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rbtree: low level optimizations in __rb_erase_color()
In __rb_erase_color(), we often already have pointers to the nodes being rotated and/or know what their colors must be, so we can generate more efficient code than the generic __rb_rotate_left() and __rb_rotate_right() functions. Also when the current node is red or when flipping the sibling's color, the parent is already known so we can use the more efficient rb_set_parent_color() function to set the desired color. Signed-off-by: Michel Lespinasse <walken@google.com> Cc: Andrea Arcangeli <aarcange@redhat.com> Acked-by: David Woodhouse <David.Woodhouse@intel.com> Cc: Rik van Riel <riel@redhat.com> Cc: Peter Zijlstra <a.p.zijlstra@chello.nl> Cc: Daniel Santos <daniel.santos@pobox.com> Cc: Jens Axboe <axboe@kernel.dk> Cc: "Eric W. Biederman" <ebiederm@xmission.com> Signed-off-by: Andrew Morton <akpm@linux-foundation.org> Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
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parent
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208
lib/rbtree.c
208
lib/rbtree.c
@ -39,7 +39,8 @@
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* 5), then the longest possible path due to 4 is 2B.
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*
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* We shall indicate color with case, where black nodes are uppercase and red
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* nodes will be lowercase.
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* nodes will be lowercase. Unknown color nodes shall be drawn as red within
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* parentheses and have some accompanying text comment.
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*/
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#define RB_RED 0
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@ -48,17 +49,11 @@
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#define rb_color(r) ((r)->__rb_parent_color & 1)
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#define rb_is_red(r) (!rb_color(r))
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#define rb_is_black(r) rb_color(r)
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#define rb_set_red(r) do { (r)->__rb_parent_color &= ~1; } while (0)
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#define rb_set_black(r) do { (r)->__rb_parent_color |= 1; } while (0)
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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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static inline void rb_set_color(struct rb_node *rb, int color)
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{
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rb->__rb_parent_color = (rb->__rb_parent_color & ~1) | color;
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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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@ -71,52 +66,6 @@ static inline struct rb_node *rb_red_parent(struct rb_node *red)
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return (struct rb_node *)red->__rb_parent_color;
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}
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static void __rb_rotate_left(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *right = node->rb_right;
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struct rb_node *parent = rb_parent(node);
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if ((node->rb_right = right->rb_left))
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rb_set_parent(right->rb_left, node);
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right->rb_left = node;
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rb_set_parent(right, parent);
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if (parent)
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{
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if (node == parent->rb_left)
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parent->rb_left = right;
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else
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parent->rb_right = right;
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}
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else
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root->rb_node = right;
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rb_set_parent(node, right);
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}
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static void __rb_rotate_right(struct rb_node *node, struct rb_root *root)
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{
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struct rb_node *left = node->rb_left;
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struct rb_node *parent = rb_parent(node);
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if ((node->rb_left = left->rb_right))
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rb_set_parent(left->rb_right, node);
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left->rb_right = node;
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rb_set_parent(left, parent);
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if (parent)
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{
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if (node == parent->rb_right)
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parent->rb_right = left;
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else
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parent->rb_left = left;
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}
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else
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root->rb_node = left;
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rb_set_parent(node, left);
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}
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/*
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* Helper function for rotations:
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* - old's parent and color get assigned to new
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@ -257,7 +206,7 @@ EXPORT_SYMBOL(rb_insert_color);
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static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
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struct rb_root *root)
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{
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struct rb_node *other;
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struct rb_node *sibling, *tmp1, *tmp2;
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while (true) {
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/*
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@ -270,63 +219,136 @@ static void __rb_erase_color(struct rb_node *node, struct rb_node *parent,
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* and tree rotations as per one of the 4 cases below.
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*/
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if (node && rb_is_red(node)) {
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rb_set_black(node);
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rb_set_parent_color(node, parent, RB_BLACK);
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break;
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} else if (!parent) {
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break;
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} else if (parent->rb_left == node) {
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other = parent->rb_right;
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if (rb_is_red(other))
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{
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rb_set_black(other);
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rb_set_red(parent);
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__rb_rotate_left(parent, root);
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other = parent->rb_right;
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sibling = parent->rb_right;
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if (rb_is_red(sibling)) {
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/*
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* Case 1 - left rotate at parent
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*
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* P S
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* / \ / \
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* N s --> p Sr
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* / \ / \
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* Sl Sr N Sl
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*/
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parent->rb_right = tmp1 = sibling->rb_left;
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sibling->rb_left = parent;
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rb_set_parent_color(tmp1, parent, RB_BLACK);
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__rb_rotate_set_parents(parent, sibling, root,
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RB_RED);
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sibling = tmp1;
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}
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if (!other->rb_right || rb_is_black(other->rb_right)) {
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if (!other->rb_left ||
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rb_is_black(other->rb_left)) {
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rb_set_red(other);
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tmp1 = sibling->rb_right;
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if (!tmp1 || rb_is_black(tmp1)) {
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tmp2 = sibling->rb_left;
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if (!tmp2 || rb_is_black(tmp2)) {
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/*
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* Case 2 - sibling color flip
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* (p could be either color here)
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*
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* (p) (p)
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* / \ / \
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* N S --> N s
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* / \ / \
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* Sl Sr Sl Sr
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*
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* This leaves us violating 5), so
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* recurse at p. If p is red, the
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* recursion will just flip it to black
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* and exit. If coming from Case 1,
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* p is known to be red.
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*/
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rb_set_parent_color(sibling, parent,
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RB_RED);
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node = parent;
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parent = rb_parent(node);
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continue;
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}
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rb_set_black(other->rb_left);
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rb_set_red(other);
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__rb_rotate_right(other, root);
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other = parent->rb_right;
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/*
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* Case 3 - right rotate at sibling
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* (p could be either color here)
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*
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* (p) (p)
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* / \ / \
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* N S --> N Sl
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* / \ \
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* sl Sr s
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* \
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* Sr
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*/
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sibling->rb_left = tmp1 = tmp2->rb_right;
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tmp2->rb_right = sibling;
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parent->rb_right = tmp2;
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if (tmp1)
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rb_set_parent_color(tmp1, sibling,
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RB_BLACK);
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tmp1 = sibling;
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sibling = tmp2;
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}
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rb_set_color(other, rb_color(parent));
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rb_set_black(parent);
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rb_set_black(other->rb_right);
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__rb_rotate_left(parent, root);
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/*
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* Case 4 - left rotate at parent + color flips
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* (p and sl could be either color here.
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* After rotation, p becomes black, s acquires
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* p's color, and sl keeps its color)
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*
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* (p) (s)
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* / \ / \
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* N S --> P Sr
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* / \ / \
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* (sl) sr N (sl)
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*/
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parent->rb_right = tmp2 = sibling->rb_left;
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sibling->rb_left = parent;
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rb_set_parent_color(tmp1, sibling, RB_BLACK);
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if (tmp2)
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rb_set_parent(tmp2, parent);
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__rb_rotate_set_parents(parent, sibling, root,
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RB_BLACK);
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break;
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} else {
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other = parent->rb_left;
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if (rb_is_red(other))
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{
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rb_set_black(other);
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rb_set_red(parent);
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__rb_rotate_right(parent, root);
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other = parent->rb_left;
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sibling = parent->rb_left;
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if (rb_is_red(sibling)) {
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/* Case 1 - right rotate at parent */
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parent->rb_left = tmp1 = sibling->rb_right;
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sibling->rb_right = parent;
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rb_set_parent_color(tmp1, parent, RB_BLACK);
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__rb_rotate_set_parents(parent, sibling, root,
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RB_RED);
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sibling = tmp1;
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}
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if (!other->rb_left || rb_is_black(other->rb_left)) {
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if (!other->rb_right ||
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rb_is_black(other->rb_right)) {
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rb_set_red(other);
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tmp1 = sibling->rb_left;
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if (!tmp1 || rb_is_black(tmp1)) {
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tmp2 = sibling->rb_right;
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if (!tmp2 || rb_is_black(tmp2)) {
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/* Case 2 - sibling color flip */
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rb_set_parent_color(sibling, parent,
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RB_RED);
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node = parent;
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parent = rb_parent(node);
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continue;
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}
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rb_set_black(other->rb_right);
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rb_set_red(other);
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__rb_rotate_left(other, root);
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other = parent->rb_left;
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/* Case 3 - right rotate at sibling */
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sibling->rb_right = tmp1 = tmp2->rb_left;
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tmp2->rb_left = sibling;
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parent->rb_left = tmp2;
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if (tmp1)
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rb_set_parent_color(tmp1, sibling,
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RB_BLACK);
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tmp1 = sibling;
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sibling = tmp2;
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}
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rb_set_color(other, rb_color(parent));
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rb_set_black(parent);
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rb_set_black(other->rb_left);
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__rb_rotate_right(parent, root);
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/* Case 4 - left rotate at parent + color flips */
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parent->rb_left = tmp2 = sibling->rb_right;
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sibling->rb_right = parent;
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rb_set_parent_color(tmp1, sibling, RB_BLACK);
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if (tmp2)
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rb_set_parent(tmp2, parent);
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__rb_rotate_set_parents(parent, sibling, root,
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RB_BLACK);
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break;
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}
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}
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