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- /* SPDX-License-Identifier: GPL-2.0-or-later */
- /*
- Red Black Trees
- (C) 1999 Andrea Arcangeli <[email protected]>
- (C) 2002 David Woodhouse <[email protected]>
- (C) 2012 Michel Lespinasse <[email protected]>
- linux/include/linux/rbtree_augmented.h
- */
- #ifndef _LINUX_RBTREE_AUGMENTED_H
- #define _LINUX_RBTREE_AUGMENTED_H
- #include <linux/compiler.h>
- #include <linux/rbtree.h>
- #include <linux/rcupdate.h>
- /*
- * Please note - only struct rb_augment_callbacks and the prototypes for
- * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
- * The rest are implementation details you are not expected to depend on.
- *
- * See Documentation/core-api/rbtree.rst for documentation and samples.
- */
- struct rb_augment_callbacks {
- void (*propagate)(struct rb_node *node, struct rb_node *stop);
- void (*copy)(struct rb_node *old, struct rb_node *new);
- void (*rotate)(struct rb_node *old, struct rb_node *new);
- };
- extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
- void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
- /*
- * Fixup the rbtree and update the augmented information when rebalancing.
- *
- * On insertion, the user must update the augmented information on the path
- * leading to the inserted node, then call rb_link_node() as usual and
- * rb_insert_augmented() instead of the usual rb_insert_color() call.
- * If rb_insert_augmented() rebalances the rbtree, it will callback into
- * a user provided function to update the augmented information on the
- * affected subtrees.
- */
- static inline void
- rb_insert_augmented(struct rb_node *node, struct rb_root *root,
- const struct rb_augment_callbacks *augment)
- {
- __rb_insert_augmented(node, root, augment->rotate);
- }
- static inline void
- rb_insert_augmented_cached(struct rb_node *node,
- struct rb_root_cached *root, bool newleft,
- const struct rb_augment_callbacks *augment)
- {
- if (newleft)
- root->rb_leftmost = node;
- rb_insert_augmented(node, &root->rb_root, augment);
- }
- /*
- * Template for declaring augmented rbtree callbacks (generic case)
- *
- * RBSTATIC: 'static' or empty
- * RBNAME: name of the rb_augment_callbacks structure
- * RBSTRUCT: struct type of the tree nodes
- * RBFIELD: name of struct rb_node field within RBSTRUCT
- * RBAUGMENTED: name of field within RBSTRUCT holding data for subtree
- * RBCOMPUTE: name of function that recomputes the RBAUGMENTED data
- */
- #define RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, \
- RBSTRUCT, RBFIELD, RBAUGMENTED, RBCOMPUTE) \
- static inline void \
- RBNAME ## _propagate(struct rb_node *rb, struct rb_node *stop) \
- { \
- while (rb != stop) { \
- RBSTRUCT *node = rb_entry(rb, RBSTRUCT, RBFIELD); \
- if (RBCOMPUTE(node, true)) \
- break; \
- rb = rb_parent(&node->RBFIELD); \
- } \
- } \
- static inline void \
- RBNAME ## _copy(struct rb_node *rb_old, struct rb_node *rb_new) \
- { \
- RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD); \
- RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD); \
- new->RBAUGMENTED = old->RBAUGMENTED; \
- } \
- static void \
- RBNAME ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new) \
- { \
- RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD); \
- RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD); \
- new->RBAUGMENTED = old->RBAUGMENTED; \
- RBCOMPUTE(old, false); \
- } \
- RBSTATIC const struct rb_augment_callbacks RBNAME = { \
- .propagate = RBNAME ## _propagate, \
- .copy = RBNAME ## _copy, \
- .rotate = RBNAME ## _rotate \
- };
- /*
- * Template for declaring augmented rbtree callbacks,
- * computing RBAUGMENTED scalar as max(RBCOMPUTE(node)) for all subtree nodes.
- *
- * RBSTATIC: 'static' or empty
- * RBNAME: name of the rb_augment_callbacks structure
- * RBSTRUCT: struct type of the tree nodes
- * RBFIELD: name of struct rb_node field within RBSTRUCT
- * RBTYPE: type of the RBAUGMENTED field
- * RBAUGMENTED: name of RBTYPE field within RBSTRUCT holding data for subtree
- * RBCOMPUTE: name of function that returns the per-node RBTYPE scalar
- */
- #define RB_DECLARE_CALLBACKS_MAX(RBSTATIC, RBNAME, RBSTRUCT, RBFIELD, \
- RBTYPE, RBAUGMENTED, RBCOMPUTE) \
- static inline bool RBNAME ## _compute_max(RBSTRUCT *node, bool exit) \
- { \
- RBSTRUCT *child; \
- RBTYPE max = RBCOMPUTE(node); \
- if (node->RBFIELD.rb_left) { \
- child = rb_entry(node->RBFIELD.rb_left, RBSTRUCT, RBFIELD); \
- if (child->RBAUGMENTED > max) \
- max = child->RBAUGMENTED; \
- } \
- if (node->RBFIELD.rb_right) { \
- child = rb_entry(node->RBFIELD.rb_right, RBSTRUCT, RBFIELD); \
- if (child->RBAUGMENTED > max) \
- max = child->RBAUGMENTED; \
- } \
- if (exit && node->RBAUGMENTED == max) \
- return true; \
- node->RBAUGMENTED = max; \
- return false; \
- } \
- RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME, \
- RBSTRUCT, RBFIELD, RBAUGMENTED, RBNAME ## _compute_max)
- #define RB_RED 0
- #define RB_BLACK 1
- #define __rb_parent(pc) ((struct rb_node *)(pc & ~3))
- #define __rb_color(pc) ((pc) & 1)
- #define __rb_is_black(pc) __rb_color(pc)
- #define __rb_is_red(pc) (!__rb_color(pc))
- #define rb_color(rb) __rb_color((rb)->__rb_parent_color)
- #define rb_is_red(rb) __rb_is_red((rb)->__rb_parent_color)
- #define rb_is_black(rb) __rb_is_black((rb)->__rb_parent_color)
- static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
- {
- rb->__rb_parent_color = rb_color(rb) | (unsigned long)p;
- }
- static inline void rb_set_parent_color(struct rb_node *rb,
- struct rb_node *p, int color)
- {
- rb->__rb_parent_color = (unsigned long)p | color;
- }
- static inline void
- __rb_change_child(struct rb_node *old, struct rb_node *new,
- struct rb_node *parent, struct rb_root *root)
- {
- if (parent) {
- if (parent->rb_left == old)
- WRITE_ONCE(parent->rb_left, new);
- else
- WRITE_ONCE(parent->rb_right, new);
- } else
- WRITE_ONCE(root->rb_node, new);
- }
- static inline void
- __rb_change_child_rcu(struct rb_node *old, struct rb_node *new,
- struct rb_node *parent, struct rb_root *root)
- {
- if (parent) {
- if (parent->rb_left == old)
- rcu_assign_pointer(parent->rb_left, new);
- else
- rcu_assign_pointer(parent->rb_right, new);
- } else
- rcu_assign_pointer(root->rb_node, new);
- }
- extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
- void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
- static __always_inline struct rb_node *
- __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
- const struct rb_augment_callbacks *augment)
- {
- struct rb_node *child = node->rb_right;
- struct rb_node *tmp = node->rb_left;
- struct rb_node *parent, *rebalance;
- unsigned long pc;
- if (!tmp) {
- /*
- * Case 1: node to erase has no more than 1 child (easy!)
- *
- * Note that if there is one child it must be red due to 5)
- * and node must be black due to 4). We adjust colors locally
- * so as to bypass __rb_erase_color() later on.
- */
- pc = node->__rb_parent_color;
- parent = __rb_parent(pc);
- __rb_change_child(node, child, parent, root);
- if (child) {
- child->__rb_parent_color = pc;
- rebalance = NULL;
- } else
- rebalance = __rb_is_black(pc) ? parent : NULL;
- tmp = parent;
- } else if (!child) {
- /* Still case 1, but this time the child is node->rb_left */
- tmp->__rb_parent_color = pc = node->__rb_parent_color;
- parent = __rb_parent(pc);
- __rb_change_child(node, tmp, parent, root);
- rebalance = NULL;
- tmp = parent;
- } else {
- struct rb_node *successor = child, *child2;
- tmp = child->rb_left;
- if (!tmp) {
- /*
- * Case 2: node's successor is its right child
- *
- * (n) (s)
- * / \ / \
- * (x) (s) -> (x) (c)
- * \
- * (c)
- */
- parent = successor;
- child2 = successor->rb_right;
- augment->copy(node, successor);
- } else {
- /*
- * Case 3: node's successor is leftmost under
- * node's right child subtree
- *
- * (n) (s)
- * / \ / \
- * (x) (y) -> (x) (y)
- * / /
- * (p) (p)
- * / /
- * (s) (c)
- * \
- * (c)
- */
- do {
- parent = successor;
- successor = tmp;
- tmp = tmp->rb_left;
- } while (tmp);
- child2 = successor->rb_right;
- WRITE_ONCE(parent->rb_left, child2);
- WRITE_ONCE(successor->rb_right, child);
- rb_set_parent(child, successor);
- augment->copy(node, successor);
- augment->propagate(parent, successor);
- }
- tmp = node->rb_left;
- WRITE_ONCE(successor->rb_left, tmp);
- rb_set_parent(tmp, successor);
- pc = node->__rb_parent_color;
- tmp = __rb_parent(pc);
- __rb_change_child(node, successor, tmp, root);
- if (child2) {
- rb_set_parent_color(child2, parent, RB_BLACK);
- rebalance = NULL;
- } else {
- rebalance = rb_is_black(successor) ? parent : NULL;
- }
- successor->__rb_parent_color = pc;
- tmp = successor;
- }
- augment->propagate(tmp, NULL);
- return rebalance;
- }
- static __always_inline void
- rb_erase_augmented(struct rb_node *node, struct rb_root *root,
- const struct rb_augment_callbacks *augment)
- {
- struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
- if (rebalance)
- __rb_erase_color(rebalance, root, augment->rotate);
- }
- static __always_inline void
- rb_erase_augmented_cached(struct rb_node *node, struct rb_root_cached *root,
- const struct rb_augment_callbacks *augment)
- {
- if (root->rb_leftmost == node)
- root->rb_leftmost = rb_next(node);
- rb_erase_augmented(node, &root->rb_root, augment);
- }
- #endif /* _LINUX_RBTREE_AUGMENTED_H */
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