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Diffstat (limited to 'src/libbasic/c-rbtree.h')
| -rw-r--r-- | src/libbasic/c-rbtree.h | 297 |
1 files changed, 297 insertions, 0 deletions
diff --git a/src/libbasic/c-rbtree.h b/src/libbasic/c-rbtree.h new file mode 100644 index 0000000000..20c5515ca1 --- /dev/null +++ b/src/libbasic/c-rbtree.h @@ -0,0 +1,297 @@ +#pragma once + +/*** + This file is part of systemd. See COPYING for details. + + systemd is free software; you can redistribute it and/or modify it + under the terms of the GNU Lesser General Public License as published by + the Free Software Foundation; either version 2.1 of the License, or + (at your option) any later version. + + systemd is distributed in the hope that it will be useful, but + WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public License + along with systemd; If not, see <http://www.gnu.org/licenses/>. +***/ + +/* + * Standalone Red-Black-Tree Implementation in Standard ISO-C11 + * + * This header provides an RB-Tree API, that is fully implemented in ISO-C11 + * and has no external dependencies. Furthermore, tree traversal, memory + * allocations, and key comparisons a fully in control of the API user. The + * implementation only provides the RB-Tree specific rebalancing and coloring. + * + * A tree is represented by the "CRBTree" structure. It contains a *singly* + * field, which is a pointer to the root node. If NULL, the tree is empty. If + * non-NULL, there is at least a single element in the tree. + * + * Each node of the tree is represented by the "CRBNode" structure. It has + * three fields. The @left and @right members can be accessed by the API user + * directly to traverse the tree. The third member is an implementation detail + * and encodes the parent pointer and color of the node. + * API users are required to embed the CRBNode object into their own objects + * and then use offsetof() (i.e., container_of() and friends) to turn CRBNode + * pointers into pointers to their own structure. + */ + +#ifdef __cplusplus +extern "C" { +#endif + +typedef struct CRBNode CRBNode; +typedef struct CRBTree CRBTree; + +/** + * struct CRBNode - Node of a Red-Black Tree + * @__parent_and_color: internal state + * @left: left child, or NULL + * @right: right child, or NULL + * + * Each node in an RB-Tree must embed an CRBNode object. This object contains + * pointers to its left and right child, which can be freely accessed by the + * API user at any time. They are NULL, if the node does not have a left/right + * child. + * + * The @__parent_and_color field must never be accessed directly. It encodes + * the pointer to the parent node, and the color of the node. Use the accessor + * functions instead. + * + * There is no reason to initialize a CRBNode object before linking it. + * However, if you need a boolean state that tells you whether the node is + * linked or not, you should initialize the node via c_rbnode_init() or + * C_RBNODE_INIT. + */ +struct CRBNode { + CRBNode *__parent_and_color; + CRBNode *left; + CRBNode *right; +}; + +#define C_RBNODE_INIT(_var) { .__parent_and_color = &(_var) } + +CRBNode *c_rbnode_leftmost(CRBNode *n); +CRBNode *c_rbnode_rightmost(CRBNode *n); +CRBNode *c_rbnode_next(CRBNode *n); +CRBNode *c_rbnode_prev(CRBNode *n); + +/** + * struct CRBTree - Red-Black Tree + * @root: pointer to the root node, or NULL + * + * Each Red-Black Tree is rooted in an CRBTree object. This object contains a + * pointer to the root node of the tree. The API user is free to access the + * @root member at any time, and use it to traverse the tree. + * + * To initialize an RB-Tree, set it to NULL / all zero. + */ +struct CRBTree { + CRBNode *root; +}; + +CRBNode *c_rbtree_first(CRBTree *t); +CRBNode *c_rbtree_last(CRBTree *t); + +void c_rbtree_add(CRBTree *t, CRBNode *p, CRBNode **l, CRBNode *n); +void c_rbtree_remove(CRBTree *t, CRBNode *n); + +/** + * c_rbnode_init() - mark a node as unlinked + * @n: node to operate on + * + * This marks the node @n as unlinked. The node will be set to a valid state + * that can never happen if the node is linked in a tree. Furthermore, this + * state is fully known to the implementation, and as such handled gracefully + * in all cases. + * + * You are *NOT* required to call this on your node. c_rbtree_add() can handle + * uninitialized nodes just fine. However, calling this allows to use + * c_rbnode_is_linked() to check for the state of a node. Furthermore, + * iterators and accessors can be called on initialized (yet unlinked) nodes. + * + * Use the C_RBNODE_INIT macro if you want to initialize static variables. + */ +static inline void c_rbnode_init(CRBNode *n) { + *n = (CRBNode)C_RBNODE_INIT(*n); +} + +/** + * c_rbnode_is_linked() - check whether a node is linked + * @n: node to check, or NULL + * + * This checks whether the passed node is linked. If you pass NULL, or if the + * node is not linked into a tree, this will return false. Otherwise, this + * returns true. + * + * Note that you must have either linked the node or initialized it, before + * calling this function. Never call this function on uninitialized nodes. + * Furthermore, removing a node via c_rbtree_remove() does *NOT* mark the node + * as unlinked. You have to call c_rbnode_init() yourself after removal, or use + * the c_rbtree_remove_init() helper. + * + * Return: true if the node is linked, false if not. + */ +static inline _Bool c_rbnode_is_linked(CRBNode *n) { + return n && n->__parent_and_color != n; +} + +/** + * c_rbnode_parent() - return parent pointer + * @n node to access + * + * This returns a pointer to the parent of the given node @n. If @n does not + * have a parent, NULL is returned. If @n is not linked, @n itself is returned. + * + * You should not call this on unlinked or uninitialized nodes! If you do, you + * better know how its semantics. + * + * Return: Pointer to parent. + */ +static inline CRBNode *c_rbnode_parent(CRBNode *n) { + return (CRBNode*)((unsigned long)n->__parent_and_color & ~1UL); +} + +/** + * c_rbtree_remove_init() - safely remove node from tree and reinitialize it + * @t: tree to operate on + * @n: node to remove, or NULL + * + * This is almost the same as c_rbtree_remove(), but extends it slightly, to be + * more convenient to use in many cases: + * - if @n is unlinked or NULL, this is a no-op + * - @n is reinitialized after being removed + */ +static inline void c_rbtree_remove_init(CRBTree *t, CRBNode *n) { + if (c_rbnode_is_linked(n)) { + c_rbtree_remove(t, n); + c_rbnode_init(n); + } +} + +/** + * CRBCompareFunc - compare a node to a key + * @t: tree where the node is linked to + * @k: key to compare + * @n: node to compare + * + * If you use the tree-traversal helpers (which are optional), you need to + * provide this callback so they can compare nodes in a tree to the key you + * look for. + * + * The tree @t is provided as optional context to this callback. The key you + * look for is provided as @k, the current node that should be compared to is + * provided as @n. This function should work like strcmp(), that is, return -1 + * if @key orders before @n, 0 if both compare equal, and 1 if it orders after + * @n. + */ +typedef int (*CRBCompareFunc) (CRBTree *t, void *k, CRBNode *n); + +/** + * c_rbtree_find_node() - find node + * @t: tree to search through + * @f: comparison function + * @k: key to search for + * + * This searches through @t for a node that compares equal to @k. The function + * @f must be provided by the caller, which is used to compare nodes to @k. See + * the documentation of CRBCompareFunc for details. + * + * If there are multiple entries that compare equal to @k, this will return a + * pseudo-randomly picked node. If you need stable lookup functions for trees + * where duplicate entries are allowed, you better code your own lookup. + * + * Return: Pointer to matching node, or NULL. + */ +static inline CRBNode *c_rbtree_find_node(CRBTree *t, CRBCompareFunc f, const void *k) { + CRBNode *i; + + assert(t); + assert(f); + + i = t->root; + while (i) { + int v = f(t, (void *)k, i); + if (v < 0) + i = i->left; + else if (v > 0) + i = i->right; + else + return i; + } + + return NULL; +} + +/** + * c_rbtree_find_entry() - find entry + * @_t: tree to search through + * @_f: comparison function + * @_k: key to search for + * @_t: type of the structure that embeds the nodes + * @_o: name of the node-member in type @_t + * + * This is very similar to c_rbtree_find_node(), but instead of returning a + * pointer to the CRBNode, it returns a pointer to the surrounding object. This + * object must embed the CRBNode object. The type of the surrounding object + * must be given as @_t, and the name of the embedded CRBNode member as @_o. + * + * See c_rbtree_find_node() for more details. + * + * Return: Pointer to found entry, NULL if not found. + */ +#define c_rbtree_find_entry(_m, _f, _k, _t, _o) \ + ((_t *)(((char *)c_rbtree_find_node((_m), (_f), (_k)) ?: \ + (char *)NULL + offsetof(_t, _o)) - offsetof(_t, _o))) + +/** + * c_rbtree_find_slot() - find slot to insert new node + * @t: tree to search through + * @f: comparison function + * @k: key to search for + * @p: output storage for parent pointer + * + * This searches through @t just like c_rbtree_find_node() does. However, + * instead of returning a pointer to a node that compares equal to @k, this + * searches for a slot to insert a node with key @k. A pointer to the slot is + * returned, and a pointer to the parent of the slot is stored in @p. Both + * can be passed directly to c_rbtree_add(), together with your node to insert. + * + * If there already is a node in the tree, that compares equal to @k, this will + * return NULL and store the conflicting node in @p. In all other cases, + * this will return a pointer (non-NULL) to the empty slot to insert the node + * at. @p will point to the parent node of that slot. + * + * If you want trees that allow duplicate nodes, you better code your own + * insertion function. + * + * Return: Pointer to slot to insert node, or NULL on conflicts. + */ +static inline CRBNode **c_rbtree_find_slot(CRBTree *t, CRBCompareFunc f, const void *k, CRBNode **p) { + CRBNode **i; + + assert(t); + assert(f); + assert(p); + + i = &t->root; + *p = NULL; + while (*i) { + int v = f(t, (void *)k, *i); + *p = *i; + if (v < 0) + i = &(*i)->left; + else if (v > 0) + i = &(*i)->right; + else + return NULL; + } + + return i; +} + +#ifdef __cplusplus +} +#endif |