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1 //=======================================================================
2 // Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
3 // Authors: Andrew Lumsdaine, Lie-Quan Lee, Jeremy G. Siek
4 //
5 // Distributed under the Boost Software License, Version 1.0. (See
6 // accompanying file LICENSE_1_0.txt or copy at
7 // http://www.boost.org/LICENSE_1_0.txt)
8 //=======================================================================
9 #ifndef BOOST_GRAPH_DETAIL_CONNECTED_COMPONENTS_HPP
10 #define BOOST_GRAPH_DETAIL_CONNECTED_COMPONENTS_HPP
11
12 #if defined(__sgi) && !defined(__GNUC__)
13 #pragma set woff 1234
14 #endif
15
16 #include <boost/operators.hpp>
17
18 namespace boost {
19
20 namespace detail {
21
22 //=========================================================================
23 // Implementation details of connected_components
24
25 // This is used both in the connected_components algorithm and in
26 // the kosaraju strong components algorithm during the second DFS
27 // traversal.
28 template <class ComponentsPA, class DFSVisitor>
29 class components_recorder : public DFSVisitor
30 {
31 typedef typename property_traits<ComponentsPA>::value_type comp_type;
32 public:
33 components_recorder(ComponentsPA c,
34 comp_type& c_count,
35 DFSVisitor v)
36 : DFSVisitor(v), m_component(c), m_count(c_count) {}
37
38 template <class Vertex, class Graph>
39 void start_vertex(Vertex u, Graph& g) {
40 ++m_count;
41 DFSVisitor::start_vertex(u, g);
42 }
43 template <class Vertex, class Graph>
44 void discover_vertex(Vertex u, Graph& g) {
45 put(m_component, u, m_count);
46 DFSVisitor::discover_vertex(u, g);
47 }
48 protected:
49 ComponentsPA m_component;
50 comp_type& m_count;
51 };
52
53 template <class DiscoverTimeMap, class FinishTimeMap, class TimeT,
54 class DFSVisitor>
55 class time_recorder : public DFSVisitor
56 {
57 public:
58 time_recorder(DiscoverTimeMap d, FinishTimeMap f, TimeT& t, DFSVisitor v)
59 : DFSVisitor(v), m_discover_time(d), m_finish_time(f), m_t(t) {}
60
61 template <class Vertex, class Graph>
62 void discover_vertex(Vertex u, Graph& g) {
63 put(m_discover_time, u, ++m_t);
64 DFSVisitor::discover_vertex(u, g);
65 }
66 template <class Vertex, class Graph>
67 void finish_vertex(Vertex u, Graph& g) {
68 put(m_finish_time, u, ++m_t);
69 DFSVisitor::discover_vertex(u, g);
70 }
71 protected:
72 DiscoverTimeMap m_discover_time;
73 FinishTimeMap m_finish_time;
74 TimeT m_t;
75 };
76 template <class DiscoverTimeMap, class FinishTimeMap, class TimeT,
77 class DFSVisitor>
78 time_recorder<DiscoverTimeMap, FinishTimeMap, TimeT, DFSVisitor>
79 record_times(DiscoverTimeMap d, FinishTimeMap f, TimeT& t, DFSVisitor vis)
80 {
81 return time_recorder<DiscoverTimeMap, FinishTimeMap, TimeT, DFSVisitor>
82 (d, f, t, vis);
83 }
84
85 //=========================================================================
86 // Implementation detail of dynamic_components
87
88
89 //-------------------------------------------------------------------------
90 // Helper functions for the component_index class
91
92 // Record the representative vertices in the header array.
93 // Representative vertices now point to the component number.
94
95 template <class Parent, class OutputIterator, class Integer>
96 inline void
97 build_components_header(Parent p,
98 OutputIterator header,
99 Integer num_nodes)
100 {
101 Parent component = p;
102 Integer component_num = 0;
103 for (Integer v = 0; v != num_nodes; ++v)
104 if (p[v] == v) {
105 *header++ = v;
106 component[v] = component_num++;
107 }
108 }
109
110
111 // Pushes x onto the front of the list. The list is represented in
112 // an array.
113 template <class Next, class T, class V>
114 inline void push_front(Next next, T& head, V x)
115 {
116 T tmp = head;
117 head = x;
118 next[x] = tmp;
119 }
120
121
122 // Create a linked list of the vertices in each component
123 // by reusing the representative array.
124 template <class Parent1, class Parent2,
125 class Integer>
126 void
127 link_components(Parent1 component, Parent2 header,
128 Integer num_nodes, Integer num_components)
129 {
130 // Make the non-representative vertices point to their component
131 Parent1 representative = component;
132 for (Integer v = 0; v != num_nodes; ++v)
133 if (component[v] >= num_components || header[component[v]] != v)
134 component[v] = component[representative[v]];
135
136 // initialize the "head" of the lists to "NULL"
137 std::fill_n(header, num_components, num_nodes);
138
139 // Add each vertex to the linked list for its component
140 Parent1 next = component;
141 for (Integer k = 0; k != num_nodes; ++k)
142 push_front(next, header[component[k]], k);
143 }
144
145
146
147 template <class IndexContainer, class HeaderContainer>
148 void
149 construct_component_index(IndexContainer& index, HeaderContainer& header)
150 {
151 build_components_header(index.begin(),
152 std::back_inserter(header),
153 index.end() - index.begin());
154
155 link_components(index.begin(), header.begin(),
156 index.end() - index.begin(),
157 header.end() - header.begin());
158 }
159
160
161
162 template <class IndexIterator, class Integer, class Distance>
163 class component_iterator
164 : boost::forward_iterator_helper<
165 component_iterator<IndexIterator,Integer,Distance>,
166 Integer, Distance,Integer*, Integer&>
167 {
168 public:
169 typedef component_iterator self;
170
171 IndexIterator next;
172 Integer node;
173
174 typedef std::forward_iterator_tag iterator_category;
175 typedef Integer value_type;
176 typedef Integer& reference;
177 typedef Integer* pointer;
178 typedef Distance difference_type;
179
180 component_iterator() {}
181 component_iterator(IndexIterator x, Integer i)
182 : next(x), node(i) {}
183 Integer operator*() const {
184 return node;
185 }
186 self& operator++() {
187 node = next[node];
188 return *this;
189 }
190 };
191
192 template <class IndexIterator, class Integer, class Distance>
193 inline bool
194 operator==(const component_iterator<IndexIterator, Integer, Distance>& x,
195 const component_iterator<IndexIterator, Integer, Distance>& y)
196 {
197 return x.node == y.node;
198 }
199
200 } // namespace detail
201
202 } // namespace detail
203
204 #if defined(__sgi) && !defined(__GNUC__)
205 #pragma reset woff 1234
206 #endif
207
208 #endif