1 /* A splay-tree datatype.
2 Copyright (C) 1998-2015 Free Software Foundation, Inc.
3 Contributed by Mark Mitchell (mark@markmitchell.com).
5 This file is part of the GNU Offloading and Multi Processing Library
8 Libgomp is free software; you can redistribute it and/or modify it
9 under the terms of the GNU General Public License as published by
10 the Free Software Foundation; either version 3, or (at your option)
13 Libgomp is distributed in the hope that it will be useful, but WITHOUT ANY
14 WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
15 FOR A PARTICULAR PURPOSE. See the GNU General Public License for
18 Under Section 7 of GPL version 3, you are granted additional
19 permissions described in the GCC Runtime Library Exception, version
20 3.1, as published by the Free Software Foundation.
22 You should have received a copy of the GNU General Public License and
23 a copy of the GCC Runtime Library Exception along with this program;
24 see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
25 <http://www.gnu.org/licenses/>. */
27 /* The splay tree code copied from include/splay-tree.h and adjusted,
28 so that all the data lives directly in splay_tree_node_s structure
29 and no extra allocations are needed. */
31 /* For an easily readable description of splay-trees, see:
33 Lewis, Harry R. and Denenberg, Larry. Data Structures and Their
34 Algorithms. Harper-Collins, Inc. 1991.
36 The major feature of splay trees is that all basic tree operations
37 are amortized O(log n) time for a tree with n nodes. */
40 #include "splay-tree.h"
42 extern int splay_compare (splay_tree_key
, splay_tree_key
);
44 /* Rotate the edge joining the left child N with its parent P. PP is the
45 grandparents' pointer to P. */
48 rotate_left (splay_tree_node
*pp
, splay_tree_node p
, splay_tree_node n
)
57 /* Rotate the edge joining the right child N with its parent P. PP is the
58 grandparents' pointer to P. */
61 rotate_right (splay_tree_node
*pp
, splay_tree_node p
, splay_tree_node n
)
70 /* Bottom up splay of KEY. */
73 splay_tree_splay (splay_tree sp
, splay_tree_key key
)
83 cmp1
= splay_compare (key
, &n
->key
);
89 /* Left or right? If no child, then we're done. */
97 /* Next one left or right? If found or no child, we're done
98 after one rotation. */
99 cmp2
= splay_compare (key
, &c
->key
);
101 || (cmp2
< 0 && !c
->left
)
102 || (cmp2
> 0 && !c
->right
))
105 rotate_left (&sp
->root
, n
, c
);
107 rotate_right (&sp
->root
, n
, c
);
111 /* Now we have the four cases of double-rotation. */
112 if (cmp1
< 0 && cmp2
< 0)
114 rotate_left (&n
->left
, c
, c
->left
);
115 rotate_left (&sp
->root
, n
, n
->left
);
117 else if (cmp1
> 0 && cmp2
> 0)
119 rotate_right (&n
->right
, c
, c
->right
);
120 rotate_right (&sp
->root
, n
, n
->right
);
122 else if (cmp1
< 0 && cmp2
> 0)
124 rotate_right (&n
->left
, c
, c
->right
);
125 rotate_left (&sp
->root
, n
, n
->left
);
127 else if (cmp1
> 0 && cmp2
< 0)
129 rotate_left (&n
->right
, c
, c
->left
);
130 rotate_right (&sp
->root
, n
, n
->right
);
135 /* Insert a new NODE into SP. The NODE shouldn't exist in the tree. */
137 attribute_hidden
void
138 splay_tree_insert (splay_tree sp
, splay_tree_node node
)
142 splay_tree_splay (sp
, &node
->key
);
145 comparison
= splay_compare (&sp
->root
->key
, &node
->key
);
147 if (sp
->root
&& comparison
== 0)
148 gomp_fatal ("Duplicate node");
151 /* Insert it at the root. */
152 if (sp
->root
== NULL
)
153 node
->left
= node
->right
= NULL
;
154 else if (comparison
< 0)
156 node
->left
= sp
->root
;
157 node
->right
= node
->left
->right
;
158 node
->left
->right
= NULL
;
162 node
->right
= sp
->root
;
163 node
->left
= node
->right
->left
;
164 node
->right
->left
= NULL
;
171 /* Remove node with KEY from SP. It is not an error if it did not exist. */
173 attribute_hidden
void
174 splay_tree_remove (splay_tree sp
, splay_tree_key key
)
176 splay_tree_splay (sp
, key
);
178 if (sp
->root
&& splay_compare (&sp
->root
->key
, key
) == 0)
180 splay_tree_node left
, right
;
182 left
= sp
->root
->left
;
183 right
= sp
->root
->right
;
185 /* One of the children is now the root. Doesn't matter much
186 which, so long as we preserve the properties of the tree. */
191 /* If there was a right child as well, hang it off the
192 right-most leaf of the left child. */
205 /* Lookup KEY in SP, returning NODE if present, and NULL
208 attribute_hidden splay_tree_key
209 splay_tree_lookup (splay_tree sp
, splay_tree_key key
)
211 splay_tree_splay (sp
, key
);
213 if (sp
->root
&& splay_compare (&sp
->root
->key
, key
) == 0)
214 return &sp
->root
->key
;