/* Et-forest data structure implementation.
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/* Et-forest data structure implementation.
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Copyright (C) 2002, 2003, 2004, 2005, 2007 Free Software Foundation, Inc.
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Copyright (C) 2002, 2003, 2004, 2005, 2007 Free Software Foundation, Inc.
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This program is free software; you can redistribute it and/or modify
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3 of the License, or
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the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version.
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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You should have received a copy of the GNU General Public License
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along with this program; see the file COPYING3. If not see
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along with this program; see the file COPYING3. If not see
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<http://www.gnu.org/licenses/>. */
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<http://www.gnu.org/licenses/>. */
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/* This package implements ET forest data structure. Each tree in
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/* This package implements ET forest data structure. Each tree in
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the structure maintains a tree structure and offers logarithmic time
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the structure maintains a tree structure and offers logarithmic time
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for tree operations (insertion and removal of nodes and edges) and
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for tree operations (insertion and removal of nodes and edges) and
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poly-logarithmic time for nearest common ancestor.
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poly-logarithmic time for nearest common ancestor.
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ET tree stores its structure as a sequence of symbols obtained
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ET tree stores its structure as a sequence of symbols obtained
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by dfs(root)
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by dfs(root)
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dfs (node)
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dfs (node)
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{
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{
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s = node;
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s = node;
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for each child c of node do
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for each child c of node do
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s = concat (s, c, node);
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s = concat (s, c, node);
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return s;
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return s;
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}
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}
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For example for tree
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For example for tree
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1
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1
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/ | \
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/ | \
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2 3 4
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2 3 4
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/ |
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/ |
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4 5
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4 5
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the sequence is 1 2 4 2 5 3 1 3 1 4 1.
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the sequence is 1 2 4 2 5 3 1 3 1 4 1.
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The sequence is stored in a slightly modified splay tree.
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The sequence is stored in a slightly modified splay tree.
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In order to support various types of node values, a hashtable
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In order to support various types of node values, a hashtable
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is used to convert node values to the internal representation. */
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is used to convert node values to the internal representation. */
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#ifndef _ET_TREE_H
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#ifndef _ET_TREE_H
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#define _ET_TREE_H
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#define _ET_TREE_H
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#include <ansidecl.h>
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#include <ansidecl.h>
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#include <stddef.h>
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#include <stddef.h>
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#ifdef __cplusplus
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#ifdef __cplusplus
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extern "C" {
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extern "C" {
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#endif /* __cplusplus */
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#endif /* __cplusplus */
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/* The node representing the node in an et tree. */
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/* The node representing the node in an et tree. */
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struct et_node
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struct et_node
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{
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{
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void *data; /* The data represented by the node. */
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void *data; /* The data represented by the node. */
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int dfs_num_in, dfs_num_out; /* Number of the node in the dfs ordering. */
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int dfs_num_in, dfs_num_out; /* Number of the node in the dfs ordering. */
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struct et_node *father; /* Father of the node. */
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struct et_node *father; /* Father of the node. */
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struct et_node *son; /* The first of the sons of the node. */
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struct et_node *son; /* The first of the sons of the node. */
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struct et_node *left;
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struct et_node *left;
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struct et_node *right; /* The brothers of the node. */
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struct et_node *right; /* The brothers of the node. */
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struct et_occ *rightmost_occ; /* The rightmost occurrence. */
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struct et_occ *rightmost_occ; /* The rightmost occurrence. */
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struct et_occ *parent_occ; /* The occurrence of the parent node. */
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struct et_occ *parent_occ; /* The occurrence of the parent node. */
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};
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};
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struct et_node *et_new_tree (void *data);
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struct et_node *et_new_tree (void *data);
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void et_free_tree (struct et_node *);
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void et_free_tree (struct et_node *);
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void et_free_tree_force (struct et_node *);
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void et_free_tree_force (struct et_node *);
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void et_free_pools (void);
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void et_free_pools (void);
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void et_set_father (struct et_node *, struct et_node *);
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void et_set_father (struct et_node *, struct et_node *);
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void et_split (struct et_node *);
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void et_split (struct et_node *);
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struct et_node *et_nca (struct et_node *, struct et_node *);
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struct et_node *et_nca (struct et_node *, struct et_node *);
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bool et_below (struct et_node *, struct et_node *);
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bool et_below (struct et_node *, struct et_node *);
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struct et_node *et_root (struct et_node *);
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struct et_node *et_root (struct et_node *);
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#ifdef __cplusplus
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#ifdef __cplusplus
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}
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}
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#endif /* __cplusplus */
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#endif /* __cplusplus */
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#endif /* _ET_TREE_H */
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#endif /* _ET_TREE_H */
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