1*9dd228b5SHeiko Schocher /*
2*9dd228b5SHeiko Schocher Red Black Trees
3*9dd228b5SHeiko Schocher (C) 1999 Andrea Arcangeli <andrea@suse.de>
4*9dd228b5SHeiko Schocher (C) 2002 David Woodhouse <dwmw2@infradead.org>
5*9dd228b5SHeiko Schocher (C) 2012 Michel Lespinasse <walken@google.com>
6*9dd228b5SHeiko Schocher
7*9dd228b5SHeiko Schocher * SPDX-License-Identifier: GPL-2.0+
8*9dd228b5SHeiko Schocher
9*9dd228b5SHeiko Schocher linux/include/linux/rbtree_augmented.h
10*9dd228b5SHeiko Schocher */
11*9dd228b5SHeiko Schocher
12*9dd228b5SHeiko Schocher #ifndef _LINUX_RBTREE_AUGMENTED_H
13*9dd228b5SHeiko Schocher #define _LINUX_RBTREE_AUGMENTED_H
14*9dd228b5SHeiko Schocher
15*9dd228b5SHeiko Schocher #include <linux/compiler.h>
16*9dd228b5SHeiko Schocher #include <linux/rbtree.h>
17*9dd228b5SHeiko Schocher
18*9dd228b5SHeiko Schocher /*
19*9dd228b5SHeiko Schocher * Please note - only struct rb_augment_callbacks and the prototypes for
20*9dd228b5SHeiko Schocher * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
21*9dd228b5SHeiko Schocher * The rest are implementation details you are not expected to depend on.
22*9dd228b5SHeiko Schocher *
23*9dd228b5SHeiko Schocher * See Documentation/rbtree.txt for documentation and samples.
24*9dd228b5SHeiko Schocher */
25*9dd228b5SHeiko Schocher
26*9dd228b5SHeiko Schocher struct rb_augment_callbacks {
27*9dd228b5SHeiko Schocher void (*propagate)(struct rb_node *node, struct rb_node *stop);
28*9dd228b5SHeiko Schocher void (*copy)(struct rb_node *old, struct rb_node *new);
29*9dd228b5SHeiko Schocher void (*rotate)(struct rb_node *old, struct rb_node *new);
30*9dd228b5SHeiko Schocher };
31*9dd228b5SHeiko Schocher
32*9dd228b5SHeiko Schocher extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
33*9dd228b5SHeiko Schocher void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
34*9dd228b5SHeiko Schocher static inline void
rb_insert_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)35*9dd228b5SHeiko Schocher rb_insert_augmented(struct rb_node *node, struct rb_root *root,
36*9dd228b5SHeiko Schocher const struct rb_augment_callbacks *augment)
37*9dd228b5SHeiko Schocher {
38*9dd228b5SHeiko Schocher __rb_insert_augmented(node, root, augment->rotate);
39*9dd228b5SHeiko Schocher }
40*9dd228b5SHeiko Schocher
41*9dd228b5SHeiko Schocher #define RB_DECLARE_CALLBACKS(rbstatic, rbname, rbstruct, rbfield, \
42*9dd228b5SHeiko Schocher rbtype, rbaugmented, rbcompute) \
43*9dd228b5SHeiko Schocher static inline void \
44*9dd228b5SHeiko Schocher rbname ## _propagate(struct rb_node *rb, struct rb_node *stop) \
45*9dd228b5SHeiko Schocher { \
46*9dd228b5SHeiko Schocher while (rb != stop) { \
47*9dd228b5SHeiko Schocher rbstruct *node = rb_entry(rb, rbstruct, rbfield); \
48*9dd228b5SHeiko Schocher rbtype augmented = rbcompute(node); \
49*9dd228b5SHeiko Schocher if (node->rbaugmented == augmented) \
50*9dd228b5SHeiko Schocher break; \
51*9dd228b5SHeiko Schocher node->rbaugmented = augmented; \
52*9dd228b5SHeiko Schocher rb = rb_parent(&node->rbfield); \
53*9dd228b5SHeiko Schocher } \
54*9dd228b5SHeiko Schocher } \
55*9dd228b5SHeiko Schocher static inline void \
56*9dd228b5SHeiko Schocher rbname ## _copy(struct rb_node *rb_old, struct rb_node *rb_new) \
57*9dd228b5SHeiko Schocher { \
58*9dd228b5SHeiko Schocher rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
59*9dd228b5SHeiko Schocher rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
60*9dd228b5SHeiko Schocher new->rbaugmented = old->rbaugmented; \
61*9dd228b5SHeiko Schocher } \
62*9dd228b5SHeiko Schocher static void \
63*9dd228b5SHeiko Schocher rbname ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new) \
64*9dd228b5SHeiko Schocher { \
65*9dd228b5SHeiko Schocher rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
66*9dd228b5SHeiko Schocher rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
67*9dd228b5SHeiko Schocher new->rbaugmented = old->rbaugmented; \
68*9dd228b5SHeiko Schocher old->rbaugmented = rbcompute(old); \
69*9dd228b5SHeiko Schocher } \
70*9dd228b5SHeiko Schocher rbstatic const struct rb_augment_callbacks rbname = { \
71*9dd228b5SHeiko Schocher rbname ## _propagate, rbname ## _copy, rbname ## _rotate \
72*9dd228b5SHeiko Schocher };
73*9dd228b5SHeiko Schocher
74*9dd228b5SHeiko Schocher
75*9dd228b5SHeiko Schocher #define RB_RED 0
76*9dd228b5SHeiko Schocher #define RB_BLACK 1
77*9dd228b5SHeiko Schocher
78*9dd228b5SHeiko Schocher #define __rb_parent(pc) ((struct rb_node *)(pc & ~3))
79*9dd228b5SHeiko Schocher
80*9dd228b5SHeiko Schocher #define __rb_color(pc) ((pc) & 1)
81*9dd228b5SHeiko Schocher #define __rb_is_black(pc) __rb_color(pc)
82*9dd228b5SHeiko Schocher #define __rb_is_red(pc) (!__rb_color(pc))
83*9dd228b5SHeiko Schocher #define rb_color(rb) __rb_color((rb)->__rb_parent_color)
84*9dd228b5SHeiko Schocher #define rb_is_red(rb) __rb_is_red((rb)->__rb_parent_color)
85*9dd228b5SHeiko Schocher #define rb_is_black(rb) __rb_is_black((rb)->__rb_parent_color)
86*9dd228b5SHeiko Schocher
rb_set_parent(struct rb_node * rb,struct rb_node * p)87*9dd228b5SHeiko Schocher static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
88*9dd228b5SHeiko Schocher {
89*9dd228b5SHeiko Schocher rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
90*9dd228b5SHeiko Schocher }
91*9dd228b5SHeiko Schocher
rb_set_parent_color(struct rb_node * rb,struct rb_node * p,int color)92*9dd228b5SHeiko Schocher static inline void rb_set_parent_color(struct rb_node *rb,
93*9dd228b5SHeiko Schocher struct rb_node *p, int color)
94*9dd228b5SHeiko Schocher {
95*9dd228b5SHeiko Schocher rb->__rb_parent_color = (unsigned long)p | color;
96*9dd228b5SHeiko Schocher }
97*9dd228b5SHeiko Schocher
98*9dd228b5SHeiko Schocher static inline void
__rb_change_child(struct rb_node * old,struct rb_node * new,struct rb_node * parent,struct rb_root * root)99*9dd228b5SHeiko Schocher __rb_change_child(struct rb_node *old, struct rb_node *new,
100*9dd228b5SHeiko Schocher struct rb_node *parent, struct rb_root *root)
101*9dd228b5SHeiko Schocher {
102*9dd228b5SHeiko Schocher if (parent) {
103*9dd228b5SHeiko Schocher if (parent->rb_left == old)
104*9dd228b5SHeiko Schocher parent->rb_left = new;
105*9dd228b5SHeiko Schocher else
106*9dd228b5SHeiko Schocher parent->rb_right = new;
107*9dd228b5SHeiko Schocher } else
108*9dd228b5SHeiko Schocher root->rb_node = new;
109*9dd228b5SHeiko Schocher }
110*9dd228b5SHeiko Schocher
111*9dd228b5SHeiko Schocher extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
112*9dd228b5SHeiko Schocher void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
113*9dd228b5SHeiko Schocher
114*9dd228b5SHeiko Schocher static __always_inline struct rb_node *
__rb_erase_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)115*9dd228b5SHeiko Schocher __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
116*9dd228b5SHeiko Schocher const struct rb_augment_callbacks *augment)
117*9dd228b5SHeiko Schocher {
118*9dd228b5SHeiko Schocher struct rb_node *child = node->rb_right, *tmp = node->rb_left;
119*9dd228b5SHeiko Schocher struct rb_node *parent, *rebalance;
120*9dd228b5SHeiko Schocher unsigned long pc;
121*9dd228b5SHeiko Schocher
122*9dd228b5SHeiko Schocher if (!tmp) {
123*9dd228b5SHeiko Schocher /*
124*9dd228b5SHeiko Schocher * Case 1: node to erase has no more than 1 child (easy!)
125*9dd228b5SHeiko Schocher *
126*9dd228b5SHeiko Schocher * Note that if there is one child it must be red due to 5)
127*9dd228b5SHeiko Schocher * and node must be black due to 4). We adjust colors locally
128*9dd228b5SHeiko Schocher * so as to bypass __rb_erase_color() later on.
129*9dd228b5SHeiko Schocher */
130*9dd228b5SHeiko Schocher pc = node->__rb_parent_color;
131*9dd228b5SHeiko Schocher parent = __rb_parent(pc);
132*9dd228b5SHeiko Schocher __rb_change_child(node, child, parent, root);
133*9dd228b5SHeiko Schocher if (child) {
134*9dd228b5SHeiko Schocher child->__rb_parent_color = pc;
135*9dd228b5SHeiko Schocher rebalance = NULL;
136*9dd228b5SHeiko Schocher } else
137*9dd228b5SHeiko Schocher rebalance = __rb_is_black(pc) ? parent : NULL;
138*9dd228b5SHeiko Schocher tmp = parent;
139*9dd228b5SHeiko Schocher } else if (!child) {
140*9dd228b5SHeiko Schocher /* Still case 1, but this time the child is node->rb_left */
141*9dd228b5SHeiko Schocher tmp->__rb_parent_color = pc = node->__rb_parent_color;
142*9dd228b5SHeiko Schocher parent = __rb_parent(pc);
143*9dd228b5SHeiko Schocher __rb_change_child(node, tmp, parent, root);
144*9dd228b5SHeiko Schocher rebalance = NULL;
145*9dd228b5SHeiko Schocher tmp = parent;
146*9dd228b5SHeiko Schocher } else {
147*9dd228b5SHeiko Schocher struct rb_node *successor = child, *child2;
148*9dd228b5SHeiko Schocher tmp = child->rb_left;
149*9dd228b5SHeiko Schocher if (!tmp) {
150*9dd228b5SHeiko Schocher /*
151*9dd228b5SHeiko Schocher * Case 2: node's successor is its right child
152*9dd228b5SHeiko Schocher *
153*9dd228b5SHeiko Schocher * (n) (s)
154*9dd228b5SHeiko Schocher * / \ / \
155*9dd228b5SHeiko Schocher * (x) (s) -> (x) (c)
156*9dd228b5SHeiko Schocher * \
157*9dd228b5SHeiko Schocher * (c)
158*9dd228b5SHeiko Schocher */
159*9dd228b5SHeiko Schocher parent = successor;
160*9dd228b5SHeiko Schocher child2 = successor->rb_right;
161*9dd228b5SHeiko Schocher augment->copy(node, successor);
162*9dd228b5SHeiko Schocher } else {
163*9dd228b5SHeiko Schocher /*
164*9dd228b5SHeiko Schocher * Case 3: node's successor is leftmost under
165*9dd228b5SHeiko Schocher * node's right child subtree
166*9dd228b5SHeiko Schocher *
167*9dd228b5SHeiko Schocher * (n) (s)
168*9dd228b5SHeiko Schocher * / \ / \
169*9dd228b5SHeiko Schocher * (x) (y) -> (x) (y)
170*9dd228b5SHeiko Schocher * / /
171*9dd228b5SHeiko Schocher * (p) (p)
172*9dd228b5SHeiko Schocher * / /
173*9dd228b5SHeiko Schocher * (s) (c)
174*9dd228b5SHeiko Schocher * \
175*9dd228b5SHeiko Schocher * (c)
176*9dd228b5SHeiko Schocher */
177*9dd228b5SHeiko Schocher do {
178*9dd228b5SHeiko Schocher parent = successor;
179*9dd228b5SHeiko Schocher successor = tmp;
180*9dd228b5SHeiko Schocher tmp = tmp->rb_left;
181*9dd228b5SHeiko Schocher } while (tmp);
182*9dd228b5SHeiko Schocher parent->rb_left = child2 = successor->rb_right;
183*9dd228b5SHeiko Schocher successor->rb_right = child;
184*9dd228b5SHeiko Schocher rb_set_parent(child, successor);
185*9dd228b5SHeiko Schocher augment->copy(node, successor);
186*9dd228b5SHeiko Schocher augment->propagate(parent, successor);
187*9dd228b5SHeiko Schocher }
188*9dd228b5SHeiko Schocher
189*9dd228b5SHeiko Schocher successor->rb_left = tmp = node->rb_left;
190*9dd228b5SHeiko Schocher rb_set_parent(tmp, successor);
191*9dd228b5SHeiko Schocher
192*9dd228b5SHeiko Schocher pc = node->__rb_parent_color;
193*9dd228b5SHeiko Schocher tmp = __rb_parent(pc);
194*9dd228b5SHeiko Schocher __rb_change_child(node, successor, tmp, root);
195*9dd228b5SHeiko Schocher if (child2) {
196*9dd228b5SHeiko Schocher successor->__rb_parent_color = pc;
197*9dd228b5SHeiko Schocher rb_set_parent_color(child2, parent, RB_BLACK);
198*9dd228b5SHeiko Schocher rebalance = NULL;
199*9dd228b5SHeiko Schocher } else {
200*9dd228b5SHeiko Schocher unsigned long pc2 = successor->__rb_parent_color;
201*9dd228b5SHeiko Schocher successor->__rb_parent_color = pc;
202*9dd228b5SHeiko Schocher rebalance = __rb_is_black(pc2) ? parent : NULL;
203*9dd228b5SHeiko Schocher }
204*9dd228b5SHeiko Schocher tmp = successor;
205*9dd228b5SHeiko Schocher }
206*9dd228b5SHeiko Schocher
207*9dd228b5SHeiko Schocher augment->propagate(tmp, NULL);
208*9dd228b5SHeiko Schocher return rebalance;
209*9dd228b5SHeiko Schocher }
210*9dd228b5SHeiko Schocher
211*9dd228b5SHeiko Schocher static __always_inline void
rb_erase_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)212*9dd228b5SHeiko Schocher rb_erase_augmented(struct rb_node *node, struct rb_root *root,
213*9dd228b5SHeiko Schocher const struct rb_augment_callbacks *augment)
214*9dd228b5SHeiko Schocher {
215*9dd228b5SHeiko Schocher struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
216*9dd228b5SHeiko Schocher if (rebalance)
217*9dd228b5SHeiko Schocher __rb_erase_color(rebalance, root, augment->rotate);
218*9dd228b5SHeiko Schocher }
219*9dd228b5SHeiko Schocher
220*9dd228b5SHeiko Schocher #endif /* _LINUX_RBTREE_AUGMENTED_H */
221