linux/tools/include/linux/rbtree_augmented.h
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   1/*
   2  Red Black Trees
   3  (C) 1999  Andrea Arcangeli <andrea@suse.de>
   4  (C) 2002  David Woodhouse <dwmw2@infradead.org>
   5  (C) 2012  Michel Lespinasse <walken@google.com>
   6
   7  This program is free software; you can redistribute it and/or modify
   8  it under the terms of the GNU General Public License as published by
   9  the Free Software Foundation; either version 2 of the License, or
  10  (at your option) any later version.
  11
  12  This program is distributed in the hope that it will be useful,
  13  but WITHOUT ANY WARRANTY; without even the implied warranty of
  14  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  15  GNU General Public License for more details.
  16
  17  You should have received a copy of the GNU General Public License
  18  along with this program; if not, write to the Free Software
  19  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  20
  21  tools/linux/include/linux/rbtree_augmented.h
  22
  23  Copied from:
  24  linux/include/linux/rbtree_augmented.h
  25*/
  26
  27#ifndef _TOOLS_LINUX_RBTREE_AUGMENTED_H
  28#define _TOOLS_LINUX_RBTREE_AUGMENTED_H
  29
  30#include <linux/compiler.h>
  31#include <linux/rbtree.h>
  32
  33/*
  34 * Please note - only struct rb_augment_callbacks and the prototypes for
  35 * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
  36 * The rest are implementation details you are not expected to depend on.
  37 *
  38 * See Documentation/rbtree.txt for documentation and samples.
  39 */
  40
  41struct rb_augment_callbacks {
  42        void (*propagate)(struct rb_node *node, struct rb_node *stop);
  43        void (*copy)(struct rb_node *old, struct rb_node *new);
  44        void (*rotate)(struct rb_node *old, struct rb_node *new);
  45};
  46
  47extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
  48        void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
  49/*
  50 * Fixup the rbtree and update the augmented information when rebalancing.
  51 *
  52 * On insertion, the user must update the augmented information on the path
  53 * leading to the inserted node, then call rb_link_node() as usual and
  54 * rb_augment_inserted() instead of the usual rb_insert_color() call.
  55 * If rb_augment_inserted() rebalances the rbtree, it will callback into
  56 * a user provided function to update the augmented information on the
  57 * affected subtrees.
  58 */
  59static inline void
  60rb_insert_augmented(struct rb_node *node, struct rb_root *root,
  61                    const struct rb_augment_callbacks *augment)
  62{
  63        __rb_insert_augmented(node, root, augment->rotate);
  64}
  65
  66#define RB_DECLARE_CALLBACKS(rbstatic, rbname, rbstruct, rbfield,       \
  67                             rbtype, rbaugmented, rbcompute)            \
  68static inline void                                                      \
  69rbname ## _propagate(struct rb_node *rb, struct rb_node *stop)          \
  70{                                                                       \
  71        while (rb != stop) {                                            \
  72                rbstruct *node = rb_entry(rb, rbstruct, rbfield);       \
  73                rbtype augmented = rbcompute(node);                     \
  74                if (node->rbaugmented == augmented)                     \
  75                        break;                                          \
  76                node->rbaugmented = augmented;                          \
  77                rb = rb_parent(&node->rbfield);                         \
  78        }                                                               \
  79}                                                                       \
  80static inline void                                                      \
  81rbname ## _copy(struct rb_node *rb_old, struct rb_node *rb_new)         \
  82{                                                                       \
  83        rbstruct *old = rb_entry(rb_old, rbstruct, rbfield);            \
  84        rbstruct *new = rb_entry(rb_new, rbstruct, rbfield);            \
  85        new->rbaugmented = old->rbaugmented;                            \
  86}                                                                       \
  87static void                                                             \
  88rbname ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new)       \
  89{                                                                       \
  90        rbstruct *old = rb_entry(rb_old, rbstruct, rbfield);            \
  91        rbstruct *new = rb_entry(rb_new, rbstruct, rbfield);            \
  92        new->rbaugmented = old->rbaugmented;                            \
  93        old->rbaugmented = rbcompute(old);                              \
  94}                                                                       \
  95rbstatic const struct rb_augment_callbacks rbname = {                   \
  96        rbname ## _propagate, rbname ## _copy, rbname ## _rotate        \
  97};
  98
  99
 100#define RB_RED          0
 101#define RB_BLACK        1
 102
 103#define __rb_parent(pc)    ((struct rb_node *)(pc & ~3))
 104
 105#define __rb_color(pc)     ((pc) & 1)
 106#define __rb_is_black(pc)  __rb_color(pc)
 107#define __rb_is_red(pc)    (!__rb_color(pc))
 108#define rb_color(rb)       __rb_color((rb)->__rb_parent_color)
 109#define rb_is_red(rb)      __rb_is_red((rb)->__rb_parent_color)
 110#define rb_is_black(rb)    __rb_is_black((rb)->__rb_parent_color)
 111
 112static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
 113{
 114        rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
 115}
 116
 117static inline void rb_set_parent_color(struct rb_node *rb,
 118                                       struct rb_node *p, int color)
 119{
 120        rb->__rb_parent_color = (unsigned long)p | color;
 121}
 122
 123static inline void
 124__rb_change_child(struct rb_node *old, struct rb_node *new,
 125                  struct rb_node *parent, struct rb_root *root)
 126{
 127        if (parent) {
 128                if (parent->rb_left == old)
 129                        parent->rb_left = new;
 130                else
 131                        parent->rb_right = new;
 132        } else
 133                root->rb_node = new;
 134}
 135
 136extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
 137        void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
 138
 139static __always_inline struct rb_node *
 140__rb_erase_augmented(struct rb_node *node, struct rb_root *root,
 141                     const struct rb_augment_callbacks *augment)
 142{
 143        struct rb_node *child = node->rb_right, *tmp = node->rb_left;
 144        struct rb_node *parent, *rebalance;
 145        unsigned long pc;
 146
 147        if (!tmp) {
 148                /*
 149                 * Case 1: node to erase has no more than 1 child (easy!)
 150                 *
 151                 * Note that if there is one child it must be red due to 5)
 152                 * and node must be black due to 4). We adjust colors locally
 153                 * so as to bypass __rb_erase_color() later on.
 154                 */
 155                pc = node->__rb_parent_color;
 156                parent = __rb_parent(pc);
 157                __rb_change_child(node, child, parent, root);
 158                if (child) {
 159                        child->__rb_parent_color = pc;
 160                        rebalance = NULL;
 161                } else
 162                        rebalance = __rb_is_black(pc) ? parent : NULL;
 163                tmp = parent;
 164        } else if (!child) {
 165                /* Still case 1, but this time the child is node->rb_left */
 166                tmp->__rb_parent_color = pc = node->__rb_parent_color;
 167                parent = __rb_parent(pc);
 168                __rb_change_child(node, tmp, parent, root);
 169                rebalance = NULL;
 170                tmp = parent;
 171        } else {
 172                struct rb_node *successor = child, *child2;
 173                tmp = child->rb_left;
 174                if (!tmp) {
 175                        /*
 176                         * Case 2: node's successor is its right child
 177                         *
 178                         *    (n)          (s)
 179                         *    / \          / \
 180                         *  (x) (s)  ->  (x) (c)
 181                         *        \
 182                         *        (c)
 183                         */
 184                        parent = successor;
 185                        child2 = successor->rb_right;
 186                        augment->copy(node, successor);
 187                } else {
 188                        /*
 189                         * Case 3: node's successor is leftmost under
 190                         * node's right child subtree
 191                         *
 192                         *    (n)          (s)
 193                         *    / \          / \
 194                         *  (x) (y)  ->  (x) (y)
 195                         *      /            /
 196                         *    (p)          (p)
 197                         *    /            /
 198                         *  (s)          (c)
 199                         *    \
 200                         *    (c)
 201                         */
 202                        do {
 203                                parent = successor;
 204                                successor = tmp;
 205                                tmp = tmp->rb_left;
 206                        } while (tmp);
 207                        parent->rb_left = child2 = successor->rb_right;
 208                        successor->rb_right = child;
 209                        rb_set_parent(child, successor);
 210                        augment->copy(node, successor);
 211                        augment->propagate(parent, successor);
 212                }
 213
 214                successor->rb_left = tmp = node->rb_left;
 215                rb_set_parent(tmp, successor);
 216
 217                pc = node->__rb_parent_color;
 218                tmp = __rb_parent(pc);
 219                __rb_change_child(node, successor, tmp, root);
 220                if (child2) {
 221                        successor->__rb_parent_color = pc;
 222                        rb_set_parent_color(child2, parent, RB_BLACK);
 223                        rebalance = NULL;
 224                } else {
 225                        unsigned long pc2 = successor->__rb_parent_color;
 226                        successor->__rb_parent_color = pc;
 227                        rebalance = __rb_is_black(pc2) ? parent : NULL;
 228                }
 229                tmp = successor;
 230        }
 231
 232        augment->propagate(tmp, NULL);
 233        return rebalance;
 234}
 235
 236static __always_inline void
 237rb_erase_augmented(struct rb_node *node, struct rb_root *root,
 238                   const struct rb_augment_callbacks *augment)
 239{
 240        struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
 241        if (rebalance)
 242                __rb_erase_color(rebalance, root, augment->rotate);
 243}
 244
 245#endif  /* _TOOLS_LINUX_RBTREE_AUGMENTED_H */
 246