1*4882a593Smuzhiyun /*
2*4882a593Smuzhiyun Red Black Trees
3*4882a593Smuzhiyun (C) 1999 Andrea Arcangeli <andrea@suse.de>
4*4882a593Smuzhiyun (C) 2002 David Woodhouse <dwmw2@infradead.org>
5*4882a593Smuzhiyun (C) 2012 Michel Lespinasse <walken@google.com>
6*4882a593Smuzhiyun
7*4882a593Smuzhiyun * SPDX-License-Identifier: GPL-2.0+
8*4882a593Smuzhiyun
9*4882a593Smuzhiyun linux/include/linux/rbtree_augmented.h
10*4882a593Smuzhiyun */
11*4882a593Smuzhiyun
12*4882a593Smuzhiyun #ifndef _LINUX_RBTREE_AUGMENTED_H
13*4882a593Smuzhiyun #define _LINUX_RBTREE_AUGMENTED_H
14*4882a593Smuzhiyun
15*4882a593Smuzhiyun #include <linux/compiler.h>
16*4882a593Smuzhiyun #include <linux/rbtree.h>
17*4882a593Smuzhiyun
18*4882a593Smuzhiyun /*
19*4882a593Smuzhiyun * Please note - only struct rb_augment_callbacks and the prototypes for
20*4882a593Smuzhiyun * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
21*4882a593Smuzhiyun * The rest are implementation details you are not expected to depend on.
22*4882a593Smuzhiyun *
23*4882a593Smuzhiyun * See Documentation/rbtree.txt for documentation and samples.
24*4882a593Smuzhiyun */
25*4882a593Smuzhiyun
26*4882a593Smuzhiyun struct rb_augment_callbacks {
27*4882a593Smuzhiyun void (*propagate)(struct rb_node *node, struct rb_node *stop);
28*4882a593Smuzhiyun void (*copy)(struct rb_node *old, struct rb_node *new);
29*4882a593Smuzhiyun void (*rotate)(struct rb_node *old, struct rb_node *new);
30*4882a593Smuzhiyun };
31*4882a593Smuzhiyun
32*4882a593Smuzhiyun extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
33*4882a593Smuzhiyun void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
34*4882a593Smuzhiyun static inline void
rb_insert_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)35*4882a593Smuzhiyun rb_insert_augmented(struct rb_node *node, struct rb_root *root,
36*4882a593Smuzhiyun const struct rb_augment_callbacks *augment)
37*4882a593Smuzhiyun {
38*4882a593Smuzhiyun __rb_insert_augmented(node, root, augment->rotate);
39*4882a593Smuzhiyun }
40*4882a593Smuzhiyun
41*4882a593Smuzhiyun #define RB_DECLARE_CALLBACKS(rbstatic, rbname, rbstruct, rbfield, \
42*4882a593Smuzhiyun rbtype, rbaugmented, rbcompute) \
43*4882a593Smuzhiyun static inline void \
44*4882a593Smuzhiyun rbname ## _propagate(struct rb_node *rb, struct rb_node *stop) \
45*4882a593Smuzhiyun { \
46*4882a593Smuzhiyun while (rb != stop) { \
47*4882a593Smuzhiyun rbstruct *node = rb_entry(rb, rbstruct, rbfield); \
48*4882a593Smuzhiyun rbtype augmented = rbcompute(node); \
49*4882a593Smuzhiyun if (node->rbaugmented == augmented) \
50*4882a593Smuzhiyun break; \
51*4882a593Smuzhiyun node->rbaugmented = augmented; \
52*4882a593Smuzhiyun rb = rb_parent(&node->rbfield); \
53*4882a593Smuzhiyun } \
54*4882a593Smuzhiyun } \
55*4882a593Smuzhiyun static inline void \
56*4882a593Smuzhiyun rbname ## _copy(struct rb_node *rb_old, struct rb_node *rb_new) \
57*4882a593Smuzhiyun { \
58*4882a593Smuzhiyun rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
59*4882a593Smuzhiyun rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
60*4882a593Smuzhiyun new->rbaugmented = old->rbaugmented; \
61*4882a593Smuzhiyun } \
62*4882a593Smuzhiyun static void \
63*4882a593Smuzhiyun rbname ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new) \
64*4882a593Smuzhiyun { \
65*4882a593Smuzhiyun rbstruct *old = rb_entry(rb_old, rbstruct, rbfield); \
66*4882a593Smuzhiyun rbstruct *new = rb_entry(rb_new, rbstruct, rbfield); \
67*4882a593Smuzhiyun new->rbaugmented = old->rbaugmented; \
68*4882a593Smuzhiyun old->rbaugmented = rbcompute(old); \
69*4882a593Smuzhiyun } \
70*4882a593Smuzhiyun rbstatic const struct rb_augment_callbacks rbname = { \
71*4882a593Smuzhiyun rbname ## _propagate, rbname ## _copy, rbname ## _rotate \
72*4882a593Smuzhiyun };
73*4882a593Smuzhiyun
74*4882a593Smuzhiyun
75*4882a593Smuzhiyun #define RB_RED 0
76*4882a593Smuzhiyun #define RB_BLACK 1
77*4882a593Smuzhiyun
78*4882a593Smuzhiyun #define __rb_parent(pc) ((struct rb_node *)(pc & ~3))
79*4882a593Smuzhiyun
80*4882a593Smuzhiyun #define __rb_color(pc) ((pc) & 1)
81*4882a593Smuzhiyun #define __rb_is_black(pc) __rb_color(pc)
82*4882a593Smuzhiyun #define __rb_is_red(pc) (!__rb_color(pc))
83*4882a593Smuzhiyun #define rb_color(rb) __rb_color((rb)->__rb_parent_color)
84*4882a593Smuzhiyun #define rb_is_red(rb) __rb_is_red((rb)->__rb_parent_color)
85*4882a593Smuzhiyun #define rb_is_black(rb) __rb_is_black((rb)->__rb_parent_color)
86*4882a593Smuzhiyun
rb_set_parent(struct rb_node * rb,struct rb_node * p)87*4882a593Smuzhiyun static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
88*4882a593Smuzhiyun {
89*4882a593Smuzhiyun rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
90*4882a593Smuzhiyun }
91*4882a593Smuzhiyun
rb_set_parent_color(struct rb_node * rb,struct rb_node * p,int color)92*4882a593Smuzhiyun static inline void rb_set_parent_color(struct rb_node *rb,
93*4882a593Smuzhiyun struct rb_node *p, int color)
94*4882a593Smuzhiyun {
95*4882a593Smuzhiyun rb->__rb_parent_color = (unsigned long)p | color;
96*4882a593Smuzhiyun }
97*4882a593Smuzhiyun
98*4882a593Smuzhiyun static inline void
__rb_change_child(struct rb_node * old,struct rb_node * new,struct rb_node * parent,struct rb_root * root)99*4882a593Smuzhiyun __rb_change_child(struct rb_node *old, struct rb_node *new,
100*4882a593Smuzhiyun struct rb_node *parent, struct rb_root *root)
101*4882a593Smuzhiyun {
102*4882a593Smuzhiyun if (parent) {
103*4882a593Smuzhiyun if (parent->rb_left == old)
104*4882a593Smuzhiyun parent->rb_left = new;
105*4882a593Smuzhiyun else
106*4882a593Smuzhiyun parent->rb_right = new;
107*4882a593Smuzhiyun } else
108*4882a593Smuzhiyun root->rb_node = new;
109*4882a593Smuzhiyun }
110*4882a593Smuzhiyun
111*4882a593Smuzhiyun extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
112*4882a593Smuzhiyun void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
113*4882a593Smuzhiyun
114*4882a593Smuzhiyun static __always_inline struct rb_node *
__rb_erase_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)115*4882a593Smuzhiyun __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
116*4882a593Smuzhiyun const struct rb_augment_callbacks *augment)
117*4882a593Smuzhiyun {
118*4882a593Smuzhiyun struct rb_node *child = node->rb_right, *tmp = node->rb_left;
119*4882a593Smuzhiyun struct rb_node *parent, *rebalance;
120*4882a593Smuzhiyun unsigned long pc;
121*4882a593Smuzhiyun
122*4882a593Smuzhiyun if (!tmp) {
123*4882a593Smuzhiyun /*
124*4882a593Smuzhiyun * Case 1: node to erase has no more than 1 child (easy!)
125*4882a593Smuzhiyun *
126*4882a593Smuzhiyun * Note that if there is one child it must be red due to 5)
127*4882a593Smuzhiyun * and node must be black due to 4). We adjust colors locally
128*4882a593Smuzhiyun * so as to bypass __rb_erase_color() later on.
129*4882a593Smuzhiyun */
130*4882a593Smuzhiyun pc = node->__rb_parent_color;
131*4882a593Smuzhiyun parent = __rb_parent(pc);
132*4882a593Smuzhiyun __rb_change_child(node, child, parent, root);
133*4882a593Smuzhiyun if (child) {
134*4882a593Smuzhiyun child->__rb_parent_color = pc;
135*4882a593Smuzhiyun rebalance = NULL;
136*4882a593Smuzhiyun } else
137*4882a593Smuzhiyun rebalance = __rb_is_black(pc) ? parent : NULL;
138*4882a593Smuzhiyun tmp = parent;
139*4882a593Smuzhiyun } else if (!child) {
140*4882a593Smuzhiyun /* Still case 1, but this time the child is node->rb_left */
141*4882a593Smuzhiyun tmp->__rb_parent_color = pc = node->__rb_parent_color;
142*4882a593Smuzhiyun parent = __rb_parent(pc);
143*4882a593Smuzhiyun __rb_change_child(node, tmp, parent, root);
144*4882a593Smuzhiyun rebalance = NULL;
145*4882a593Smuzhiyun tmp = parent;
146*4882a593Smuzhiyun } else {
147*4882a593Smuzhiyun struct rb_node *successor = child, *child2;
148*4882a593Smuzhiyun tmp = child->rb_left;
149*4882a593Smuzhiyun if (!tmp) {
150*4882a593Smuzhiyun /*
151*4882a593Smuzhiyun * Case 2: node's successor is its right child
152*4882a593Smuzhiyun *
153*4882a593Smuzhiyun * (n) (s)
154*4882a593Smuzhiyun * / \ / \
155*4882a593Smuzhiyun * (x) (s) -> (x) (c)
156*4882a593Smuzhiyun * \
157*4882a593Smuzhiyun * (c)
158*4882a593Smuzhiyun */
159*4882a593Smuzhiyun parent = successor;
160*4882a593Smuzhiyun child2 = successor->rb_right;
161*4882a593Smuzhiyun augment->copy(node, successor);
162*4882a593Smuzhiyun } else {
163*4882a593Smuzhiyun /*
164*4882a593Smuzhiyun * Case 3: node's successor is leftmost under
165*4882a593Smuzhiyun * node's right child subtree
166*4882a593Smuzhiyun *
167*4882a593Smuzhiyun * (n) (s)
168*4882a593Smuzhiyun * / \ / \
169*4882a593Smuzhiyun * (x) (y) -> (x) (y)
170*4882a593Smuzhiyun * / /
171*4882a593Smuzhiyun * (p) (p)
172*4882a593Smuzhiyun * / /
173*4882a593Smuzhiyun * (s) (c)
174*4882a593Smuzhiyun * \
175*4882a593Smuzhiyun * (c)
176*4882a593Smuzhiyun */
177*4882a593Smuzhiyun do {
178*4882a593Smuzhiyun parent = successor;
179*4882a593Smuzhiyun successor = tmp;
180*4882a593Smuzhiyun tmp = tmp->rb_left;
181*4882a593Smuzhiyun } while (tmp);
182*4882a593Smuzhiyun parent->rb_left = child2 = successor->rb_right;
183*4882a593Smuzhiyun successor->rb_right = child;
184*4882a593Smuzhiyun rb_set_parent(child, successor);
185*4882a593Smuzhiyun augment->copy(node, successor);
186*4882a593Smuzhiyun augment->propagate(parent, successor);
187*4882a593Smuzhiyun }
188*4882a593Smuzhiyun
189*4882a593Smuzhiyun successor->rb_left = tmp = node->rb_left;
190*4882a593Smuzhiyun rb_set_parent(tmp, successor);
191*4882a593Smuzhiyun
192*4882a593Smuzhiyun pc = node->__rb_parent_color;
193*4882a593Smuzhiyun tmp = __rb_parent(pc);
194*4882a593Smuzhiyun __rb_change_child(node, successor, tmp, root);
195*4882a593Smuzhiyun if (child2) {
196*4882a593Smuzhiyun successor->__rb_parent_color = pc;
197*4882a593Smuzhiyun rb_set_parent_color(child2, parent, RB_BLACK);
198*4882a593Smuzhiyun rebalance = NULL;
199*4882a593Smuzhiyun } else {
200*4882a593Smuzhiyun unsigned long pc2 = successor->__rb_parent_color;
201*4882a593Smuzhiyun successor->__rb_parent_color = pc;
202*4882a593Smuzhiyun rebalance = __rb_is_black(pc2) ? parent : NULL;
203*4882a593Smuzhiyun }
204*4882a593Smuzhiyun tmp = successor;
205*4882a593Smuzhiyun }
206*4882a593Smuzhiyun
207*4882a593Smuzhiyun augment->propagate(tmp, NULL);
208*4882a593Smuzhiyun return rebalance;
209*4882a593Smuzhiyun }
210*4882a593Smuzhiyun
211*4882a593Smuzhiyun static __always_inline void
rb_erase_augmented(struct rb_node * node,struct rb_root * root,const struct rb_augment_callbacks * augment)212*4882a593Smuzhiyun rb_erase_augmented(struct rb_node *node, struct rb_root *root,
213*4882a593Smuzhiyun const struct rb_augment_callbacks *augment)
214*4882a593Smuzhiyun {
215*4882a593Smuzhiyun struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
216*4882a593Smuzhiyun if (rebalance)
217*4882a593Smuzhiyun __rb_erase_color(rebalance, root, augment->rotate);
218*4882a593Smuzhiyun }
219*4882a593Smuzhiyun
220*4882a593Smuzhiyun #endif /* _LINUX_RBTREE_AUGMENTED_H */
221