1 | /* Et-forest data structure implementation. |
2 | Copyright (C) 2002-2024 Free Software Foundation, Inc. |
3 | |
4 | This program is free software; you can redistribute it and/or modify |
5 | it under the terms of the GNU General Public License as published by |
6 | the Free Software Foundation; either version 3 of the License, or |
7 | (at your option) any later version. |
8 | |
9 | This program is distributed in the hope that it will be useful, |
10 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
11 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
12 | GNU General Public License for more details. |
13 | |
14 | You should have received a copy of the GNU General Public License |
15 | along with this program; see the file COPYING3. If not see |
16 | <http://www.gnu.org/licenses/>. */ |
17 | |
18 | /* This package implements ET forest data structure. Each tree in |
19 | the structure maintains a tree structure and offers logarithmic time |
20 | for tree operations (insertion and removal of nodes and edges) and |
21 | poly-logarithmic time for nearest common ancestor. |
22 | |
23 | ET tree stores its structure as a sequence of symbols obtained |
24 | by dfs(root) |
25 | |
26 | dfs (node) |
27 | { |
28 | s = node; |
29 | for each child c of node do |
30 | s = concat (s, c, node); |
31 | return s; |
32 | } |
33 | |
34 | For example for tree |
35 | |
36 | 1 |
37 | / | \ |
38 | 2 3 4 |
39 | / | |
40 | 4 5 |
41 | |
42 | the sequence is 1 2 4 2 5 3 1 3 1 4 1. |
43 | |
44 | The sequence is stored in a slightly modified splay tree. |
45 | In order to support various types of node values, a hashtable |
46 | is used to convert node values to the internal representation. */ |
47 | |
48 | #ifndef _ET_TREE_H |
49 | #define _ET_TREE_H |
50 | |
51 | #ifdef __cplusplus |
52 | extern "C" { |
53 | #endif /* __cplusplus */ |
54 | |
55 | /* The node representing the node in an et tree. */ |
56 | struct et_node |
57 | { |
58 | void *data; /* The data represented by the node. */ |
59 | |
60 | int dfs_num_in, dfs_num_out; /* Number of the node in the dfs ordering. */ |
61 | |
62 | struct et_node *father; /* Father of the node. */ |
63 | struct et_node *son; /* The first of the sons of the node. */ |
64 | struct et_node *left; |
65 | struct et_node *right; /* The brothers of the node. */ |
66 | |
67 | struct et_occ *rightmost_occ; /* The rightmost occurrence. */ |
68 | struct et_occ *parent_occ; /* The occurrence of the parent node. */ |
69 | }; |
70 | |
71 | struct et_node *et_new_tree (void *data); |
72 | void et_free_tree (struct et_node *); |
73 | void et_free_tree_force (struct et_node *); |
74 | void et_free_pools (void); |
75 | void et_set_father (struct et_node *, struct et_node *); |
76 | void et_split (struct et_node *); |
77 | struct et_node *et_nca (struct et_node *, struct et_node *); |
78 | bool et_below (struct et_node *, struct et_node *); |
79 | struct et_node *et_root (struct et_node *); |
80 | |
81 | #ifdef __cplusplus |
82 | } |
83 | #endif /* __cplusplus */ |
84 | |
85 | #endif /* _ET_TREE_H */ |
86 | |