2005-04-17 05:20:36 +07:00
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/*
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Red Black Trees
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(C) 1999 Andrea Arcangeli <andrea@suse.de>
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(C) 2002 David Woodhouse <dwmw2@infradead.org>
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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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the Free Software Foundation; either version 2 of the License, or
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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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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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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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along with this program; if not, write to the Free Software
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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linux/lib/rbtree.c
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*/
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#include <linux/rbtree.h>
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2011-11-17 09:29:17 +07:00
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#include <linux/export.h>
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2005-04-17 05:20:36 +07:00
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2012-10-09 06:30:37 +07:00
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#define RB_RED 0
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#define RB_BLACK 1
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#define rb_color(r) ((r)->__rb_parent_color & 1)
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#define rb_is_red(r) (!rb_color(r))
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#define rb_is_black(r) rb_color(r)
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#define rb_set_red(r) do { (r)->__rb_parent_color &= ~1; } while (0)
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#define rb_set_black(r) do { (r)->__rb_parent_color |= 1; } while (0)
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static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
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{
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rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
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}
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static inline void rb_set_color(struct rb_node *rb, int color)
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{
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rb->__rb_parent_color = (rb->__rb_parent_color & ~1) | color;
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}
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2005-04-17 05:20:36 +07:00
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static void __rb_rotate_left(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *right = node->rb_right;
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2006-04-21 19:35:51 +07:00
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struct rb_node *parent = rb_parent(node);
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2005-04-17 05:20:36 +07:00
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if ((node->rb_right = right->rb_left))
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2006-04-21 19:35:51 +07:00
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rb_set_parent(right->rb_left, node);
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2005-04-17 05:20:36 +07:00
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right->rb_left = node;
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2006-04-21 19:35:51 +07:00
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rb_set_parent(right, parent);
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if (parent)
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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if (node == parent->rb_left)
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parent->rb_left = right;
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2005-04-17 05:20:36 +07:00
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else
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2006-04-21 19:35:51 +07:00
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parent->rb_right = right;
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2005-04-17 05:20:36 +07:00
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}
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else
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root->rb_node = right;
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2006-04-21 19:35:51 +07:00
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rb_set_parent(node, right);
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2005-04-17 05:20:36 +07:00
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}
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static void __rb_rotate_right(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *left = node->rb_left;
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2006-04-21 19:35:51 +07:00
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struct rb_node *parent = rb_parent(node);
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2005-04-17 05:20:36 +07:00
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if ((node->rb_left = left->rb_right))
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2006-04-21 19:35:51 +07:00
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rb_set_parent(left->rb_right, node);
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2005-04-17 05:20:36 +07:00
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left->rb_right = node;
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2006-04-21 19:35:51 +07:00
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rb_set_parent(left, parent);
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if (parent)
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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if (node == parent->rb_right)
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parent->rb_right = left;
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2005-04-17 05:20:36 +07:00
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else
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2006-04-21 19:35:51 +07:00
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parent->rb_left = left;
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2005-04-17 05:20:36 +07:00
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}
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else
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root->rb_node = left;
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2006-04-21 19:35:51 +07:00
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rb_set_parent(node, left);
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2005-04-17 05:20:36 +07:00
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}
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void rb_insert_color(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *parent, *gparent;
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2012-10-09 06:30:44 +07:00
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while (true) {
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/*
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* Loop invariant: node is red
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*
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* If there is a black parent, we are done.
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* Otherwise, take some corrective action as we don't
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* want a red root or two consecutive red nodes.
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*/
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parent = rb_parent(node);
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if (!parent) {
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rb_set_black(node);
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break;
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} else if (rb_is_black(parent))
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break;
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2006-04-21 19:35:51 +07:00
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gparent = rb_parent(parent);
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2005-04-17 05:20:36 +07:00
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if (parent == gparent->rb_left)
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{
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{
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register struct rb_node *uncle = gparent->rb_right;
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2006-04-21 19:35:51 +07:00
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if (uncle && rb_is_red(uncle))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_black(uncle);
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rb_set_black(parent);
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rb_set_red(gparent);
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2005-04-17 05:20:36 +07:00
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node = gparent;
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continue;
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}
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}
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2012-10-09 06:30:42 +07:00
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if (parent->rb_right == node) {
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2005-04-17 05:20:36 +07:00
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__rb_rotate_left(parent, root);
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parent = node;
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}
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2006-04-21 19:35:51 +07:00
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rb_set_black(parent);
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rb_set_red(gparent);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_right(gparent, root);
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2012-10-09 06:30:42 +07:00
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break;
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2005-04-17 05:20:36 +07:00
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} else {
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{
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register struct rb_node *uncle = gparent->rb_left;
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2006-04-21 19:35:51 +07:00
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if (uncle && rb_is_red(uncle))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_black(uncle);
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rb_set_black(parent);
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rb_set_red(gparent);
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2005-04-17 05:20:36 +07:00
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node = gparent;
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continue;
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}
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}
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2012-10-09 06:30:42 +07:00
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if (parent->rb_left == node) {
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2005-04-17 05:20:36 +07:00
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__rb_rotate_right(parent, root);
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parent = node;
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}
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2006-04-21 19:35:51 +07:00
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rb_set_black(parent);
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rb_set_red(gparent);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_left(gparent, root);
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2012-10-09 06:30:42 +07:00
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break;
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2005-04-17 05:20:36 +07:00
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}
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}
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}
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EXPORT_SYMBOL(rb_insert_color);
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static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
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struct rb_root *root)
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{
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struct rb_node *other;
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2006-04-21 19:35:51 +07:00
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while ((!node || rb_is_black(node)) && node != root->rb_node)
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2005-04-17 05:20:36 +07:00
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{
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if (parent->rb_left == node)
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{
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other = parent->rb_right;
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2006-04-21 19:35:51 +07:00
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if (rb_is_red(other))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_black(other);
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rb_set_red(parent);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_left(parent, root);
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other = parent->rb_right;
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}
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2006-04-21 19:35:51 +07:00
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if ((!other->rb_left || rb_is_black(other->rb_left)) &&
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(!other->rb_right || rb_is_black(other->rb_right)))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_red(other);
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2005-04-17 05:20:36 +07:00
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node = parent;
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2006-04-21 19:35:51 +07:00
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parent = rb_parent(node);
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2005-04-17 05:20:36 +07:00
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}
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else
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{
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2006-04-21 19:35:51 +07:00
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if (!other->rb_right || rb_is_black(other->rb_right))
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2005-04-17 05:20:36 +07:00
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{
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2009-04-01 05:23:45 +07:00
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rb_set_black(other->rb_left);
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2006-04-21 19:35:51 +07:00
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rb_set_red(other);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_right(other, root);
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other = parent->rb_right;
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}
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2006-06-06 02:19:05 +07:00
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rb_set_color(other, rb_color(parent));
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2006-04-21 19:35:51 +07:00
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rb_set_black(parent);
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2009-04-01 05:23:45 +07:00
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rb_set_black(other->rb_right);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_left(parent, root);
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node = root->rb_node;
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break;
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}
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}
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else
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{
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other = parent->rb_left;
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2006-04-21 19:35:51 +07:00
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if (rb_is_red(other))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_black(other);
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rb_set_red(parent);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_right(parent, root);
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other = parent->rb_left;
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}
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2006-04-21 19:35:51 +07:00
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if ((!other->rb_left || rb_is_black(other->rb_left)) &&
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(!other->rb_right || rb_is_black(other->rb_right)))
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2005-04-17 05:20:36 +07:00
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{
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2006-04-21 19:35:51 +07:00
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rb_set_red(other);
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2005-04-17 05:20:36 +07:00
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node = parent;
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2006-04-21 19:35:51 +07:00
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parent = rb_parent(node);
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2005-04-17 05:20:36 +07:00
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}
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else
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{
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2006-04-21 19:35:51 +07:00
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if (!other->rb_left || rb_is_black(other->rb_left))
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2005-04-17 05:20:36 +07:00
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{
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2009-04-01 05:23:45 +07:00
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rb_set_black(other->rb_right);
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2006-04-21 19:35:51 +07:00
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rb_set_red(other);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_left(other, root);
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other = parent->rb_left;
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}
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2006-06-06 02:19:05 +07:00
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rb_set_color(other, rb_color(parent));
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2006-04-21 19:35:51 +07:00
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rb_set_black(parent);
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2009-04-01 05:23:45 +07:00
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rb_set_black(other->rb_left);
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2005-04-17 05:20:36 +07:00
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__rb_rotate_right(parent, root);
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node = root->rb_node;
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break;
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}
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}
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}
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if (node)
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2006-04-21 19:35:51 +07:00
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rb_set_black(node);
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2005-04-17 05:20:36 +07:00
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}
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void rb_erase(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *child, *parent;
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int color;
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if (!node->rb_left)
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child = node->rb_right;
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else if (!node->rb_right)
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child = node->rb_left;
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else
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{
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struct rb_node *old = node, *left;
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node = node->rb_right;
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while ((left = node->rb_left) != NULL)
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node = left;
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2009-06-17 05:34:11 +07:00
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if (rb_parent(old)) {
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if (rb_parent(old)->rb_left == old)
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rb_parent(old)->rb_left = node;
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else
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rb_parent(old)->rb_right = node;
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} else
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root->rb_node = node;
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2005-04-17 05:20:36 +07:00
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child = node->rb_right;
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2006-04-21 19:35:51 +07:00
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parent = rb_parent(node);
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2006-06-06 02:19:05 +07:00
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color = rb_color(node);
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2005-04-17 05:20:36 +07:00
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2006-04-21 19:35:51 +07:00
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if (parent == old) {
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2005-04-17 05:20:36 +07:00
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parent = node;
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2009-06-17 05:34:12 +07:00
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} else {
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if (child)
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rb_set_parent(child, parent);
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2006-04-21 19:30:36 +07:00
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parent->rb_left = child;
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2009-06-17 05:34:13 +07:00
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node->rb_right = old->rb_right;
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rb_set_parent(old->rb_right, node);
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2009-06-17 05:34:12 +07:00
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}
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2006-04-21 19:30:36 +07:00
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2012-10-09 06:30:37 +07:00
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node->__rb_parent_color = old->__rb_parent_color;
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2005-04-17 05:20:36 +07:00
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node->rb_left = old->rb_left;
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2006-04-21 19:35:51 +07:00
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rb_set_parent(old->rb_left, node);
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2009-06-17 05:34:13 +07:00
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2005-04-17 05:20:36 +07:00
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goto color;
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}
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2006-04-21 19:35:51 +07:00
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parent = rb_parent(node);
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2006-06-06 02:19:05 +07:00
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color = rb_color(node);
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2005-04-17 05:20:36 +07:00
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if (child)
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2006-04-21 19:35:51 +07:00
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rb_set_parent(child, parent);
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2010-05-29 20:31:43 +07:00
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if (parent)
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{
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2005-04-17 05:20:36 +07:00
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if (parent->rb_left == node)
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parent->rb_left = child;
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else
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parent->rb_right = child;
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2010-02-11 06:23:44 +07:00
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}
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2010-05-29 20:31:43 +07:00
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else
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root->rb_node = child;
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2005-04-17 05:20:36 +07:00
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color:
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if (color == RB_BLACK)
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|
|
__rb_erase_color(child, parent, root);
|
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_erase);
|
|
|
|
|
2010-05-29 20:31:43 +07:00
|
|
|
static void rb_augment_path(struct rb_node *node, rb_augment_f func, void *data)
|
|
|
|
{
|
|
|
|
struct rb_node *parent;
|
|
|
|
|
|
|
|
up:
|
|
|
|
func(node, data);
|
|
|
|
parent = rb_parent(node);
|
|
|
|
if (!parent)
|
|
|
|
return;
|
|
|
|
|
|
|
|
if (node == parent->rb_left && parent->rb_right)
|
|
|
|
func(parent->rb_right, data);
|
|
|
|
else if (parent->rb_left)
|
|
|
|
func(parent->rb_left, data);
|
|
|
|
|
|
|
|
node = parent;
|
|
|
|
goto up;
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* after inserting @node into the tree, update the tree to account for
|
|
|
|
* both the new entry and any damage done by rebalance
|
|
|
|
*/
|
|
|
|
void rb_augment_insert(struct rb_node *node, rb_augment_f func, void *data)
|
|
|
|
{
|
|
|
|
if (node->rb_left)
|
|
|
|
node = node->rb_left;
|
|
|
|
else if (node->rb_right)
|
|
|
|
node = node->rb_right;
|
|
|
|
|
|
|
|
rb_augment_path(node, func, data);
|
|
|
|
}
|
2011-01-26 21:55:36 +07:00
|
|
|
EXPORT_SYMBOL(rb_augment_insert);
|
2010-05-29 20:31:43 +07:00
|
|
|
|
|
|
|
/*
|
|
|
|
* before removing the node, find the deepest node on the rebalance path
|
|
|
|
* that will still be there after @node gets removed
|
|
|
|
*/
|
|
|
|
struct rb_node *rb_augment_erase_begin(struct rb_node *node)
|
|
|
|
{
|
|
|
|
struct rb_node *deepest;
|
|
|
|
|
|
|
|
if (!node->rb_right && !node->rb_left)
|
|
|
|
deepest = rb_parent(node);
|
|
|
|
else if (!node->rb_right)
|
|
|
|
deepest = node->rb_left;
|
|
|
|
else if (!node->rb_left)
|
|
|
|
deepest = node->rb_right;
|
|
|
|
else {
|
|
|
|
deepest = rb_next(node);
|
|
|
|
if (deepest->rb_right)
|
|
|
|
deepest = deepest->rb_right;
|
|
|
|
else if (rb_parent(deepest) != node)
|
|
|
|
deepest = rb_parent(deepest);
|
|
|
|
}
|
|
|
|
|
|
|
|
return deepest;
|
|
|
|
}
|
2011-01-26 21:55:36 +07:00
|
|
|
EXPORT_SYMBOL(rb_augment_erase_begin);
|
2010-05-29 20:31:43 +07:00
|
|
|
|
|
|
|
/*
|
|
|
|
* after removal, update the tree to account for the removed entry
|
|
|
|
* and any rebalance damage.
|
|
|
|
*/
|
|
|
|
void rb_augment_erase_end(struct rb_node *node, rb_augment_f func, void *data)
|
|
|
|
{
|
|
|
|
if (node)
|
|
|
|
rb_augment_path(node, func, data);
|
|
|
|
}
|
2011-01-26 21:55:36 +07:00
|
|
|
EXPORT_SYMBOL(rb_augment_erase_end);
|
2010-05-29 20:31:43 +07:00
|
|
|
|
2005-04-17 05:20:36 +07:00
|
|
|
/*
|
|
|
|
* This function returns the first node (in sort order) of the tree.
|
|
|
|
*/
|
2009-01-10 18:12:09 +07:00
|
|
|
struct rb_node *rb_first(const struct rb_root *root)
|
2005-04-17 05:20:36 +07:00
|
|
|
{
|
|
|
|
struct rb_node *n;
|
|
|
|
|
|
|
|
n = root->rb_node;
|
|
|
|
if (!n)
|
|
|
|
return NULL;
|
|
|
|
while (n->rb_left)
|
|
|
|
n = n->rb_left;
|
|
|
|
return n;
|
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_first);
|
|
|
|
|
2009-01-10 18:12:09 +07:00
|
|
|
struct rb_node *rb_last(const struct rb_root *root)
|
2005-04-17 05:20:36 +07:00
|
|
|
{
|
|
|
|
struct rb_node *n;
|
|
|
|
|
|
|
|
n = root->rb_node;
|
|
|
|
if (!n)
|
|
|
|
return NULL;
|
|
|
|
while (n->rb_right)
|
|
|
|
n = n->rb_right;
|
|
|
|
return n;
|
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_last);
|
|
|
|
|
2009-01-10 18:12:09 +07:00
|
|
|
struct rb_node *rb_next(const struct rb_node *node)
|
2005-04-17 05:20:36 +07:00
|
|
|
{
|
2006-04-21 19:35:51 +07:00
|
|
|
struct rb_node *parent;
|
|
|
|
|
2012-10-09 06:30:32 +07:00
|
|
|
if (RB_EMPTY_NODE(node))
|
2006-07-12 02:15:52 +07:00
|
|
|
return NULL;
|
|
|
|
|
2005-04-17 05:20:36 +07:00
|
|
|
/* If we have a right-hand child, go down and then left as far
|
|
|
|
as we can. */
|
|
|
|
if (node->rb_right) {
|
|
|
|
node = node->rb_right;
|
|
|
|
while (node->rb_left)
|
|
|
|
node=node->rb_left;
|
2009-01-10 18:12:09 +07:00
|
|
|
return (struct rb_node *)node;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
|
|
|
|
|
|
|
/* No right-hand children. Everything down and left is
|
|
|
|
smaller than us, so any 'next' node must be in the general
|
|
|
|
direction of our parent. Go up the tree; any time the
|
|
|
|
ancestor is a right-hand child of its parent, keep going
|
|
|
|
up. First time it's a left-hand child of its parent, said
|
|
|
|
parent is our 'next' node. */
|
2006-04-21 19:35:51 +07:00
|
|
|
while ((parent = rb_parent(node)) && node == parent->rb_right)
|
|
|
|
node = parent;
|
2005-04-17 05:20:36 +07:00
|
|
|
|
2006-04-21 19:35:51 +07:00
|
|
|
return parent;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_next);
|
|
|
|
|
2009-01-10 18:12:09 +07:00
|
|
|
struct rb_node *rb_prev(const struct rb_node *node)
|
2005-04-17 05:20:36 +07:00
|
|
|
{
|
2006-04-21 19:35:51 +07:00
|
|
|
struct rb_node *parent;
|
|
|
|
|
2012-10-09 06:30:32 +07:00
|
|
|
if (RB_EMPTY_NODE(node))
|
2006-07-12 02:15:52 +07:00
|
|
|
return NULL;
|
|
|
|
|
2005-04-17 05:20:36 +07:00
|
|
|
/* If we have a left-hand child, go down and then right as far
|
|
|
|
as we can. */
|
|
|
|
if (node->rb_left) {
|
|
|
|
node = node->rb_left;
|
|
|
|
while (node->rb_right)
|
|
|
|
node=node->rb_right;
|
2009-01-10 18:12:09 +07:00
|
|
|
return (struct rb_node *)node;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
|
|
|
|
|
|
|
/* No left-hand children. Go up till we find an ancestor which
|
|
|
|
is a right-hand child of its parent */
|
2006-04-21 19:35:51 +07:00
|
|
|
while ((parent = rb_parent(node)) && node == parent->rb_left)
|
|
|
|
node = parent;
|
2005-04-17 05:20:36 +07:00
|
|
|
|
2006-04-21 19:35:51 +07:00
|
|
|
return parent;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_prev);
|
|
|
|
|
|
|
|
void rb_replace_node(struct rb_node *victim, struct rb_node *new,
|
|
|
|
struct rb_root *root)
|
|
|
|
{
|
2006-04-21 19:35:51 +07:00
|
|
|
struct rb_node *parent = rb_parent(victim);
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
/* Set the surrounding nodes to point to the replacement */
|
|
|
|
if (parent) {
|
|
|
|
if (victim == parent->rb_left)
|
|
|
|
parent->rb_left = new;
|
|
|
|
else
|
|
|
|
parent->rb_right = new;
|
|
|
|
} else {
|
|
|
|
root->rb_node = new;
|
|
|
|
}
|
|
|
|
if (victim->rb_left)
|
2006-04-21 19:35:51 +07:00
|
|
|
rb_set_parent(victim->rb_left, new);
|
2005-04-17 05:20:36 +07:00
|
|
|
if (victim->rb_right)
|
2006-04-21 19:35:51 +07:00
|
|
|
rb_set_parent(victim->rb_right, new);
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
/* Copy the pointers/colour from the victim to the replacement */
|
|
|
|
*new = *victim;
|
|
|
|
}
|
|
|
|
EXPORT_SYMBOL(rb_replace_node);
|