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/*
  Red Black Trees
  (C) 1999  Andrea Arcangeli <andrea@suse.de>
  
  This program is free software; you can redistribute it and/or modify
  it under the terms of the GNU General Public License as published by
  the Free Software Foundation; either version 2 of the License, or
  (at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program; if not, write to the Free Software
  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

  linux/lib/rbtree.c
*/

#include <linux/rbtree.h>

static void __rb_rotate_left(rb_node_t * node, rb_root_t * root)
{
    rb_node_t * right = node->rb_right;

    if ((node->rb_right = right->rb_left))
        right->rb_left->rb_parent = node;
    right->rb_left = node;

    if ((right->rb_parent = node->rb_parent))
    {
        if (node == node->rb_parent->rb_left)
            node->rb_parent->rb_left = right;
        else
            node->rb_parent->rb_right = right;
    }
    else
        root->rb_node = right;
    node->rb_parent = right;
}

static void __rb_rotate_right(rb_node_t * node, rb_root_t * root)
{
    rb_node_t * left = node->rb_left;

    if ((node->rb_left = left->rb_right))
        left->rb_right->rb_parent = node;
    left->rb_right = node;

    if ((left->rb_parent = node->rb_parent))
    {
        if (node == node->rb_parent->rb_right)
            node->rb_parent->rb_right = left;
        else
            node->rb_parent->rb_left = left;
    }
    else
        root->rb_node = left;
    node->rb_parent = left;
}

void rb_insert_color(rb_node_t * node, rb_root_t * root)
{
    rb_node_t * parent, * gparent;

    while ((parent = node->rb_parent) && parent->rb_color == RB_RED)
    {
        gparent = parent->rb_parent;

        if (parent == gparent->rb_left)
        {
            {
                register rb_node_t * uncle = gparent->rb_right;
                if (uncle && uncle->rb_color == RB_RED)
                {
                    uncle->rb_color = RB_BLACK;
                    parent->rb_color = RB_BLACK;
                    gparent->rb_color = RB_RED;
                    node = gparent;
                    continue;
                }
            }

            if (parent->rb_right == node)
            {
                register rb_node_t * tmp;
                __rb_rotate_left(parent, root);
                tmp = parent;
                parent = node;
                node = tmp;
            }

            parent->rb_color = RB_BLACK;
            gparent->rb_color = RB_RED;
            __rb_rotate_right(gparent, root);
        } else {
            {
                register rb_node_t * uncle = gparent->rb_left;
                if (uncle && uncle->rb_color == RB_RED)
                {
                    uncle->rb_color = RB_BLACK;
                    parent->rb_color = RB_BLACK;
                    gparent->rb_color = RB_RED;
                    node = gparent;
                    continue;
                }
            }

            if (parent->rb_left == node)
            {
                register rb_node_t * tmp;
                __rb_rotate_right(parent, root);
                tmp = parent;
                parent = node;
                node = tmp;
            }

            parent->rb_color = RB_BLACK;
            gparent->rb_color = RB_RED;
            __rb_rotate_left(gparent, root);
        }
    }

    root->rb_node->rb_color = RB_BLACK;
}

static void __rb_erase_color(rb_node_t * node, rb_node_t * parent,
                 rb_root_t * root)
{
    rb_node_t * other;

    while ((!node || node->rb_color == RB_BLACK) && node != root->rb_node)
    {
        if (parent->rb_left == node)
        {
            other = parent->rb_right;
            if (other->rb_color == RB_RED)
            {
                other->rb_color = RB_BLACK;
                parent->rb_color = RB_RED;
                __rb_rotate_left(parent, root);
                other = parent->rb_right;
            }
            if ((!other->rb_left ||
                 other->rb_left->rb_color == RB_BLACK)
                && (!other->rb_right ||
                other->rb_right->rb_color == RB_BLACK))
            {
                other->rb_color = RB_RED;
                node = parent;
                parent = node->rb_parent;
            }
            else
            {
                if (!other->rb_right ||
                    other->rb_right->rb_color == RB_BLACK)
                {
                    register rb_node_t * o_left;
                    if ((o_left = other->rb_left))
                        o_left->rb_color = RB_BLACK;
                    other->rb_color = RB_RED;
                    __rb_rotate_right(other, root);
                    other = parent->rb_right;
                }
                other->rb_color = parent->rb_color;
                parent->rb_color = RB_BLACK;
                if (other->rb_right)
                    other->rb_right->rb_color = RB_BLACK;
                __rb_rotate_left(parent, root);
                node = root->rb_node;
                break;
            }
        }
        else
        {
            other = parent->rb_left;
            if (other->rb_color == RB_RED)
            {
                other->rb_color = RB_BLACK;
                parent->rb_color = RB_RED;
                __rb_rotate_right(parent, root);
                other = parent->rb_left;
            }
            if ((!other->rb_left ||
                 other->rb_left->rb_color == RB_BLACK)
                && (!other->rb_right ||
                other->rb_right->rb_color == RB_BLACK))
            {
                other->rb_color = RB_RED;
                node = parent;
                parent = node->rb_parent;
            }
            else
            {
                if (!other->rb_left ||
                    other->rb_left->rb_color == RB_BLACK)
                {
                    register rb_node_t * o_right;
                    if ((o_right = other->rb_right))
                        o_right->rb_color = RB_BLACK;
                    other->rb_color = RB_RED;
                    __rb_rotate_left(other, root);
                    other = parent->rb_left;
                }
                other->rb_color = parent->rb_color;
                parent->rb_color = RB_BLACK;
                if (other->rb_left)
                    other->rb_left->rb_color = RB_BLACK;
                __rb_rotate_right(parent, root);
                node = root->rb_node;
                break;
            }
        }
    }
    if (node)
        node->rb_color = RB_BLACK;
}

void rb_erase(rb_node_t * node, rb_root_t * root)
{
    rb_node_t * child, * parent;
    int color;

    if (!node->rb_left)
        child = node->rb_right;
    else if (!node->rb_right)
        child = node->rb_left;
    else
    {
        rb_node_t * old = node, * left;

        node = node->rb_right;
        while ((left = node->rb_left))
            node = left;
        child = node->rb_right;
        parent = node->rb_parent;
        color = node->rb_color;

        if (child)
            child->rb_parent = parent;
        if (parent)
        {
            if (parent->rb_left == node)
                parent->rb_left = child;
            else
                parent->rb_right = child;
        }
        else
            root->rb_node = child;

        if (node->rb_parent == old)
            parent = node;
        node->rb_parent = old->rb_parent;
        node->rb_color = old->rb_color;
        node->rb_right = old->rb_right;
        node->rb_left = old->rb_left;

        if (old->rb_parent)
        {
            if (old->rb_parent->rb_left == old)
                old->rb_parent->rb_left = node;
            else
                old->rb_parent->rb_right = node;
        } else
            root->rb_node = node;

        old->rb_left->rb_parent = node;
        if (old->rb_right)
            old->rb_right->rb_parent = node;
        goto color;
    }

    parent = node->rb_parent;
    color = node->rb_color;

    if (child)
        child->rb_parent = parent;
    if (parent)
    {
        if (parent->rb_left == node)
            parent->rb_left = child;
        else
            parent->rb_right = child;
    }
    else
        root->rb_node = child;

 color:
    if (color == RB_BLACK)
        __rb_erase_color(child, parent, root);
}

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