X-Git-Url: https://wimlib.net/git/?p=wimlib;a=blobdiff_plain;f=src%2Frbtree.c;h=71a2c533e1fbbbdaec30e99bf67225402f5ab8c3;hp=465d7148400f6cbcd1fba68feeedc069e814dae3;hb=ff190487fa0823a3228fd4a073ceff67727b9266;hpb=85cc44d618877b8dbedf56fd8f5454a948a636a3 diff --git a/src/rbtree.c b/src/rbtree.c index 465d7148..71a2c533 100644 --- a/src/rbtree.c +++ b/src/rbtree.c @@ -21,8 +21,7 @@ linux/lib/rbtree.c */ -#include "rbtree_augmented.h" -#include "util.h" +#include "rbtree.h" /* * red-black trees properties: http://en.wikipedia.org/wiki/Rbtree @@ -44,6 +43,35 @@ * parentheses and have some accompanying text comment. */ +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); +}; + +#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_set_black(struct rb_node *rb) { rb->__rb_parent_color |= RB_BLACK; @@ -54,6 +82,19 @@ static inline struct rb_node *rb_red_parent(struct rb_node *red) return (struct rb_node *)red->__rb_parent_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) + parent->rb_left = new; + else + parent->rb_right = new; + } else + root->rb_node = new; +} + /* * Helper function for rotations: * - old's parent and color get assigned to new @@ -69,132 +110,7 @@ __rb_rotate_set_parents(struct rb_node *old, struct rb_node *new, __rb_change_child(old, new, parent, root); } -static ALWAYS_INLINE void -__rb_insert(struct rb_node *node, struct rb_root *root, - void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) -{ - struct rb_node *parent = rb_red_parent(node), *gparent, *tmp; - - while (true) { - /* - * Loop invariant: node is red - * - * If there is a black parent, we are done. - * Otherwise, take some corrective action as we don't - * want a red root or two consecutive red nodes. - */ - if (!parent) { - rb_set_parent_color(node, NULL, RB_BLACK); - break; - } else if (rb_is_black(parent)) - break; - - gparent = rb_red_parent(parent); - - tmp = gparent->rb_right; - if (parent != tmp) { /* parent == gparent->rb_left */ - if (tmp && rb_is_red(tmp)) { - /* - * Case 1 - color flips - * - * G g - * / \ / \ - * p u --> P U - * / / - * n N - * - * However, since g's parent might be red, and - * 4) does not allow this, we need to recurse - * at g. - */ - rb_set_parent_color(tmp, gparent, RB_BLACK); - rb_set_parent_color(parent, gparent, RB_BLACK); - node = gparent; - parent = rb_parent(node); - rb_set_parent_color(node, parent, RB_RED); - continue; - } - - tmp = parent->rb_right; - if (node == tmp) { - /* - * Case 2 - left rotate at parent - * - * G G - * / \ / \ - * p U --> n U - * \ / - * n p - * - * This still leaves us in violation of 4), the - * continuation into Case 3 will fix that. - */ - parent->rb_right = tmp = node->rb_left; - node->rb_left = parent; - if (tmp) - rb_set_parent_color(tmp, parent, - RB_BLACK); - rb_set_parent_color(parent, node, RB_RED); - augment_rotate(parent, node); - parent = node; - tmp = node->rb_right; - } - - /* - * Case 3 - right rotate at gparent - * - * G P - * / \ / \ - * p U --> n g - * / \ - * n U - */ - gparent->rb_left = tmp; /* == parent->rb_right */ - parent->rb_right = gparent; - if (tmp) - rb_set_parent_color(tmp, gparent, RB_BLACK); - __rb_rotate_set_parents(gparent, parent, root, RB_RED); - augment_rotate(gparent, parent); - break; - } else { - tmp = gparent->rb_left; - if (tmp && rb_is_red(tmp)) { - /* Case 1 - color flips */ - rb_set_parent_color(tmp, gparent, RB_BLACK); - rb_set_parent_color(parent, gparent, RB_BLACK); - node = gparent; - parent = rb_parent(node); - rb_set_parent_color(node, parent, RB_RED); - continue; - } - - tmp = parent->rb_left; - if (node == tmp) { - /* Case 2 - right rotate at parent */ - parent->rb_left = tmp = node->rb_right; - node->rb_right = parent; - if (tmp) - rb_set_parent_color(tmp, parent, - RB_BLACK); - rb_set_parent_color(parent, node, RB_RED); - augment_rotate(parent, node); - parent = node; - tmp = node->rb_left; - } - - /* Case 3 - left rotate at gparent */ - gparent->rb_right = tmp; /* == parent->rb_left */ - parent->rb_left = gparent; - if (tmp) - rb_set_parent_color(tmp, gparent, RB_BLACK); - __rb_rotate_set_parents(gparent, parent, root, RB_RED); - augment_rotate(gparent, parent); - break; - } - } -} - -ALWAYS_INLINE void +static inline void __rb_erase_color(struct rb_node *parent, struct rb_root *root, void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) { @@ -356,6 +272,231 @@ __rb_erase_color(struct rb_node *parent, struct rb_root *root, } } +static inline void +rb_erase_augmented(struct rb_node *node, struct rb_root *root, + const struct rb_augment_callbacks *augment) +{ + struct rb_node *child = node->rb_right, *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); + parent->rb_left = child2 = successor->rb_right; + successor->rb_right = child; + rb_set_parent(child, successor); + augment->copy(node, successor); + augment->propagate(parent, successor); + } + + successor->rb_left = tmp = node->rb_left; + rb_set_parent(tmp, successor); + + pc = node->__rb_parent_color; + tmp = __rb_parent(pc); + __rb_change_child(node, successor, tmp, root); + if (child2) { + successor->__rb_parent_color = pc; + rb_set_parent_color(child2, parent, RB_BLACK); + rebalance = NULL; + } else { + unsigned long pc2 = successor->__rb_parent_color; + successor->__rb_parent_color = pc; + rebalance = __rb_is_black(pc2) ? parent : NULL; + } + tmp = successor; + } + + augment->propagate(tmp, NULL); + if (rebalance) + __rb_erase_color(rebalance, root, augment->rotate); +} + + +static inline void +__rb_insert(struct rb_node *node, struct rb_root *root, + void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) +{ + struct rb_node *parent = rb_red_parent(node), *gparent, *tmp; + + while (true) { + /* + * Loop invariant: node is red + * + * If there is a black parent, we are done. + * Otherwise, take some corrective action as we don't + * want a red root or two consecutive red nodes. + */ + if (!parent) { + rb_set_parent_color(node, NULL, RB_BLACK); + break; + } else if (rb_is_black(parent)) + break; + + gparent = rb_red_parent(parent); + + tmp = gparent->rb_right; + if (parent != tmp) { /* parent == gparent->rb_left */ + if (tmp && rb_is_red(tmp)) { + /* + * Case 1 - color flips + * + * G g + * / \ / \ + * p u --> P U + * / / + * n N + * + * However, since g's parent might be red, and + * 4) does not allow this, we need to recurse + * at g. + */ + rb_set_parent_color(tmp, gparent, RB_BLACK); + rb_set_parent_color(parent, gparent, RB_BLACK); + node = gparent; + parent = rb_parent(node); + rb_set_parent_color(node, parent, RB_RED); + continue; + } + + tmp = parent->rb_right; + if (node == tmp) { + /* + * Case 2 - left rotate at parent + * + * G G + * / \ / \ + * p U --> n U + * \ / + * n p + * + * This still leaves us in violation of 4), the + * continuation into Case 3 will fix that. + */ + parent->rb_right = tmp = node->rb_left; + node->rb_left = parent; + if (tmp) + rb_set_parent_color(tmp, parent, + RB_BLACK); + rb_set_parent_color(parent, node, RB_RED); + augment_rotate(parent, node); + parent = node; + tmp = node->rb_right; + } + + /* + * Case 3 - right rotate at gparent + * + * G P + * / \ / \ + * p U --> n g + * / \ + * n U + */ + gparent->rb_left = tmp; /* == parent->rb_right */ + parent->rb_right = gparent; + if (tmp) + rb_set_parent_color(tmp, gparent, RB_BLACK); + __rb_rotate_set_parents(gparent, parent, root, RB_RED); + augment_rotate(gparent, parent); + break; + } else { + tmp = gparent->rb_left; + if (tmp && rb_is_red(tmp)) { + /* Case 1 - color flips */ + rb_set_parent_color(tmp, gparent, RB_BLACK); + rb_set_parent_color(parent, gparent, RB_BLACK); + node = gparent; + parent = rb_parent(node); + rb_set_parent_color(node, parent, RB_RED); + continue; + } + + tmp = parent->rb_left; + if (node == tmp) { + /* Case 2 - right rotate at parent */ + parent->rb_left = tmp = node->rb_right; + node->rb_right = parent; + if (tmp) + rb_set_parent_color(tmp, parent, + RB_BLACK); + rb_set_parent_color(parent, node, RB_RED); + augment_rotate(parent, node); + parent = node; + tmp = node->rb_left; + } + + /* Case 3 - left rotate at gparent */ + gparent->rb_right = tmp; /* == parent->rb_left */ + parent->rb_left = gparent; + if (tmp) + rb_set_parent_color(tmp, gparent, RB_BLACK); + __rb_rotate_set_parents(gparent, parent, root, RB_RED); + augment_rotate(gparent, parent); + break; + } + } +} + + /* * Non-augmented rbtree manipulation functions. * @@ -380,118 +521,3 @@ void rb_erase(struct rb_node *node, struct rb_root *root) { rb_erase_augmented(node, root, &dummy_callbacks); } - -/* - * Augmented rbtree manipulation functions. - * - * This instantiates the same ALWAYS_INLINE functions as in the non-augmented - * case, but this time with user-defined callbacks. - */ - -void __rb_insert_augmented(struct rb_node *node, struct rb_root *root, - void (*augment_rotate)(struct rb_node *old, struct rb_node *new)) -{ - __rb_insert(node, root, augment_rotate); -} - -/* - * This function returns the first node (in sort order) of the tree. - */ -struct rb_node *rb_first(const struct rb_root *root) -{ - struct rb_node *n; - - n = root->rb_node; - if (!n) - return NULL; - while (n->rb_left) - n = n->rb_left; - return n; -} - -struct rb_node *rb_last(const struct rb_root *root) -{ - struct rb_node *n; - - n = root->rb_node; - if (!n) - return NULL; - while (n->rb_right) - n = n->rb_right; - return n; -} - -struct rb_node *rb_next(const struct rb_node *node) -{ - struct rb_node *parent; - - if (RB_EMPTY_NODE(node)) - return NULL; - - /* - * If we have a right-hand child, go down and then left as far - * as we can. - */ - if (node->rb_right) { - node = node->rb_right; - while (node->rb_left) - node=node->rb_left; - return (struct rb_node *)node; - } - - /* - * No right-hand children. Everything down and left is smaller than us, - * so any 'next' node must be in the general direction of our parent. - * Go up the tree; any time the ancestor is a right-hand child of its - * parent, keep going up. First time it's a left-hand child of its - * parent, said parent is our 'next' node. - */ - while ((parent = rb_parent(node)) && node == parent->rb_right) - node = parent; - - return parent; -} - -struct rb_node *rb_prev(const struct rb_node *node) -{ - struct rb_node *parent; - - if (RB_EMPTY_NODE(node)) - return NULL; - - /* - * If we have a left-hand child, go down and then right as far - * as we can. - */ - if (node->rb_left) { - node = node->rb_left; - while (node->rb_right) - node=node->rb_right; - return (struct rb_node *)node; - } - - /* - * No left-hand children. Go up till we find an ancestor which - * is a right-hand child of its parent. - */ - while ((parent = rb_parent(node)) && node == parent->rb_left) - node = parent; - - return parent; -} - -void rb_replace_node(struct rb_node *victim, struct rb_node *new, - struct rb_root *root) -{ - struct rb_node *parent = rb_parent(victim); - - /* Set the surrounding nodes to point to the replacement */ - __rb_change_child(victim, new, parent, root); - if (victim->rb_left) - rb_set_parent(victim->rb_left, new); - if (victim->rb_right) - rb_set_parent(victim->rb_right, new); - - /* Copy the pointers/colour from the victim to the replacement */ - *new = *victim; -}