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+<title>MayaChemTools:Code:Graph::Path.pm</title>
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+<link rel="stylesheet" type="text/css" href="../../../css/MayaChemToolsCode.css">
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+<pre>
+<a name="package-Graph::Path-"></a>   1 <span class="k">package </span><span class="i">Graph::Path</span><span class="sc">;</span>
+   2 <span class="c">#</span>
+   3 <span class="c"># $RCSfile: Path.pm,v $</span>
+   4 <span class="c"># $Date: 2015/02/28 20:49:06 $</span>
+   5 <span class="c"># $Revision: 1.25 $</span>
+   6 <span class="c">#</span>
+   7 <span class="c"># Author: Manish Sud &lt;msud@san.rr.com&gt;</span>
+   8 <span class="c">#</span>
+   9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span>
+  10 <span class="c">#</span>
+  11 <span class="c"># This file is part of MayaChemTools.</span>
+  12 <span class="c">#</span>
+  13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span>
+  14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span>
+  15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span>
+  16 <span class="c"># later version.</span>
+  17 <span class="c">#</span>
+  18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span>
+  19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span>
+  20 <span class="c"># for a particular purpose.  See the GNU Lesser General Public License for more</span>
+  21 <span class="c"># details.</span>
+  22 <span class="c">#</span>
+  23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span>
+  24 <span class="c"># along with MayaChemTools; if not, see &lt;http://www.gnu.org/licenses/&gt; or</span>
+  25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span>
+  26 <span class="c"># Boston, MA, 02111-1307, USA.</span>
+  27 <span class="c">#</span>
+  28 
+  29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span>
+  30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span>
+  31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span>
+  32 <span class="k">use</span> <span class="w">Storable</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  33 <span class="k">use</span> <span class="w">Scalar::Util</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  34 
+  35 <span class="k">use</span> <span class="w">vars</span> <span class="q">qw(@ISA @EXPORT @EXPORT_OK %EXPORT_TAGS)</span><span class="sc">;</span>
+  36 
+  37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span>
+  38 <span class="i">@EXPORT</span> = <span class="q">qw()</span><span class="sc">;</span>
+  39 <span class="i">@EXPORT_OK</span> = <span class="q">qw()</span><span class="sc">;</span>
+  40 
+  41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span><span class="w">all</span>  <span class="cm">=&gt;</span> <span class="s">[</span><span class="i">@EXPORT</span><span class="cm">,</span> <span class="i">@EXPORT_OK</span><span class="s">]</span><span class="s">)</span><span class="sc">;</span>
+  42 
+  43 <span class="c"># Setup class variables...</span>
+  44 <span class="k">my</span><span class="s">(</span><span class="i">$ClassName</span><span class="cm">,</span> <span class="i">$ObjectID</span><span class="s">)</span><span class="sc">;</span>
+  45 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  46 
+  47 <span class="c"># Overload Perl functions...</span>
+  48 <span class="k">use</span> <span class="w">overload</span> <span class="q">&#39;&quot;&quot;&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;StringifyPath&#39;</span><span class="cm">,</span>
+  49 
+  50   <span class="q">&#39;==&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;_PathEqualOperator&#39;</span><span class="cm">,</span>
+  51   <span class="q">&#39;eq&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;_PathEqualOperator&#39;</span><span class="cm">,</span>
+  52 
+  53   <span class="q">&#39;fallback&#39;</span> <span class="cm">=&gt;</span> <span class="k">undef</span><span class="sc">;</span>
+  54 
+  55 <span class="c"># Class constructor...</span>
+<a name="new-"></a>  56 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span>
+  57   <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  58 
+  59   <span class="c"># Initialize object...</span>
+  60   <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span>
+  61   <span class="k">bless</span> <span class="i">$This</span><span class="cm">,</span> <span class="k">ref</span><span class="s">(</span><span class="i">$Class</span><span class="s">)</span> || <span class="i">$Class</span><span class="sc">;</span>
+  62   <span class="i">$This</span><span class="i">-&gt;_InitializePath</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  63 
+  64   <span class="k">if</span> <span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span> <span class="s">{</span> <span class="i">$This</span><span class="i">-&gt;AddVertices</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span> <span class="s">}</span>
+  65 
+  66   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+  67 <span class="s">}</span>
+  68 
+  69 <span class="c"># Initialize object data...</span>
+  70 <span class="c">#</span>
+<a name="_InitializePath-"></a>  71 <span class="k">sub </span><span class="m">_InitializePath</span> <span class="s">{</span>
+  72   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  73 
+  74   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  75 <span class="s">}</span>
+  76 
+  77 <span class="c"># Initialize class ...</span>
+<a name="_InitializeClass-"></a>  78 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span>
+  79   <span class="c">#Class name...</span>
+  80   <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span>
+  81 <span class="s">}</span>
+  82 
+  83 <span class="c"># Add a vertex to path after the end vertex...</span>
+  84 <span class="c">#</span>
+<a name="AddVertex-"></a>  85 <span class="k">sub </span><span class="m">AddVertex</span> <span class="s">{</span>
+  86   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  87 
+  88   <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$VertexID</span> <span class="s">)</span> <span class="s">{</span>
+  89     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;AddVertex: No vertex added: Vertex ID must be specified...&quot;</span><span class="sc">;</span>
+  90     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+  91   <span class="s">}</span>
+  92   <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
+  93 
+  94   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+  95 <span class="s">}</span>
+  96 
+  97 <span class="c"># Add vertices to the path after the end vertex...</span>
+  98 <span class="c">#</span>
+<a name="AddVertices-"></a>  99 <span class="k">sub </span><span class="m">AddVertices</span> <span class="s">{</span>
+ 100   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 101 
+ 102   <span class="k">if</span> <span class="s">(</span>!<span class="i">@VertexIDs</span><span class="s">)</span> <span class="s">{</span>
+ 103     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;AddVertices: No vertices added: Vertices list is empty...&quot;</span><span class="sc">;</span>
+ 104     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 105   <span class="s">}</span>
+ 106   <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">@VertexIDs</span><span class="sc">;</span>
+ 107 
+ 108   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 109 <span class="s">}</span>
+ 110 
+ 111 <span class="c"># Add a vertex to path after the end vertex...</span>
+ 112 <span class="c">#</span>
+<a name="PushVertex-"></a> 113 <span class="k">sub </span><span class="m">PushVertex</span> <span class="s">{</span>
+ 114   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 115 
+ 116   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;AddVertex</span><span class="s">(</span><span class="i">$VertexID</span><span class="s">)</span><span class="sc">;</span>
+ 117 <span class="s">}</span>
+ 118 
+ 119 <span class="c"># Add vertices to the path after the end vertex...</span>
+ 120 <span class="c">#</span>
+<a name="PushVertices-"></a> 121 <span class="k">sub </span><span class="m">PushVertices</span> <span class="s">{</span>
+ 122   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 123 
+ 124   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;AddVertices</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
+ 125 <span class="s">}</span>
+ 126 
+ 127 <span class="c"># Remove end vertex from path...</span>
+ 128 <span class="c">#</span>
+<a name="PopVertex-"></a> 129 <span class="k">sub </span><span class="m">PopVertex</span> <span class="s">{</span>
+ 130   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 131 
+ 132   <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
+ 133     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;PopVertex: No vertex removed: Path is empty...&quot;</span><span class="sc">;</span>
+ 134     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 135   <span class="s">}</span>
+ 136   <span class="k">pop</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 137 
+ 138   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 139 <span class="s">}</span>
+ 140 
+ 141 <span class="c"># Remove start vertex from path...</span>
+ 142 <span class="c">#</span>
+<a name="ShiftVertex-"></a> 143 <span class="k">sub </span><span class="m">ShiftVertex</span> <span class="s">{</span>
+ 144   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 145 
+ 146   <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span> <span class="s">{</span>
+ 147     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;ShiftVertex: No vertex removed: Path is empty...&quot;</span><span class="sc">;</span>
+ 148     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 149   <span class="s">}</span>
+ 150   <span class="k">shift</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 151 
+ 152   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 153 <span class="s">}</span>
+ 154 
+ 155 <span class="c"># Add a vertex to path before the start vertex...</span>
+ 156 <span class="c">#</span>
+<a name="UnshiftVertex-"></a> 157 <span class="k">sub </span><span class="m">UnshiftVertex</span> <span class="s">{</span>
+ 158   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$VertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 159 
+ 160   <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$VertexID</span> <span class="s">)</span> <span class="s">{</span>
+ 161     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;UnshiftVertex: No vertex added: Vertex ID must be specified...&quot;</span><span class="sc">;</span>
+ 162     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 163   <span class="s">}</span>
+ 164   <span class="k">unshift</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">$VertexID</span><span class="sc">;</span>
+ 165 
+ 166   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 167 <span class="s">}</span>
+ 168 
+ 169 <span class="c"># Add vertices to the path before the start vertex...</span>
+ 170 <span class="c">#</span>
+<a name="UnshiftVertices-"></a> 171 <span class="k">sub </span><span class="m">UnshiftVertices</span> <span class="s">{</span>
+ 172   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@VertexIDs</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 173 
+ 174   <span class="k">if</span> <span class="s">(</span>!<span class="i">@VertexIDs</span><span class="s">)</span> <span class="s">{</span>
+ 175     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;UnshiftVertices: No vertices added: Vertices list is empty...&quot;</span><span class="sc">;</span>
+ 176     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 177   <span class="s">}</span>
+ 178   <span class="k">unshift</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">@VertexIDs</span><span class="sc">;</span>
+ 179 
+ 180   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 181 <span class="s">}</span>
+ 182 
+ 183 <span class="c"># Get length...</span>
+ 184 <span class="c">#</span>
+<a name="GetLength-"></a> 185 <span class="k">sub </span><span class="m">GetLength</span> <span class="s">{</span>
+ 186   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 187 
+ 188   <span class="k">return</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 189 <span class="s">}</span>
+ 190 
+ 191 <span class="c"># Get start vertex...</span>
+ 192 <span class="c">#</span>
+<a name="GetStartVertex-"></a> 193 <span class="k">sub </span><span class="m">GetStartVertex</span> <span class="s">{</span>
+ 194   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 195 
+ 196   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 197     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 198   <span class="s">}</span>
+ 199   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span> = <span class="n">0</span><span class="sc">;</span>
+ 200   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetVertex</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span><span class="sc">;</span>
+ 201 <span class="s">}</span>
+ 202 
+ 203 <span class="c"># Get end vertex...</span>
+ 204 <span class="c">#</span>
+<a name="GetEndVertex-"></a> 205 <span class="k">sub </span><span class="m">GetEndVertex</span> <span class="s">{</span>
+ 206   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 207 
+ 208   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 209     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 210   <span class="s">}</span>
+ 211   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span><span class="sc">;</span>
+ 212 
+ 213   <span class="i">$Index</span> = <span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> - <span class="n">1</span><span class="sc">;</span>
+ 214   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetVertex</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span><span class="sc">;</span>
+ 215 <span class="s">}</span>
+ 216 
+ 217 <span class="c"># Get start and end vertices...</span>
+ 218 <span class="c">#</span>
+<a name="GetTerminalVertices-"></a> 219 <span class="k">sub </span><span class="m">GetTerminalVertices</span> <span class="s">{</span>
+ 220   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 221 
+ 222   <span class="k">return</span> <span class="s">(</span> <span class="i">$This</span><span class="i">-&gt;GetStartVertex</span><span class="s">(</span><span class="s">)</span><span class="cm">,</span> <span class="i">$This</span><span class="i">-&gt;GetEndVertex</span><span class="s">(</span><span class="s">)</span> <span class="s">)</span><span class="cm">,</span>
+ 223 <span class="s">}</span>
+ 224 
+ 225 <span class="c"># Get path vertices...</span>
+ 226 <span class="c">#</span>
+<a name="GetVertices-"></a> 227 <span class="k">sub </span><span class="m">GetVertices</span> <span class="s">{</span>
+ 228   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 229 
+ 230   <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} <span class="co">:</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 231 <span class="s">}</span>
+ 232 
+ 233 <span class="c"># Get a specific vertex from path with indicies starting from 0...</span>
+ 234 <span class="c">#</span>
+<a name="GetVertex-"></a> 235 <span class="k">sub </span><span class="m">GetVertex</span> <span class="s">{</span>
+ 236   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 237 
+ 238   <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
+ 239     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;GetValue: Index value must be a positive number...&quot;</span><span class="sc">;</span>
+ 240   <span class="s">}</span>
+ 241   <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> &gt;= <span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 242     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;GetValue: Index vaue must be less than length of path...&quot;</span><span class="sc">;</span>
+ 243   <span class="s">}</span>
+ 244   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 245     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 246   <span class="s">}</span>
+ 247   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GetVertex</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span><span class="sc">;</span>
+ 248 <span class="s">}</span>
+ 249 
+ 250 <span class="c"># Get a vertex...</span>
+ 251 <span class="c">#</span>
+<a name="_GetVertex-"></a> 252 <span class="k">sub </span><span class="m">_GetVertex</span> <span class="s">{</span>
+ 253   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 254 
+ 255   <span class="k">return</span> <span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}[<span class="i">$Index</span>]<span class="sc">;</span>
+ 256 <span class="s">}</span>
+ 257 
+ 258 <span class="c"># Get path edges as pair of vertices or number of edges...</span>
+ 259 <span class="c">#</span>
+<a name="GetEdges-"></a> 260 <span class="k">sub </span><span class="m">GetEdges</span> <span class="s">{</span>
+ 261   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 262 
+ 263   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetLength</span> &lt; <span class="n">1</span><span class="s">)</span> <span class="s">{</span>
+ 264     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 265   <span class="s">}</span>
+ 266   <span class="c"># Set up edges...</span>
+ 267   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$VertexID1</span><span class="cm">,</span> <span class="i">$VertexID2</span><span class="cm">,</span> <span class="i">@Vertices</span><span class="cm">,</span> <span class="i">@Edges</span><span class="s">)</span><span class="sc">;</span>
+ 268 
+ 269   <span class="i">@Edges</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 270   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$#</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} - <span class="n">1</span><span class="s">)</span> <span class="s">)</span> <span class="s">{</span>
+ 271     <span class="i">$VertexID1</span> = <span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}[<span class="i">$Index</span>]<span class="sc">;</span>
+ 272     <span class="i">$VertexID2</span> = <span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}[<span class="i">$Index</span> + <span class="n">1</span>]<span class="sc">;</span>
+ 273     <span class="k">push</span> <span class="i">@Edges</span><span class="cm">,</span> <span class="s">(</span><span class="i">$VertexID1</span><span class="cm">,</span> <span class="i">$VertexID2</span><span class="s">)</span><span class="sc">;</span>
+ 274   <span class="s">}</span>
+ 275 
+ 276   <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@Edges</span> <span class="co">:</span> <span class="s">(</span><span class="s">(</span><span class="k">scalar</span> <span class="i">@Edges</span><span class="s">)</span>/<span class="n">2</span><span class="s">)</span><span class="sc">;</span>
+ 277 <span class="s">}</span>
+ 278 
+ 279 <span class="c"># Is it a cycle?</span>
+ 280 <span class="c">#</span>
+<a name="IsCycle-"></a> 281 <span class="k">sub </span><span class="m">IsCycle</span> <span class="s">{</span>
+ 282   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 283   <span class="k">my</span><span class="s">(</span><span class="i">$StartVertex</span><span class="cm">,</span> <span class="i">$EndVertex</span><span class="s">)</span><span class="sc">;</span>
+ 284 
+ 285   <span class="s">(</span><span class="i">$StartVertex</span><span class="cm">,</span> <span class="i">$EndVertex</span><span class="s">)</span> = <span class="i">$This</span><span class="i">-&gt;GetTerminalVertices</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 286 
+ 287   <span class="k">return</span> <span class="s">(</span><span class="i">$StartVertex</span> == <span class="i">$EndVertex</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span>
+ 288 <span class="s">}</span>
+ 289 
+ 290 <span class="c"># For a path to be an independent path, it must meet the following conditions:</span>
+ 291 <span class="c">#   . All other vertices are unique.</span>
+ 292 <span class="c">#</span>
+<a name="IsIndependentPath-"></a> 293 <span class="k">sub </span><span class="m">IsIndependentPath</span> <span class="s">{</span>
+ 294   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 295 
+ 296   <span class="c"># Make sure it has at least two vertices...</span>
+ 297   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> &lt; <span class="n">2</span><span class="s">)</span> <span class="s">{</span>
+ 298     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
+ 299   <span class="s">}</span>
+ 300 
+ 301   <span class="c"># Check frequency of occurence for non-terminal vertices...</span>
+ 302   <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">$IndependenceStatus</span><span class="cm">,</span> <span class="i">@Vertices</span><span class="cm">,</span> <span class="i">%VerticesMap</span><span class="s">)</span><span class="sc">;</span>
+ 303 
+ 304   <span class="i">@Vertices</span> = <span class="i">$This</span><span class="i">-&gt;GetVertices</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 305   <span class="k">shift</span> <span class="i">@Vertices</span><span class="sc">;</span> <span class="k">pop</span> <span class="i">@Vertices</span><span class="sc">;</span>
+ 306 
+ 307   <span class="i">%VerticesMap</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 308   <span class="i">$IndependenceStatus</span> = <span class="n">1</span><span class="sc">;</span>
+ 309 
+ 310   <span class="j">VERTEXID:</span> <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">@Vertices</span><span class="s">)</span> <span class="s">{</span>
+ 311     <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$VerticesMap</span>{<span class="i">$VertexID</span>} <span class="s">)</span> <span class="s">{</span>
+ 312       <span class="i">$IndependenceStatus</span> = <span class="n">0</span><span class="sc">;</span>
+ 313       <span class="k">last</span> <span class="j">VERTEXID</span><span class="sc">;</span>
+ 314     <span class="s">}</span>
+ 315     <span class="i">$VerticesMap</span>{<span class="i">$VertexID</span>} = <span class="i">$VertexID</span><span class="sc">;</span>
+ 316   <span class="s">}</span>
+ 317   <span class="k">return</span> <span class="i">$IndependenceStatus</span><span class="sc">;</span>
+ 318 <span class="s">}</span>
+ 319 
+ 320 <span class="c"># For a path to be an independent cyclic path, it must meet the following conditions:</span>
+ 321 <span class="c">#   . Termimal vertices are the same</span>
+ 322 <span class="c">#   . All other vertices are unique.</span>
+ 323 <span class="c">#</span>
+<a name="IsIndependentCyclicPath-"></a> 324 <span class="k">sub </span><span class="m">IsIndependentCyclicPath</span> <span class="s">{</span>
+ 325   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 326 
+ 327   <span class="c"># Make sure it&#39;s a cycle...</span>
+ 328   <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> &gt;= <span class="n">3</span> &amp;&amp; <span class="i">$This</span><span class="i">-&gt;IsCycle</span><span class="s">(</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 329     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
+ 330   <span class="s">}</span>
+ 331   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;IsIndependentPath</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 332 <span class="s">}</span>
+ 333 
+ 334 <span class="c"># Is it a path object?</span>
+<a name="IsPath-"></a> 335 <span class="k">sub </span><span class="m">IsPath ($)</span> <span class="s">{</span>
+ 336   <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 337 
+ 338   <span class="k">return</span> <span class="i">_IsPath</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span><span class="sc">;</span>
+ 339 <span class="s">}</span>
+ 340 
+ 341 <span class="c"># Copy path...</span>
+ 342 <span class="c">#</span>
+<a name="Copy-"></a> 343 <span class="k">sub </span><span class="m">Copy</span> <span class="s">{</span>
+ 344   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 345   <span class="k">my</span><span class="s">(</span><span class="i">$NewPath</span><span class="s">)</span><span class="sc">;</span>
+ 346 
+ 347   <span class="i">$NewPath</span> = <span class="i">Storable::dclone</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span><span class="sc">;</span>
+ 348 
+ 349   <span class="k">return</span> <span class="i">$NewPath</span><span class="sc">;</span>
+ 350 <span class="s">}</span>
+ 351 
+ 352 <span class="c"># Reverse order of vertices in path...</span>
+ 353 <span class="c">#</span>
+<a name="Reverse-"></a> 354 <span class="k">sub </span><span class="m">Reverse</span> <span class="s">{</span>
+ 355   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 356   <span class="k">my</span><span class="s">(</span><span class="i">@VertexIDs</span><span class="s">)</span><span class="sc">;</span>
+ 357 
+ 358   <span class="i">@VertexIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="k">push</span> <span class="i">@VertexIDs</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 359 
+ 360   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="k">reverse</span> <span class="i">@VertexIDs</span><span class="sc">;</span>
+ 361 
+ 362   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
+ 363 <span class="s">}</span>
+ 364 
+ 365 <span class="c"># Get vertices common between two paths...</span>
+ 366 <span class="c">#</span>
+<a name="GetCommonVertices-"></a> 367 <span class="k">sub </span><span class="m">GetCommonVertices</span> <span class="s">{</span>
+ 368   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 369   <span class="k">my</span><span class="s">(</span><span class="i">$VertexID</span><span class="cm">,</span> <span class="i">@CommonVertices</span><span class="cm">,</span> <span class="i">%OtherVerticesMap</span><span class="s">)</span><span class="sc">;</span>
+ 370 
+ 371   <span class="c"># Setup a vertices hash for a quick look up...</span>
+ 372   <span class="i">%OtherVerticesMap</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 373   <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">$Other</span><span class="i">-&gt;GetVertices</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 374     <span class="i">$OtherVerticesMap</span>{<span class="i">$VertexID</span>} = <span class="i">$VertexID</span><span class="sc">;</span>
+ 375   <span class="s">}</span>
+ 376 
+ 377   <span class="i">@CommonVertices</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 378   <span class="k">for</span> <span class="i">$VertexID</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetVertices</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 379     <span class="k">if</span> <span class="s">(</span><span class="i">$OtherVerticesMap</span>{<span class="i">$VertexID</span>}<span class="s">)</span> <span class="s">{</span>
+ 380       <span class="k">push</span> <span class="i">@CommonVertices</span><span class="cm">,</span> <span class="i">$VertexID</span>
+ 381     <span class="s">}</span>
+ 382   <span class="s">}</span>
+ 383   <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@CommonVertices</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@CommonVertices</span><span class="sc">;</span>
+ 384 <span class="s">}</span>
+ 385 
+ 386 <span class="c"># Join the existing path with a new path specifed using a path object of a list of</span>
+ 387 <span class="c"># verticies.</span>
+ 388 <span class="c">#</span>
+<a name="Join-"></a> 389 <span class="k">sub </span><span class="m">Join</span> <span class="s">{</span>
+ 390   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 391 
+ 392   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_Join</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span>
+ 393 <span class="s">}</span>
+ 394 
+ 395 <span class="c"># Join the existing path with a new path specifed using a path object at a specified</span>
+ 396 <span class="c"># vertex.</span>
+ 397 <span class="c">#</span>
+<a name="JoinAtVertex-"></a> 398 <span class="k">sub </span><span class="m">JoinAtVertex</span> <span class="s">{</span>
+ 399   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$CenterVertexID</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 400 
+ 401   <span class="c"># Make sure CenterVertexID is end vertex in This and start vertex in Other before</span>
+ 402   <span class="c"># joining them...</span>
+ 403   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetEndVertex</span><span class="s">(</span><span class="s">)</span> != <span class="i">$CenterVertexID</span><span class="s">)</span> <span class="s">{</span>
+ 404     <span class="i">$This</span><span class="i">-&gt;Reverse</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 405   <span class="s">}</span>
+ 406   <span class="k">if</span> <span class="s">(</span><span class="i">$Other</span><span class="i">-&gt;GetStartVertex</span><span class="s">(</span><span class="s">)</span> != <span class="i">$CenterVertexID</span><span class="s">)</span> <span class="s">{</span>
+ 407     <span class="i">$Other</span><span class="i">-&gt;Reverse</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 408   <span class="s">}</span>
+ 409   <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_Join</span><span class="s">(</span><span class="i">$Other</span><span class="s">)</span><span class="sc">;</span>
+ 410 <span class="s">}</span>
+ 411 
+ 412 <span class="c"># Join the existing path with a new path specifed using a path object of a list of</span>
+ 413 <span class="c"># verticies.</span>
+ 414 <span class="c">#</span>
+ 415 <span class="c"># Notes:</span>
+ 416 <span class="c">#  . Paths must have a common terminal vertex.</span>
+ 417 <span class="c">#  . Based on the common terminal vertex found, new path vertices are added to the</span>
+ 418 <span class="c">#    current path in one of the four ways:</span>
+ 419 <span class="c">#    . New path at end of current path with same vertices order : EndVertex = NewStartVertex</span>
+ 420 <span class="c">#    . New path at end of current path with reversed vertices order: EndVertex = NewEndVertex</span>
+ 421 <span class="c">#    . New path at front of current path with same vertices order: StartVertex = NewEndVertex</span>
+ 422 <span class="c">#    . New path at front of current path with reversed vertices order: StartVertex = NewStartVertex</span>
+ 423 <span class="c">#</span>
+<a name="_Join-"></a> 424 <span class="k">sub </span><span class="m">_Join</span> <span class="s">{</span>
+ 425   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 426 
+ 427   <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span>
+ 428     <span class="k">return</span><span class="sc">;</span>
+ 429   <span class="s">}</span>
+ 430 
+ 431   <span class="c"># Get a list of new vertex IDs..</span>
+ 432   <span class="k">my</span><span class="s">(</span><span class="i">$NewPath</span><span class="cm">,</span> <span class="i">$FirstValue</span><span class="cm">,</span> <span class="i">$TypeOfFirstValue</span><span class="cm">,</span> <span class="i">@NewVertexIDs</span><span class="s">)</span><span class="sc">;</span>
+ 433 
+ 434   <span class="i">$NewPath</span> = <span class="i">$This</span><span class="i">-&gt;Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 435 
+ 436   <span class="i">@NewVertexIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 437   <span class="i">$FirstValue</span> = <span class="i">$Values</span>[<span class="n">0</span>]<span class="sc">;</span>
+ 438   <span class="i">$TypeOfFirstValue</span> = <span class="k">ref</span> <span class="i">$FirstValue</span><span class="sc">;</span>
+ 439   <span class="k">if</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^(SCALAR|HASH|CODE|REF|GLOB)/</span><span class="s">)</span> <span class="s">{</span>
+ 440     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;JoinPath: Trying to add vertices to path object with a reference to unsupported value format...&quot;</span><span class="sc">;</span>
+ 441   <span class="s">}</span>
+ 442 
+ 443   <span class="k">if</span> <span class="s">(</span><span class="i">_IsPath</span><span class="s">(</span><span class="i">$FirstValue</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 444     <span class="c"># It&#39;s another path object...</span>
+ 445     <span class="k">push</span> <span class="i">@NewVertexIDs</span><span class="cm">,</span>  <span class="i">@</span>{<span class="i">$FirstValue</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 446   <span class="s">}</span>
+ 447   <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span>
+ 448     <span class="c"># It&#39;s array reference...</span>
+ 449     <span class="k">push</span> <span class="i">@NewVertexIDs</span><span class="cm">,</span>  <span class="i">@</span>{<span class="i">$FirstValue</span>}<span class="sc">;</span>
+ 450   <span class="s">}</span>
+ 451   <span class="k">else</span> <span class="s">{</span>
+ 452     <span class="c"># It&#39;s a list of values...</span>
+ 453     <span class="k">push</span> <span class="i">@NewVertexIDs</span><span class="cm">,</span>  <span class="i">@Values</span><span class="sc">;</span>
+ 454   <span class="s">}</span>
+ 455   <span class="k">my</span><span class="s">(</span><span class="i">$StartVertex</span><span class="cm">,</span> <span class="i">$EndVertex</span><span class="cm">,</span> <span class="i">$NewStartVertex</span><span class="cm">,</span> <span class="i">$NewEndVertex</span><span class="s">)</span><span class="sc">;</span>
+ 456 
+ 457   <span class="s">(</span><span class="i">$StartVertex</span><span class="cm">,</span> <span class="i">$EndVertex</span><span class="s">)</span> = <span class="i">$NewPath</span><span class="i">-&gt;GetTerminalVertices</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+ 458   <span class="s">(</span><span class="i">$NewStartVertex</span><span class="cm">,</span> <span class="i">$NewEndVertex</span><span class="s">)</span> = <span class="s">(</span><span class="i">$NewVertexIDs</span>[<span class="n">0</span>]<span class="cm">,</span> <span class="i">$NewVertexIDs</span>[<span class="i">$#NewVertexIDs</span>]<span class="s">)</span><span class="sc">;</span>
+ 459 
+ 460   <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$EndVertex</span> == <span class="i">$NewStartVertex</span> || <span class="i">$EndVertex</span> == <span class="i">$NewEndVertex</span> || <span class="i">$StartVertex</span> == <span class="i">$NewEndVertex</span> || <span class="i">$StartVertex</span> == <span class="i">$NewStartVertex</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 461     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;JoinPath: Paths can&#39;t be joined: No common terminal vertex found...&quot;</span><span class="sc">;</span>
+ 462     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
+ 463   <span class="s">}</span>
+ 464 
+ 465   <span class="k">if</span> <span class="s">(</span><span class="i">$EndVertex</span> == <span class="i">$NewStartVertex</span><span class="s">)</span> <span class="s">{</span>
+ 466     <span class="c"># Take out EndVertex and add new path at the end...</span>
+ 467     <span class="k">pop</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 468     <span class="k">push</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 469   <span class="s">}</span>
+ 470   <span class="k">elsif</span> <span class="s">(</span><span class="i">$EndVertex</span> == <span class="i">$NewEndVertex</span><span class="s">)</span> <span class="s">{</span>
+ 471     <span class="c"># Take out EndVertex and add new path at the end with reversed vertex order...</span>
+ 472     <span class="k">pop</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="sc">;</span>
+ 473     <span class="k">push</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="k">reverse</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 474   <span class="s">}</span>
+ 475   <span class="k">elsif</span> <span class="s">(</span><span class="i">$StartVertex</span> == <span class="i">$NewEndVertex</span><span class="s">)</span> <span class="s">{</span>
+ 476     <span class="c"># Take out NewEndVertex and add new path at the front...</span>
+ 477     <span class="k">pop</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 478     <span class="k">unshift</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 479   <span class="s">}</span>
+ 480   <span class="k">elsif</span> <span class="s">(</span><span class="i">$StartVertex</span> == <span class="i">$NewStartVertex</span><span class="s">)</span> <span class="s">{</span>
+ 481     <span class="c"># Take out NewStartVertex and add new path at the front...</span>
+ 482     <span class="k">shift</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 483     <span class="k">unshift</span> <span class="i">@</span>{<span class="i">$NewPath</span>-&gt;{<span class="w">Vertices</span>}}<span class="cm">,</span> <span class="k">reverse</span> <span class="i">@NewVertexIDs</span><span class="sc">;</span>
+ 484   <span class="s">}</span>
+ 485 
+ 486   <span class="k">return</span> <span class="i">$NewPath</span><span class="cm">,</span>
+ 487 <span class="s">}</span>
+ 488 
+ 489 <span class="c"># Compare two paths...</span>
+ 490 <span class="c">#</span>
+<a name="_PathEqualOperator-"></a> 491 <span class="k">sub </span><span class="m">_PathEqualOperator</span> <span class="s">{</span>
+ 492   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 493 
+ 494   <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> &amp;&amp; <span class="i">_IsPath</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> &amp;&amp; <span class="k">defined</span><span class="s">(</span><span class="i">$Other</span><span class="s">)</span> &amp;&amp; <span class="i">_IsPath</span><span class="s">(</span><span class="i">$Other</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 495     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;_PathEqualOperator: Path equal comparison failed: Both object must be paths...&quot;</span><span class="sc">;</span>
+ 496   <span class="s">}</span>
+ 497 
+ 498   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span> != <span class="i">$Other</span><span class="i">-&gt;GetLength</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 499     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
+ 500   <span class="s">}</span>
+ 501   <span class="k">my</span><span class="s">(</span><span class="i">$ThisID</span><span class="cm">,</span> <span class="i">$OtherID</span><span class="cm">,</span> <span class="i">$ReverseOtherID</span><span class="s">)</span><span class="sc">;</span>
+ 502 
+ 503   <span class="i">$ThisID</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span><span class="sc">;</span>
+ 504   <span class="i">$OtherID</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$Other</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span><span class="sc">;</span>
+ 505   <span class="i">$ReverseOtherID</span> = <span class="k">join</span><span class="s">(</span><span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="k">reverse</span><span class="s">(</span><span class="i">@</span>{<span class="i">$Other</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span><span class="s">)</span><span class="sc">;</span>
+ 506 
+ 507   <span class="k">return</span> <span class="s">(</span><span class="i">$ThisID</span> =~ <span class="q">/^($OtherID|$ReverseOtherID)$/</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span>
+ 508 <span class="s">}</span>
+ 509 
+ 510 <span class="c"># Return a string containing vertices in the path...</span>
+<a name="StringifyPath-"></a> 511 <span class="k">sub </span><span class="m">StringifyPath</span> <span class="s">{</span>
+ 512   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 513   <span class="k">my</span><span class="s">(</span><span class="i">$PathString</span><span class="s">)</span><span class="sc">;</span>
+ 514 
+ 515   <span class="i">$PathString</span> = <span class="q">&quot;Path: &quot;</span> . <span class="k">join</span><span class="s">(</span><span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Vertices</span>}}<span class="s">)</span><span class="sc">;</span>
+ 516 
+ 517   <span class="k">return</span> <span class="i">$PathString</span><span class="sc">;</span>
+ 518 <span class="s">}</span>
+ 519 
+ 520 <span class="c"># Is it a path object?</span>
+<a name="_IsPath-"></a> 521 <span class="k">sub </span><span class="m">_IsPath</span> <span class="s">{</span>
+ 522   <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 523 
+ 524   <span class="k">return</span> <span class="s">(</span><span class="i">Scalar::Util::blessed</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> &amp;&amp; <span class="i">$Object</span><span class="i">-&gt;isa</span><span class="s">(</span><span class="i">$ClassName</span><span class="s">)</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span>
+ 525 <span class="s">}</span>
+ 526 
+<a name="EOF-"></a></pre>
+<p>&nbsp;</p>
+<br />
+<center>
+<img src="../../../images/h2o2.png">
+</center>
+</body>
+</html>