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1 // (C) Copyright Jeremy Siek 2004
2 // Distributed under the Boost Software License, Version 1.0. (See
3 // accompanying file LICENSE_1_0.txt or copy at
4 // http://www.boost.org/LICENSE_1_0.txt)
5
6 #ifndef BOOST_DETAIL_DISJOINT_SETS_HPP
7 #define BOOST_DETAIL_DISJOINT_SETS_HPP
8
9 namespace boost {
10
11 namespace detail {
12
13 template <class ParentPA, class Vertex>
14 Vertex
15 find_representative_with_path_halving(ParentPA p, Vertex v)
16 {
17 Vertex parent = get(p, v);
18 Vertex grandparent = get(p, parent);
19 while (parent != grandparent) {
20 put(p, v, grandparent);
21 v = grandparent;
22 parent = get(p, v);
23 grandparent = get(p, parent);
24 }
25 return parent;
26 }
27
28 template <class ParentPA, class Vertex>
29 Vertex
30 find_representative_with_full_compression(ParentPA parent, Vertex v)
31 {
32 Vertex old = v;
33 Vertex ancestor = get(parent, v);
34 while (ancestor != v) {
35 v = ancestor;
36 ancestor = get(parent, v);
37 }
38 v = get(parent, old);
39 while (ancestor != v) {
40 put(parent, old, ancestor);
41 old = v;
42 v = get(parent, old);
43 }
44 return ancestor;
45 }
46
47 /* the postcondition of link sets is:
48 component_representative(i) == component_representative(j)
49 */
50 template <class ParentPA, class RankPA, class Vertex,
51 class ComponentRepresentative>
52 inline void
53 link_sets(ParentPA p, RankPA rank, Vertex i, Vertex j,
54 ComponentRepresentative comp_rep)
55 {
56 i = comp_rep(p, i);
57 j = comp_rep(p, j);
58 if (i == j) return;
59 if (get(rank, i) > get(rank, j))
60 put(p, j, i);
61 else {
62 put(p, i, j);
63 if (get(rank, i) == get(rank, j))
64 put(rank, j, get(rank, j) + 1);
65 }
66 }
67
68 // normalize components has the following postcondidition:
69 // i >= p[i]
70 // that is, the representative is the node with the smallest index in its class
71 // as its precondition it it assumes that the node container is compressed
72
73 template <class ParentPA, class Vertex>
74 inline void
75 normalize_node(ParentPA p, Vertex i)
76 {
77 if (i > get(p,i) || get(p, get(p,i)) != get(p,i))
78 put(p,i, get(p, get(p,i)));
79 else {
80 put(p, get(p,i), i);
81 put(p, i, i);
82 }
83 }
84
85 } // namespace detail
86 } // namespace boost
87
88 #endif // BOOST_DETAIL_DISJOINT_SETS_HPP