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	 99d4d26551
			
		
	
	
		99d4d26551
		
	
	
	
	
		
			
			While slightly sub-optimal, updating the augmented data while going down the tree during lookup would be faster -- alas the augment interface does not currently allow for that, provide a generic helper to add a node to an augmented cached tree. Signed-off-by: Peter Zijlstra (Intel) <peterz@infradead.org> Signed-off-by: Ingo Molnar <mingo@kernel.org> Link: https://lore.kernel.org/r/20230531124603.862983648@infradead.org
		
			
				
	
	
		
			343 lines
		
	
	
	
		
			10 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			343 lines
		
	
	
	
		
			10 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /* SPDX-License-Identifier: GPL-2.0-or-later */
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| /*
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|   Red Black Trees
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|   (C) 1999  Andrea Arcangeli <andrea@suse.de>
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|   (C) 2002  David Woodhouse <dwmw2@infradead.org>
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|   (C) 2012  Michel Lespinasse <walken@google.com>
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| 
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| 
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|   linux/include/linux/rbtree_augmented.h
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| */
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| 
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| #ifndef _LINUX_RBTREE_AUGMENTED_H
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| #define _LINUX_RBTREE_AUGMENTED_H
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| 
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| #include <linux/compiler.h>
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| #include <linux/rbtree.h>
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| #include <linux/rcupdate.h>
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| 
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| /*
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|  * Please note - only struct rb_augment_callbacks and the prototypes for
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|  * rb_insert_augmented() and rb_erase_augmented() are intended to be public.
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|  * The rest are implementation details you are not expected to depend on.
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|  *
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|  * See Documentation/core-api/rbtree.rst for documentation and samples.
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|  */
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| 
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| struct rb_augment_callbacks {
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| 	void (*propagate)(struct rb_node *node, struct rb_node *stop);
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| 	void (*copy)(struct rb_node *old, struct rb_node *new);
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| 	void (*rotate)(struct rb_node *old, struct rb_node *new);
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| };
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| 
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| extern void __rb_insert_augmented(struct rb_node *node, struct rb_root *root,
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| 	void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
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| 
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| /*
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|  * Fixup the rbtree and update the augmented information when rebalancing.
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|  *
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|  * On insertion, the user must update the augmented information on the path
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|  * leading to the inserted node, then call rb_link_node() as usual and
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|  * rb_insert_augmented() instead of the usual rb_insert_color() call.
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|  * If rb_insert_augmented() rebalances the rbtree, it will callback into
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|  * a user provided function to update the augmented information on the
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|  * affected subtrees.
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|  */
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| static inline void
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| rb_insert_augmented(struct rb_node *node, struct rb_root *root,
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| 		    const struct rb_augment_callbacks *augment)
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| {
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| 	__rb_insert_augmented(node, root, augment->rotate);
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| }
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| 
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| static inline void
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| rb_insert_augmented_cached(struct rb_node *node,
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| 			   struct rb_root_cached *root, bool newleft,
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| 			   const struct rb_augment_callbacks *augment)
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| {
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| 	if (newleft)
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| 		root->rb_leftmost = node;
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| 	rb_insert_augmented(node, &root->rb_root, augment);
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| }
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| 
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| static __always_inline struct rb_node *
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| rb_add_augmented_cached(struct rb_node *node, struct rb_root_cached *tree,
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| 			bool (*less)(struct rb_node *, const struct rb_node *),
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| 			const struct rb_augment_callbacks *augment)
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| {
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| 	struct rb_node **link = &tree->rb_root.rb_node;
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| 	struct rb_node *parent = NULL;
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| 	bool leftmost = true;
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| 
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| 	while (*link) {
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| 		parent = *link;
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| 		if (less(node, parent)) {
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| 			link = &parent->rb_left;
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| 		} else {
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| 			link = &parent->rb_right;
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| 			leftmost = false;
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| 		}
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| 	}
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| 
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| 	rb_link_node(node, parent, link);
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| 	augment->propagate(parent, NULL); /* suboptimal */
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| 	rb_insert_augmented_cached(node, tree, leftmost, augment);
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| 
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| 	return leftmost ? node : NULL;
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| }
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| 
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| /*
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|  * Template for declaring augmented rbtree callbacks (generic case)
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|  *
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|  * RBSTATIC:    'static' or empty
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|  * RBNAME:      name of the rb_augment_callbacks structure
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|  * RBSTRUCT:    struct type of the tree nodes
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|  * RBFIELD:     name of struct rb_node field within RBSTRUCT
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|  * RBAUGMENTED: name of field within RBSTRUCT holding data for subtree
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|  * RBCOMPUTE:   name of function that recomputes the RBAUGMENTED data
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|  */
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| 
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| #define RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME,				\
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| 			     RBSTRUCT, RBFIELD, RBAUGMENTED, RBCOMPUTE)	\
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| static inline void							\
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| RBNAME ## _propagate(struct rb_node *rb, struct rb_node *stop)		\
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| {									\
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| 	while (rb != stop) {						\
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| 		RBSTRUCT *node = rb_entry(rb, RBSTRUCT, RBFIELD);	\
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| 		if (RBCOMPUTE(node, true))				\
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| 			break;						\
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| 		rb = rb_parent(&node->RBFIELD);				\
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| 	}								\
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| }									\
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| static inline void							\
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| RBNAME ## _copy(struct rb_node *rb_old, struct rb_node *rb_new)		\
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| {									\
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| 	RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD);		\
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| 	RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD);		\
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| 	new->RBAUGMENTED = old->RBAUGMENTED;				\
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| }									\
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| static void								\
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| RBNAME ## _rotate(struct rb_node *rb_old, struct rb_node *rb_new)	\
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| {									\
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| 	RBSTRUCT *old = rb_entry(rb_old, RBSTRUCT, RBFIELD);		\
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| 	RBSTRUCT *new = rb_entry(rb_new, RBSTRUCT, RBFIELD);		\
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| 	new->RBAUGMENTED = old->RBAUGMENTED;				\
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| 	RBCOMPUTE(old, false);						\
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| }									\
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| RBSTATIC const struct rb_augment_callbacks RBNAME = {			\
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| 	.propagate = RBNAME ## _propagate,				\
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| 	.copy = RBNAME ## _copy,					\
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| 	.rotate = RBNAME ## _rotate					\
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| };
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| 
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| /*
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|  * Template for declaring augmented rbtree callbacks,
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|  * computing RBAUGMENTED scalar as max(RBCOMPUTE(node)) for all subtree nodes.
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|  *
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|  * RBSTATIC:    'static' or empty
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|  * RBNAME:      name of the rb_augment_callbacks structure
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|  * RBSTRUCT:    struct type of the tree nodes
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|  * RBFIELD:     name of struct rb_node field within RBSTRUCT
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|  * RBTYPE:      type of the RBAUGMENTED field
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|  * RBAUGMENTED: name of RBTYPE field within RBSTRUCT holding data for subtree
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|  * RBCOMPUTE:   name of function that returns the per-node RBTYPE scalar
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|  */
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| 
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| #define RB_DECLARE_CALLBACKS_MAX(RBSTATIC, RBNAME, RBSTRUCT, RBFIELD,	      \
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| 				 RBTYPE, RBAUGMENTED, RBCOMPUTE)	      \
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| static inline bool RBNAME ## _compute_max(RBSTRUCT *node, bool exit)	      \
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| {									      \
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| 	RBSTRUCT *child;						      \
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| 	RBTYPE max = RBCOMPUTE(node);					      \
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| 	if (node->RBFIELD.rb_left) {					      \
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| 		child = rb_entry(node->RBFIELD.rb_left, RBSTRUCT, RBFIELD);   \
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| 		if (child->RBAUGMENTED > max)				      \
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| 			max = child->RBAUGMENTED;			      \
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| 	}								      \
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| 	if (node->RBFIELD.rb_right) {					      \
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| 		child = rb_entry(node->RBFIELD.rb_right, RBSTRUCT, RBFIELD);  \
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| 		if (child->RBAUGMENTED > max)				      \
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| 			max = child->RBAUGMENTED;			      \
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| 	}								      \
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| 	if (exit && node->RBAUGMENTED == max)				      \
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| 		return true;						      \
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| 	node->RBAUGMENTED = max;					      \
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| 	return false;							      \
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| }									      \
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| RB_DECLARE_CALLBACKS(RBSTATIC, RBNAME,					      \
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| 		     RBSTRUCT, RBFIELD, RBAUGMENTED, RBNAME ## _compute_max)
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| 
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| 
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| #define	RB_RED		0
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| #define	RB_BLACK	1
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| 
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| #define __rb_parent(pc)    ((struct rb_node *)(pc & ~3))
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| 
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| #define __rb_color(pc)     ((pc) & 1)
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| #define __rb_is_black(pc)  __rb_color(pc)
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| #define __rb_is_red(pc)    (!__rb_color(pc))
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| #define rb_color(rb)       __rb_color((rb)->__rb_parent_color)
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| #define rb_is_red(rb)      __rb_is_red((rb)->__rb_parent_color)
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| #define rb_is_black(rb)    __rb_is_black((rb)->__rb_parent_color)
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| 
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| static inline void rb_set_parent(struct rb_node *rb, struct rb_node *p)
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| {
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| 	rb->__rb_parent_color = rb_color(rb) + (unsigned long)p;
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| }
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| 
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| static inline void rb_set_parent_color(struct rb_node *rb,
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| 				       struct rb_node *p, int color)
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| {
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| 	rb->__rb_parent_color = (unsigned long)p + color;
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| }
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| 
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| static inline void
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| __rb_change_child(struct rb_node *old, struct rb_node *new,
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| 		  struct rb_node *parent, struct rb_root *root)
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| {
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| 	if (parent) {
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| 		if (parent->rb_left == old)
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| 			WRITE_ONCE(parent->rb_left, new);
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| 		else
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| 			WRITE_ONCE(parent->rb_right, new);
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| 	} else
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| 		WRITE_ONCE(root->rb_node, new);
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| }
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| 
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| static inline void
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| __rb_change_child_rcu(struct rb_node *old, struct rb_node *new,
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| 		      struct rb_node *parent, struct rb_root *root)
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| {
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| 	if (parent) {
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| 		if (parent->rb_left == old)
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| 			rcu_assign_pointer(parent->rb_left, new);
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| 		else
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| 			rcu_assign_pointer(parent->rb_right, new);
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| 	} else
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| 		rcu_assign_pointer(root->rb_node, new);
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| }
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| 
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| extern void __rb_erase_color(struct rb_node *parent, struct rb_root *root,
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| 	void (*augment_rotate)(struct rb_node *old, struct rb_node *new));
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| 
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| static __always_inline struct rb_node *
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| __rb_erase_augmented(struct rb_node *node, struct rb_root *root,
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| 		     const struct rb_augment_callbacks *augment)
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| {
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| 	struct rb_node *child = node->rb_right;
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| 	struct rb_node *tmp = node->rb_left;
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| 	struct rb_node *parent, *rebalance;
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| 	unsigned long pc;
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| 
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| 	if (!tmp) {
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| 		/*
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| 		 * Case 1: node to erase has no more than 1 child (easy!)
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| 		 *
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| 		 * Note that if there is one child it must be red due to 5)
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| 		 * and node must be black due to 4). We adjust colors locally
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| 		 * so as to bypass __rb_erase_color() later on.
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| 		 */
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| 		pc = node->__rb_parent_color;
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| 		parent = __rb_parent(pc);
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| 		__rb_change_child(node, child, parent, root);
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| 		if (child) {
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| 			child->__rb_parent_color = pc;
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| 			rebalance = NULL;
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| 		} else
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| 			rebalance = __rb_is_black(pc) ? parent : NULL;
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| 		tmp = parent;
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| 	} else if (!child) {
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| 		/* Still case 1, but this time the child is node->rb_left */
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| 		tmp->__rb_parent_color = pc = node->__rb_parent_color;
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| 		parent = __rb_parent(pc);
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| 		__rb_change_child(node, tmp, parent, root);
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| 		rebalance = NULL;
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| 		tmp = parent;
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| 	} else {
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| 		struct rb_node *successor = child, *child2;
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| 
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| 		tmp = child->rb_left;
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| 		if (!tmp) {
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| 			/*
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| 			 * Case 2: node's successor is its right child
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| 			 *
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| 			 *    (n)          (s)
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| 			 *    / \          / \
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| 			 *  (x) (s)  ->  (x) (c)
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| 			 *        \
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| 			 *        (c)
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| 			 */
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| 			parent = successor;
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| 			child2 = successor->rb_right;
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| 
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| 			augment->copy(node, successor);
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| 		} else {
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| 			/*
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| 			 * Case 3: node's successor is leftmost under
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| 			 * node's right child subtree
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| 			 *
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| 			 *    (n)          (s)
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| 			 *    / \          / \
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| 			 *  (x) (y)  ->  (x) (y)
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| 			 *      /            /
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| 			 *    (p)          (p)
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| 			 *    /            /
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| 			 *  (s)          (c)
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| 			 *    \
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| 			 *    (c)
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| 			 */
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| 			do {
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| 				parent = successor;
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| 				successor = tmp;
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| 				tmp = tmp->rb_left;
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| 			} while (tmp);
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| 			child2 = successor->rb_right;
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| 			WRITE_ONCE(parent->rb_left, child2);
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| 			WRITE_ONCE(successor->rb_right, child);
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| 			rb_set_parent(child, successor);
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| 
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| 			augment->copy(node, successor);
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| 			augment->propagate(parent, successor);
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| 		}
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| 
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| 		tmp = node->rb_left;
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| 		WRITE_ONCE(successor->rb_left, tmp);
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| 		rb_set_parent(tmp, successor);
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| 
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| 		pc = node->__rb_parent_color;
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| 		tmp = __rb_parent(pc);
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| 		__rb_change_child(node, successor, tmp, root);
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| 
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| 		if (child2) {
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| 			rb_set_parent_color(child2, parent, RB_BLACK);
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| 			rebalance = NULL;
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| 		} else {
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| 			rebalance = rb_is_black(successor) ? parent : NULL;
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| 		}
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| 		successor->__rb_parent_color = pc;
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| 		tmp = successor;
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| 	}
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| 
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| 	augment->propagate(tmp, NULL);
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| 	return rebalance;
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| }
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| 
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| static __always_inline void
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| rb_erase_augmented(struct rb_node *node, struct rb_root *root,
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| 		   const struct rb_augment_callbacks *augment)
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| {
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| 	struct rb_node *rebalance = __rb_erase_augmented(node, root, augment);
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| 	if (rebalance)
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| 		__rb_erase_color(rebalance, root, augment->rotate);
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| }
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| 
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| static __always_inline void
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| rb_erase_augmented_cached(struct rb_node *node, struct rb_root_cached *root,
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| 			  const struct rb_augment_callbacks *augment)
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| {
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| 	if (root->rb_leftmost == node)
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| 		root->rb_leftmost = rb_next(node);
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| 	rb_erase_augmented(node, &root->rb_root, augment);
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| }
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| 
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| #endif	/* _LINUX_RBTREE_AUGMENTED_H */
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