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+#ifndef __INCLUDED_RBTREE_H__
+#define __INCLUDED_RBTREE_H__
+
+/** \file rbtree.h
+ * Declaration of associated structures and functions for a simple, intrusive
+ * red-black tree implementation.
+ */
+
+#ifdef __cplusplus
+extern "C" {
+#endif /* __cplusplus */
+
+#include <stdlib.h>
+#include <assert.h>
+
+/** \defgroup rb_tree_compiler_prims Compiler Abstractions
+ * Primitives used to abstract compiler-specific syntax for common details used in
+ * providing hints to the compiler for optimization or linker details.
+ * @{
+ */
+
+/**
+ * Macro to check if a given assertion about an argument is true
+ */
+#define RB_ASSERT_ARG(x) \
+ do { \
+ if (RB_UNLIKELY(!(x))) { \
+ assert(#x && 0); \
+ return RB_BAD_ARG; \
+ } \
+ } while (0)
+
+/**
+ * The tagged branch is unlikely to be taken
+ */
+#ifdef _WIN32
+#define RB_UNLIKELY(x) x
+#else
+#define RB_UNLIKELY(x) __builtin_expect(!!(x), 0)
+#endif
+/**@}*/
+
+/** \defgroup rb_tree_state State Structures
+ * Structures that are used to represent state of a red-black tree, including the
+ * state of the tree itself, comparison functions used to determine how the tree
+ * is to be traversed, and representations of red-black tree nodes themselves.
+ * @{
+ */
+
+/**
+ * Structure that represents a node in a red-black tree. Embed this in your own
+ * structure in order to add your structure to the given red-black tree.
+ * Users of the rb_tree_node would embed it something like
+ * \code{.c}
+ struct my_sample_struct {
+ char *name;
+ int data;
+ struct rb_tree_node rnode;
+ };
+ * \endcode
+ *
+ * \note No user of `struct rb_tree_node` should ever modify or inspect any
+ * members of the structure.
+ */
+struct rb_tree_node {
+ /**
+ * The left child (`NULL` if empty)
+ */
+ struct rb_tree_node *left;
+
+ /**
+ * The right child (`NULL` if empty)
+ */
+ struct rb_tree_node *right;
+
+ /**
+ * The parent of this node (`NULL` if at root)
+ */
+ struct rb_tree_node *parent;
+
+ /**
+ * The key for this node
+ */
+ const void *key;
+
+ /**
+ * The color of the node
+ */
+ int color;
+};
+
+/**
+ * Pointer to a function to compare two keys, and returns as follows:
+ * - (0, +inf] if lhs > rhs
+ * - 0 if lhs == rhs
+ * - [-inf, 0) if lhs < rhs
+ */
+typedef int (*rb_cmp_func_t)(const void *lhs, const void *rhs);
+
+/**
+ * Pointer to a comparison function that allows passing along state.
+ * Return values are interpreted as follows:
+ * (0, +inf] if lhs > rhs
+ * 0 if lhs == rhs
+ * [-inf, 0) if lhs < rhs
+ */
+typedef int (*rb_cmp_func_ex_t)(void *state, const void *lhs, const void *rhs);
+
+/**
+ * Structure representing an RB tree's associated state. Contains all
+ * the information needed to manage the lifecycle of a RB tree.
+ * \note Typically users should not directly manipulate the structure,
+ * but rather use the provided accessor functions.
+ */
+struct rb_tree {
+ /**
+ * The root of the tree
+ */
+ struct rb_tree_node *root;
+
+ /**
+ * Predicate used for traversing the tree
+ */
+ rb_cmp_func_ex_t compare;
+
+ /**
+ * The right-most node of the rb-tree
+ */
+ struct rb_tree_node *rightmost;
+
+ /**
+ * Private state that can be used by the rb-tree owner
+ */
+ void *state;
+};
+
+/**@} rb_tree_state */
+
+/** \defgroup rb_result Function Results and Error Handling
+ * @{
+ */
+/** \typedef rb_result_t
+ * Value of a returned result code from a red-black tree function.
+ */
+typedef int rb_result_t;
+
+/** \defgroup rb_result_code Result Codes
+ * Error codes that can be returned from any function that returns an rb_result_t.
+ * @{
+ */
+
+/**
+ * Function was successful
+ */
+#define RB_OK 0x0
+/**
+ * Element was not found
+ */
+#define RB_NOT_FOUND 0x1
+/**
+ * Bad argument provided to function (typically unexpected NULL)
+ */
+#define RB_BAD_ARG 0x2
+/**
+ * Node is a duplicate of an existing node
+ */
+#define RB_DUPLICATE 0x3
+
+/**@} rb_result_code */
+/**@} rb_result */
+
+/** \brief Helper to get a pointer to a containing structure.
+ * Given a pointer to an rb_tree_node, a target type and a member name,
+ * return a pointer to the structure containing the `struct rb_tree_node`.
+ * \code{.c}
+ struct sample {
+ const char *name;
+ struct rb_tree_node node;
+ };
+
+ void test(void)
+ {
+ struct sample samp = { .name = "Test 123" };
+ struct rb_tree_node *samp_node = &(samp.node);
+ struct sample *samp2 = RB_CONTAINER_OF(samp_node, struct sample, node);
+
+ assert(&samp == samp2);
+ }
+ * \endcode
+ * \param x The pointer to the node
+ * \param type The type of the containing structure
+ * \param memb The name of the `struct rb_tree_node` in the containing structure
+ * \return Pointer to the containing structure of the specified type
+ */
+#define RB_CONTAINER_OF(x, type, memb) \
+ ({ \
+ const __typeof__( ((type *)0)->memb ) *__member = (x); \
+ (type *)( (char *)__member - __offsetof__(type, memb) ); \
+ })
+
+
+/** \defgroup rb_functions Functions for Manipulating Red-Black Trees
+ * All functions associated with manipulating Red-Black trees using `struct rb_tree`,
+ * inluding lifecycle functions and member manipulation and state checking functions.
+ * @{
+ */
+
+/**
+ * \brief Construct a new, empty red-black tree, with extended state
+ * Given a region of memory at least the size of a struct rb_tree to
+ * store the red-black tree metadata, update it to contain an initialized, empty
+ * red-black tree, with given private state.
+ * \param tree Pointer to the new tree.
+ * \param compare Function used to traverse the tree.
+ * \param state The private state to be passed to the compare function
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_new_ex(struct rb_tree *tree, rb_cmp_func_ex_t compare, void *state);
+
+/**
+ * \brief Construct a new, empty red-black tree.
+ * Given a region of memory at least the size of a struct rb_tree to
+ * store the red-black tree metadata, update it to contain an initialized, empty
+ * red-black tree.
+ * \param tree Pointer to the new tree.
+ * \param compare Function used to traverse the tree.
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_new(struct rb_tree *tree,
+ rb_cmp_func_t compare);
+
+/**
+ * \brief Destroy a Red-Black tree.
+ * Clean up the state structure, clearing out the state of the tree
+ * so that it no longer can be used.
+ * \note Assumes that external callers will deallocate all nodes through
+ * some application-specific mechanism.
+ * \param tree The reference to the pointer to the tree itself.
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_destroy(struct rb_tree *tree);
+
+/**
+ * \brief Check if an red-black tree is empty (has no nodes).
+ * If no nodes are present, returns a non-zero value in `is_empty` -- returns
+ * 0 if there are nodes present.
+ * \param tree The tree to check
+ * \param is_empty nonzero on true, 0 otherwise
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_empty(struct rb_tree *tree, int *is_empty);
+
+/**
+ * \brief Find a node in the Red-Black tree given the specified key.
+ * Given a key, search the RB-tree iteratively until the specified key is found.
+ * This traversal is in O(log n) time, per the properties of a binary search tree.
+ * \param tree The RB-tree to search
+ * \param key The key to search for
+ * \param value a reference to a pointer to receive the pointer to the rb_tree_node if key is found
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_find(struct rb_tree *tree,
+ const void *key,
+ struct rb_tree_node **value);
+
+/**
+ * \brief Insert a node into the tree.
+ * Given a node and key, insert the node into the red-black tree and rebalance
+ * the tree if appropriate. Insertion is O(log n) time, with two tree traversals
+ * possible -- one for insertion (guaranteed) and one for rebalancing.
+ * \param tree the RB tree to insert the node into
+ * \param key The key for the node (must live as long as the node itself is in the tree)
+ * \param node the node to be inserted into the tree
+ * \return RB_OK on sucess, an error code otherwise
+ */
+rb_result_t rb_tree_insert(struct rb_tree *tree,
+ const void *key,
+ struct rb_tree_node *node);
+
+/**
+ * \brief Remove the specified node from the Red-Black tree.
+ * Given a pointer to the node, splice the node out of the tree, then, if applicable
+ * rebalance the tree so the Red-Black properties are maintained.
+ * \param tree The tree we want to remove the node from
+ * \param node The the node we want to remove
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_remove(struct rb_tree *tree,
+ struct rb_tree_node *node);
+
+/**
+ * \brief Find a node. If not found, insert the candidate.
+ * Find a node with the given key. If the node is found, return it by
+ * reference, without modifying the tree. If the node is not found,
+ * insert the provided candidate node.
+ * \note This function always will return in *value the node inserted
+ * or the existing node. If you want to check if the candidate
+ * node was inserted, check if `*value == new_candidate`
+ *
+ * \param tree The tree in question
+ * \param key The key to search for
+ * \param new_candidate The candidate node to insert
+ * \param value The value at the given location
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_find_or_insert(struct rb_tree *tree,
+ void *key,
+ struct rb_tree_node *new_candidate,
+ struct rb_tree_node **value);
+
+/**
+ * \brief Find a node. If not found, insert the candidate.
+ * Find a node with the given key. If the node is found, return it by
+ * reference, without modifying the tree. If the node is not found,
+ * insert the provided candidate node.
+ * \note This function always will return in *value the node inserted
+ * or the existing node. If you want to check if the candidate
+ * node was inserted, check if `*value == new_candidate`
+ *
+ * \param tree The tree in question
+ * \param key The key to search for
+ * \param new_candidate The candidate node to insert
+ * \param value The value at the given location
+ *
+ * \return RB_OK on success, an error code otherwise
+ */
+rb_result_t rb_tree_find_or_insert(struct rb_tree *tree,
+ void *key,
+ struct rb_tree_node *new_candidate,
+ struct rb_tree_node **value);
+/**
+ * \brief Get the rightmost (greatest relative to predicate) node.
+ * Return the rightmost (i.e. greatest relative to predicate) node of the Red-Black tree.
+ */
+static inline
+rb_result_t rb_tree_get_rightmost(struct rb_tree *tree,
+ struct rb_tree_node **rightmost)
+{
+ if ( (NULL == tree) || (NULL == rightmost) ) {
+ return RB_BAD_ARG;
+ }
+
+ *rightmost = tree->rightmost;
+
+ return RB_OK;
+}
+
+
+/**
+ * Find the minimum of the given tree/subtree rooted at the given node.
+ */
+static inline
+rb_result_t __rb_tree_find_minimum(struct rb_tree_node *root,
+ struct rb_tree_node **min)
+{
+ struct rb_tree_node *x = root;
+
+ while (x->left != NULL) {
+ x = x->left;
+ }
+
+ *min = x;
+
+ return RB_OK;
+}
+
+/**
+ * Find the maximum of the given tree/subtree rooted at the given node.
+ */
+static inline
+rb_result_t __rb_tree_find_maximum(struct rb_tree_node *root,
+ struct rb_tree_node **max)
+{
+ struct rb_tree_node *x = root;
+
+ while (x->right != NULL) {
+ x = x->right;
+ }
+
+ *max = x;
+
+ return RB_OK;
+}
+
+/**
+ * Find the successor (greater than, relative to predicate) node of the given node.
+ */
+static inline
+rb_result_t rb_tree_find_successor(struct rb_tree *tree,
+ struct rb_tree_node *node,
+ struct rb_tree_node **successor)
+{
+ rb_result_t ret = RB_OK;
+
+ RB_ASSERT_ARG(tree != NULL);
+ RB_ASSERT_ARG(node != NULL);
+ RB_ASSERT_ARG(successor != NULL);
+
+ struct rb_tree_node *x = node;
+
+ if (x->right != NULL) {
+ __rb_tree_find_minimum(x->right, successor);
+ goto done;
+ }
+
+ struct rb_tree_node *y = x->parent;
+
+ while (y != NULL && (x == y->right)) {
+ x = y;
+ y = y->parent;
+ }
+
+ *successor = y;
+
+done:
+ return ret;
+}
+
+/**
+ * Find the predecessor (less than, relative to predicate) node of the given node.
+ */
+static inline
+rb_result_t rb_tree_find_predecessor(struct rb_tree *tree,
+ struct rb_tree_node *node,
+ struct rb_tree_node **pred)
+{
+ rb_result_t ret = RB_OK;
+ struct rb_tree_node *x = node;
+
+ RB_ASSERT_ARG(tree != NULL);
+ RB_ASSERT_ARG(node != NULL);
+ RB_ASSERT_ARG(pred != NULL);
+
+ if (x->left != NULL) {
+ __rb_tree_find_maximum(x->left, pred);
+ goto done;
+ }
+
+ struct rb_tree_node *y = x->parent;
+
+ while (y != NULL && (x == y->left)) {
+ x = y;
+ y = y->parent;
+ }
+
+ *pred = y;
+
+done:
+ return ret;
+}
+
+/**@} rb_functions */
+
+#ifdef __cplusplus
+} // extern "C"
+#endif /* __cplusplus */
+
+#endif /* __INCLUDED_RBTREE_H__ */
+