc" id="atop_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/stack/top.html">std::stack::top</a></div><div class="ttdeci">T top(T... args)</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d8/db9/topological__sort_8cpp_a54dc5d7914958dbd24dda2fd862dc41b_cgraph.svg" width="327" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
</div>
</div>
</div>
</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_12552d7fa429bf94a2e32e5cf39f7e69.html">graph</a></li><li class="navelem"><a class="el" href="../../d8/db9/topological__sort_8cpp.html">topological_sort.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> 1.12.0 </li>
</ul>
</div>
</body>
</html>
Reference in New Issue View Git Blame Copy Permalink