diff options
| -rw-r--r-- | lib/rbtree.c | 208 |
1 files changed, 115 insertions, 93 deletions
diff --git a/lib/rbtree.c b/lib/rbtree.c index eb823a31099..a38e473d8fe 100644 --- a/lib/rbtree.c +++ b/lib/rbtree.c @@ -39,7 +39,8 @@ * 5), then the longest possible path due to 4 is 2B. * * We shall indicate color with case, where black nodes are uppercase and red - * nodes will be lowercase. + * nodes will be lowercase. Unknown color nodes shall be drawn as red within + * parentheses and have some accompanying text comment. */ #define RB_RED 0 @@ -48,17 +49,11 @@ #define rb_color(r) ((r)->__rb_parent_color & 1) #define rb_is_red(r) (!rb_color(r)) #define rb_is_black(r) rb_color(r) -#define rb_set_red(r) do { (r)->__rb_parent_color &= ~1; } while (0) -#define rb_set_black(r) do { (r)->__rb_parent_color |= 1; } while (0) 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_color(struct rb_node *rb, int color) -{ - rb->__rb_parent_color = (rb->__rb_parent_color & ~1) | color; -} static inline void rb_set_parent_color(struct rb_node *rb, struct rb_node *p, int color) @@ -71,52 +66,6 @@ static inline struct rb_node *rb_red_parent(struct rb_node *red) return (struct rb_node *)red->__rb_parent_color; } -static void __rb_rotate_left(struct rb_node *node, struct rb_root *root) -{ - struct rb_node *right = node->rb_right; - struct rb_node *parent = rb_parent(node); - - if ((node->rb_right = right->rb_left)) - rb_set_parent(right->rb_left, node); - right->rb_left = node; - - rb_set_parent(right, parent); - - if (parent) - { - if (node == parent->rb_left) - parent->rb_left = right; - else - parent->rb_right = right; - } - else - root->rb_node = right; - rb_set_parent(node, right); -} - -static void __rb_rotate_right(struct rb_node *node, struct rb_root *root) -{ - struct rb_node *left = node->rb_left; - struct rb_node *parent = rb_parent(node); - - if ((node->rb_left = left->rb_right)) - rb_set_parent(left->rb_right, node); - left->rb_right = node; - - rb_set_parent(left, parent); - - if (parent) - { - if (node == parent->rb_right) - parent->rb_right = left; - else - parent->rb_left = left; - } - else - root->rb_node = left; - rb_set_parent(node, left); -} - /* * Helper function for rotations: * - old's parent and color get assigned to new @@ -257,7 +206,7 @@ EXPORT_SYMBOL(rb_insert_color); static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, struct rb_root *root) { - struct rb_node *other; + struct rb_node *sibling, *tmp1, *tmp2; while (true) { /* @@ -270,63 +219,136 @@ static void __rb_erase_color(struct rb_node *node, struct rb_node *parent, * and tree rotations as per one of the 4 cases below. */ if (node && rb_is_red(node)) { - rb_set_black(node); + rb_set_parent_color(node, parent, RB_BLACK); break; } else if (!parent) { break; } else if (parent->rb_left == node) { - other = parent->rb_right; - if (rb_is_red(other)) - { - rb_set_black(other); - rb_set_red(parent); - __rb_rotate_left(parent, root); - other = parent->rb_right; + sibling = parent->rb_right; + if (rb_is_red(sibling)) { + /* + * Case 1 - left rotate at parent + * + * P S + * / \ / \ + * N s --> p Sr + * / \ / \ + * Sl Sr N Sl + */ + parent->rb_right = tmp1 = sibling->rb_left; + sibling->rb_left = parent; + rb_set_parent_color(tmp1, parent, RB_BLACK); + __rb_rotate_set_parents(parent, sibling, root, + RB_RED); + sibling = tmp1; } - if (!other->rb_right || rb_is_black(other->rb_right)) { - if (!other->rb_left || - rb_is_black(other->rb_left)) { - rb_set_red(other); + tmp1 = sibling->rb_right; + if (!tmp1 || rb_is_black(tmp1)) { + tmp2 = sibling->rb_left; + if (!tmp2 || rb_is_black(tmp2)) { + /* + * Case 2 - sibling color flip + * (p could be either color here) + * + * (p) (p) + * / \ / \ + * N S --> N s + * / \ / \ + * Sl Sr Sl Sr + * + * This leaves us violating 5), so + * recurse at p. If p is red, the + * recursion will just flip it to black + * and exit. If coming from Case 1, + * p is known to be red. + */ + rb_set_parent_color(sibling, parent, + RB_RED); node = parent; parent = rb_parent(node); continue; } - rb_set_black(other->rb_left); - rb_set_red(other); - __rb_rotate_right(other, root); - other = parent->rb_right; + /* + * Case 3 - right rotate at sibling + * (p could be either color here) + * + * (p) (p) + * / \ / \ + * N S --> N Sl + * / \ \ + * sl Sr s + * \ + * Sr + */ + sibling->rb_left = tmp1 = tmp2->rb_right; + tmp2->rb_right = sibling; + parent->rb_right = tmp2; + if (tmp1) + rb_set_parent_color(tmp1, sibling, + RB_BLACK); + tmp1 = sibling; + sibling = tmp2; } - rb_set_color(other, rb_color(parent)); - rb_set_black(parent); - rb_set_black(other->rb_right); - __rb_rotate_left(parent, root); + /* + * Case 4 - left rotate at parent + color flips + * (p and sl could be either color here. + * After rotation, p becomes black, s acquires + * p's color, and sl keeps its color) + * + * (p) (s) + * / \ / \ + * N S --> P Sr + * / \ / \ + * (sl) sr N (sl) + */ + parent->rb_right = tmp2 = sibling->rb_left; + sibling->rb_left = parent; + rb_set_parent_color(tmp1, sibling, RB_BLACK); + if (tmp2) + rb_set_parent(tmp2, parent); + __rb_rotate_set_parents(parent, sibling, root, + RB_BLACK); break; } else { - other = parent->rb_left; - if (rb_is_red(other)) - { - rb_set_black(other); - rb_set_red(parent); - __rb_rotate_right(parent, root); - other = parent->rb_left; + sibling = parent->rb_left; + if (rb_is_red(sibling)) { + /* Case 1 - right rotate at parent */ + parent->rb_left = tmp1 = sibling->rb_right; + sibling->rb_right = parent; + rb_set_parent_color(tmp1, parent, RB_BLACK); + __rb_rotate_set_parents(parent, sibling, root, + RB_RED); + sibling = tmp1; } - if (!other->rb_left || rb_is_black(other->rb_left)) { - if (!other->rb_right || - rb_is_black(other->rb_right)) { - rb_set_red(other); + tmp1 = sibling->rb_left; + if (!tmp1 || rb_is_black(tmp1)) { + tmp2 = sibling->rb_right; + if (!tmp2 || rb_is_black(tmp2)) { + /* Case 2 - sibling color flip */ + rb_set_parent_color(sibling, parent, + RB_RED); node = parent; parent = rb_parent(node); continue; } - rb_set_black(other->rb_right); - rb_set_red(other); - __rb_rotate_left(other, root); - other = parent->rb_left; + /* Case 3 - right rotate at sibling */ + sibling->rb_right = tmp1 = tmp2->rb_left; + tmp2->rb_left = sibling; + parent->rb_left = tmp2; + if (tmp1) + rb_set_parent_color(tmp1, sibling, + RB_BLACK); + tmp1 = sibling; + sibling = tmp2; } - rb_set_color(other, rb_color(parent)); - rb_set_black(parent); - rb_set_black(other->rb_left); - __rb_rotate_right(parent, root); + /* Case 4 - left rotate at parent + color flips */ + parent->rb_left = tmp2 = sibling->rb_right; + sibling->rb_right = parent; + rb_set_parent_color(tmp1, sibling, RB_BLACK); + if (tmp2) + rb_set_parent(tmp2, parent); + __rb_rotate_set_parents(parent, sibling, root, + RB_BLACK); break; } } |