3 (C) 1999 Andrea Arcangeli <andrea@suse.de>
4 (C) 2002 David Woodhouse <dwmw2@infradead.org>
5 (C) 2012 Michel Lespinasse <walken@google.com>
7 * SPDX-License-Identifier: GPL-2.0+
9 linux/include/linux/rbtree_augmented.h
12 #ifndef _LINUX_RBTREE_AUGMENTED_H
13 #define _LINUX_RBTREE_AUGMENTED_H
15 #include <linux/compiler.h>
16 #include <linux/rbtree.h>
19 * Please note - only struct rb_augment_callbacks and the prototypes for
20 * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
21 * The rest are implementation details you are not expected to depend on.
23 * See Documentation/rbtree.txt for documentation and samples.
26 struct rb_augment_callbacks {
27 void (*propagate)(struct rb_node *node, struct rb_node *stop);
28 void (*copy)(struct rb_node *old, struct rb_node *new);
29 void (*rotate)(struct rb_node *old, struct rb_node *new);
32 extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
33 void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
35 rb_insert_augmented(struct rb_node *node, struct rb_root *root,
36 const struct rb_augment_callbacks *augment)
38 __rb_insert_augmented(node, root, augment->rotate);
41 #define RB_DECLARE_CALLBACKS(rbstatic, rbname, rbstruct, rbfield, \
42 rbtype, rbaugmented, rbcompute) \
44 rbname ## _propagate(struct rb_node *rb, struct rb_node *stop) \
46 while (rb != stop) { \
47 rbstruct *node = rb_entry(rb, rbstruct, rbfield); \
48 rbtype augmented = rbcompute(node); \
49 if (node->rbaugmented == augmented) \
51 node->rbaugmented = augmented; \
52 rb = rb_parent(&node->rbfield); \
56 rbname ## _copy(struct rb_node *rb_old, struct rb_node *rb_new) \
58 rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
59 rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
60 new->rbaugmented = old->rbaugmented; \
63 rbname ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new) \
65 rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
66 rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
67 new->rbaugmented = old->rbaugmented; \
68 old->rbaugmented = rbcompute(old); \
70 rbstatic const struct rb_augment_callbacks rbname = { \
71 rbname ## _propagate, rbname ## _copy, rbname ## _rotate \
78 #define __rb_parent(pc) ((struct rb_node *)(pc & ~3))
80 #define __rb_color(pc) ((pc) & 1)
81 #define __rb_is_black(pc) __rb_color(pc)
82 #define __rb_is_red(pc) (!__rb_color(pc))
83 #define rb_color(rb) __rb_color((rb)->__rb_parent_color)
84 #define rb_is_red(rb) __rb_is_red((rb)->__rb_parent_color)
85 #define rb_is_black(rb) __rb_is_black((rb)->__rb_parent_color)
87 static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
89 rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
92 static inline void rb_set_parent_color(struct rb_node *rb,
93 struct rb_node *p, int color)
95 rb->__rb_parent_color = (unsigned long)p | color;
99 __rb_change_child(struct rb_node *old, struct rb_node *new,
100 struct rb_node *parent, struct rb_root *root)
103 if (parent->rb_left == old)
104 parent->rb_left = new;
106 parent->rb_right = new;
111 extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
112 void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
114 static __always_inline struct rb_node *
115 __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
116 const struct rb_augment_callbacks *augment)
118 struct rb_node *child = node->rb_right, *tmp = node->rb_left;
119 struct rb_node *parent, *rebalance;
124 * Case 1: node to erase has no more than 1 child (easy!)
126 * Note that if there is one child it must be red due to 5)
127 * and node must be black due to 4). We adjust colors locally
128 * so as to bypass __rb_erase_color() later on.
130 pc = node->__rb_parent_color;
131 parent = __rb_parent(pc);
132 __rb_change_child(node, child, parent, root);
134 child->__rb_parent_color = pc;
137 rebalance = __rb_is_black(pc) ? parent : NULL;
140 /* Still case 1, but this time the child is node->rb_left */
141 tmp->__rb_parent_color = pc = node->__rb_parent_color;
142 parent = __rb_parent(pc);
143 __rb_change_child(node, tmp, parent, root);
147 struct rb_node *successor = child, *child2;
148 tmp = child->rb_left;
151 * Case 2: node's successor is its right child
160 child2 = successor->rb_right;
161 augment->copy(node, successor);
164 * Case 3: node's successor is leftmost under
165 * node's right child subtree
182 parent->rb_left = child2 = successor->rb_right;
183 successor->rb_right = child;
184 rb_set_parent(child, successor);
185 augment->copy(node, successor);
186 augment->propagate(parent, successor);
189 successor->rb_left = tmp = node->rb_left;
190 rb_set_parent(tmp, successor);
192 pc = node->__rb_parent_color;
193 tmp = __rb_parent(pc);
194 __rb_change_child(node, successor, tmp, root);
196 successor->__rb_parent_color = pc;
197 rb_set_parent_color(child2, parent, RB_BLACK);
200 unsigned long pc2 = successor->__rb_parent_color;
201 successor->__rb_parent_color = pc;
202 rebalance = __rb_is_black(pc2) ? parent : NULL;
207 augment->propagate(tmp, NULL);
211 static __always_inline void
212 rb_erase_augmented(struct rb_node *node, struct rb_root *root,
213 const struct rb_augment_callbacks *augment)
215 struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
217 __rb_erase_color(rebalance, root, augment->rotate);
220 #endif /* _LINUX_RBTREE_AUGMENTED_H */