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+/**
+ * @file rtems/score/rbtree.h
+ *
+ * @brief Constants and Structures Associated with the Red-Black Tree Handler
+ *
+ * This include file contains all the constants and structures associated
+ * with the Red-Black Tree Handler.
+ */
+
+/*
+ * Copyright (c) 2010 Gedare Bloom.
+ *
+ * The license and distribution terms for this file may be
+ * found in the file LICENSE in this distribution or at
+ * http://www.rtems.org/license/LICENSE.
+ */
+
+#ifndef _RTEMS_SCORE_RBTREE_H
+#define _RTEMS_SCORE_RBTREE_H
+
+#include <sys/tree.h>
+#include <rtems/score/basedefs.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/**
+ * @defgroup ScoreRBTree Red-Black Tree Handler
+ *
+ * @ingroup Score
+ *
+ * The Red-Black Tree Handler is used to manage sets of entities. This handler
+ * provides two data structures. The rbtree Node data structure is included
+ * as the first part of every data structure that will be placed on
+ * a RBTree. The second data structure is rbtree Control which is used
+ * to manage a set of rbtree Nodes.
+ */
+/**@{*/
+
+/**
+ * @brief Red-black tree node.
+ *
+ * This is used to manage each node (element) which is placed on a red-black
+ * tree.
+ */
+typedef struct RBTree_Node {
+ RB_ENTRY(RBTree_Node) Node;
+} RBTree_Node;
+
+/**
+ * @brief Red-black tree control.
+ *
+ * This is used to manage a red-black tree. A red-black tree consists of a
+ * tree of zero or more nodes.
+ */
+typedef RB_HEAD(RBTree_Control, RBTree_Node) RBTree_Control;
+
+/**
+ * @brief Integer type for compare results.
+ *
+ * The type is large enough to represent pointers and 32-bit signed integers.
+ *
+ * @see RBTree_Compare.
+ */
+typedef long RBTree_Compare_result;
+
+/**
+ * @brief Compares two red-black tree nodes.
+ *
+ * @param[in] first The first node.
+ * @param[in] second The second node.
+ *
+ * @retval positive The key value of the first node is greater than the one of
+ * the second node.
+ * @retval 0 The key value of the first node is equal to the one of the second
+ * node.
+ * @retval negative The key value of the first node is less than the one of the
+ * second node.
+ */
+typedef RBTree_Compare_result ( *RBTree_Compare )(
+ const RBTree_Node *first,
+ const RBTree_Node *second
+);
+
+/**
+ * @brief Initializer for an empty red-black tree with designator @a name.
+ */
+#define RBTREE_INITIALIZER_EMPTY( name ) \
+ RB_INITIALIZER( name )
+
+/**
+ * @brief Definition for an empty red-black tree with designator @a name.
+ */
+#define RBTREE_DEFINE_EMPTY( name ) \
+ RBTree_Control name = RBTREE_INITIALIZER_EMPTY( name )
+
+/**
+ * @brief Tries to find a node for the specified key in the tree.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] the_node A node specifying the key.
+ * @param[in] compare The node compare function.
+ * @param[in] is_unique If true, then return the first node with a key equal to
+ * the one of the node specified if it exits, else return the last node if it
+ * exists.
+ *
+ * @retval node A node corresponding to the key. If the tree is not unique
+ * and contains duplicate keys, the set of duplicate keys acts as FIFO.
+ * @retval NULL No node exists in the tree for the key.
+ */
+RBTree_Node *_RBTree_Find(
+ const RBTree_Control *the_rbtree,
+ const RBTree_Node *the_node,
+ RBTree_Compare compare,
+ bool is_unique
+);
+
+/**
+ * @brief Inserts the node into the red-black tree.
+ *
+ * In case the node is already a node of a tree, then this function yields
+ * unpredictable results.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] the_node The node to insert.
+ * @param[in] compare The node compare function.
+ * @param[in] is_unique If true, then reject nodes with a duplicate key, else
+ * insert nodes in FIFO order in case the key value is equal to existing nodes.
+ *
+ * @retval NULL Successfully inserted.
+ * @retval existing_node This is a unique insert and there exists a node with
+ * an equal key in the tree already.
+ */
+RBTree_Node *_RBTree_Insert(
+ RBTree_Control *the_rbtree,
+ RBTree_Node *the_node,
+ RBTree_Compare compare,
+ bool is_unique
+);
+
+/**
+ * @brief Rebalances the red-black tree after insertion of the node.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] the_node The most recently inserted node.
+ */
+void _RBTree_Insert_color(
+ RBTree_Control *the_rbtree,
+ RBTree_Node *the_node
+);
+
+/**
+ * @brief Adds a child node to a parent node.
+ *
+ * @param[in] child The child node.
+ * @param[in] parent The parent node.
+ * @param[in] link The child node link of the parent node.
+ */
+RTEMS_INLINE_ROUTINE void _RBTree_Add_child(
+ RBTree_Node *child,
+ RBTree_Node *parent,
+ RBTree_Node **link
+)
+{
+ RB_SET( child, parent, Node );
+ *link = child;
+}
+
+/**
+ * @brief Inserts the node into the red-black tree using the specified parent
+ * node and link.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] the_node The node to insert.
+ * @param[in] parent The parent node.
+ * @param[in] link The child node link of the parent node.
+ *
+ * @code
+ * #include <rtems/score/rbtree.h>
+ *
+ * typedef struct {
+ * int value;
+ * RBTree_Node Node;
+ * } Some_Node;
+ *
+ * bool _Some_Less(
+ * const RBTree_Node *a,
+ * const RBTree_Node *b
+ * )
+ * {
+ * const Some_Node *aa = RTEMS_CONTAINER_OF( a, Some_Node, Node );
+ * const Some_Node *bb = RTEMS_CONTAINER_OF( b, Some_Node, Node );
+ *
+ * return aa->value < bb->value;
+ * }
+ *
+ * void _Some_Insert(
+ * RBTree_Control *the_rbtree,
+ * Some_Node *the_node
+ * )
+ * {
+ * RBTree_Node **link = _RBTree_Root_reference( the_rbtree );
+ * RBTree_Node *parent = NULL;
+ *
+ * while ( *link != NULL ) {
+ * parent = *link;
+ *
+ * if ( _Some_Less( &the_node->Node, parent ) ) {
+ * link = _RBTree_Left_reference( parent );
+ * } else {
+ * link = _RBTree_Right_reference( parent );
+ * }
+ * }
+ *
+ * _RBTree_Insert_with_parent( the_rbtree, &the_node->Node, parent, link );
+ * }
+ * @endcode
+ */
+RTEMS_INLINE_ROUTINE void _RBTree_Insert_with_parent(
+ RBTree_Control *the_rbtree,
+ RBTree_Node *the_node,
+ RBTree_Node *parent,
+ RBTree_Node **link
+)
+{
+ _RBTree_Add_child( the_node, parent, link );
+ _RBTree_Insert_color( the_rbtree, the_node );
+}
+
+/**
+ * @brief Extracts (removes) the node from the red-black tree.
+ *
+ * This function does not set the node off-tree. In case this is desired, then
+ * call _RBTree_Set_off_tree() after the extraction.
+ *
+ * In case the node to extract is not a node of the tree, then this function
+ * yields unpredictable results.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] the_node The node to extract.
+ */
+void _RBTree_Extract(
+ RBTree_Control *the_rbtree,
+ RBTree_Node *the_node
+);
+
+/**
+ * @brief Sets a red-black tree node as off-tree.
+ *
+ * Do not use this function on nodes which are a part of a tree.
+ *
+ * @param[in] the_node The node to set off-tree.
+ *
+ * @see _RBTree_Is_node_off_tree().
+ */
+RTEMS_INLINE_ROUTINE void _RBTree_Set_off_tree( RBTree_Node *the_node )
+{
+ RB_COLOR( the_node, Node ) = -1;
+}
+
+/**
+ * @brief Returns true, if this red-black tree node is off-tree, and false
+ * otherwise.
+ *
+ * @param[in] the_node The node to test.
+ *
+ * @retval true The node is not a part of a tree (off-tree).
+ * @retval false Otherwise.
+ *
+ * @see _RBTree_Set_off_tree().
+ */
+RTEMS_INLINE_ROUTINE bool _RBTree_Is_node_off_tree(
+ const RBTree_Node *the_node
+)
+{
+ return RB_COLOR( the_node, Node ) == -1;
+}
+
+/**
+ * @brief Returns a pointer to root node of the red-black tree.
+ *
+ * The root node may change after insert or extract operations.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ *
+ * @retval NULL The tree is empty.
+ * @retval root The root node.
+ *
+ * @see _RBTree_Is_root().
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Root(
+ const RBTree_Control *the_rbtree
+)
+{
+ return RB_ROOT( the_rbtree );
+}
+
+/**
+ * @brief Returns a reference to the root pointer of the red-black tree.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Root_reference(
+ RBTree_Control *the_rbtree
+)
+{
+ return &RB_ROOT( the_rbtree );
+}
+
+/**
+ * @brief Returns a pointer to the parent of this node.
+ *
+ * The node must have a parent, thus it is invalid to use this function for the
+ * root node or a node that is not part of a tree. To test for the root node
+ * compare with _RBTree_Root() or use _RBTree_Is_root().
+ *
+ * @param[in] the_node The node of interest.
+ *
+ * @retval parent The parent of this node.
+ * @retval undefined The node is the root node or not part of a tree.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Parent(
+ const RBTree_Node *the_node
+)
+{
+ return RB_PARENT( the_node, Node );
+}
+
+/**
+ * @brief Return pointer to the left of this node.
+ *
+ * This function returns a pointer to the left node of this node.
+ *
+ * @param[in] the_node is the node to be operated upon.
+ *
+ * @return This method returns the left node on the rbtree.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Left(
+ const RBTree_Node *the_node
+)
+{
+ return RB_LEFT( the_node, Node );
+}
+
+/**
+ * @brief Returns a reference to the left child pointer of the red-black tree
+ * node.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Left_reference(
+ RBTree_Node *the_node
+)
+{
+ return &RB_LEFT( the_node, Node );
+}
+
+/**
+ * @brief Return pointer to the right of this node.
+ *
+ * This function returns a pointer to the right node of this node.
+ *
+ * @param[in] the_node is the node to be operated upon.
+ *
+ * @return This method returns the right node on the rbtree.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Right(
+ const RBTree_Node *the_node
+)
+{
+ return RB_RIGHT( the_node, Node );
+}
+
+/**
+ * @brief Returns a reference to the right child pointer of the red-black tree
+ * node.
+ */
+RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Right_reference(
+ RBTree_Node *the_node
+)
+{
+ return &RB_RIGHT( the_node, Node );
+}
+
+/**
+ * @brief Is the RBTree empty.
+ *
+ * This function returns true if there are no nodes on @a the_rbtree and
+ * false otherwise.
+ *
+ * @param[in] the_rbtree is the rbtree to be operated upon.
+ *
+ * @retval true There are no nodes on @a the_rbtree.
+ * @retval false There are nodes on @a the_rbtree.
+ */
+RTEMS_INLINE_ROUTINE bool _RBTree_Is_empty(
+ const RBTree_Control *the_rbtree
+)
+{
+ return RB_EMPTY( the_rbtree );
+}
+
+/**
+ * @brief Returns true if this node is the root node of a red-black tree, and
+ * false otherwise.
+ *
+ * The root node may change after insert or extract operations. In case the
+ * node is not a node of a tree, then this function yields unpredictable
+ * results.
+ *
+ * @param[in] the_node The node of interest.
+ *
+ * @retval true The node is the root node.
+ * @retval false Otherwise.
+ *
+ * @see _RBTree_Root().
+ */
+RTEMS_INLINE_ROUTINE bool _RBTree_Is_root(
+ const RBTree_Node *the_node
+)
+{
+ return _RBTree_Parent( the_node ) == NULL;
+}
+
+/**
+ * @brief Initialize this RBTree as empty.
+ *
+ * This routine initializes @a the_rbtree to contain zero nodes.
+ */
+RTEMS_INLINE_ROUTINE void _RBTree_Initialize_empty(
+ RBTree_Control *the_rbtree
+)
+{
+ RB_INIT( the_rbtree );
+}
+
+/**
+ * @brief Returns the minimum node of the red-black tree.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ *
+ * @retval NULL The red-black tree is empty.
+ * @retval node The minimum node.
+ */
+RBTree_Node *_RBTree_Minimum( const RBTree_Control *the_rbtree );
+
+/**
+ * @brief Returns the maximum node of the red-black tree.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ *
+ * @retval NULL The red-black tree is empty.
+ * @retval node The maximum node.
+ */
+RBTree_Node *_RBTree_Maximum( const RBTree_Control *the_rbtree );
+
+/**
+ * @brief Returns the predecessor of a node.
+ *
+ * @param[in] node is the node.
+ *
+ * @retval NULL The predecessor does not exist. Otherwise it returns
+ * the predecessor node.
+ */
+RBTree_Node *_RBTree_Predecessor( const RBTree_Node *node );
+
+/**
+ * @brief Returns the successor of a node.
+ *
+ * @param[in] node is the node.
+ *
+ * @retval NULL The successor does not exist. Otherwise the successor node.
+ */
+RBTree_Node *_RBTree_Successor( const RBTree_Node *node );
+
+/**
+ * @brief Replaces a node in the red-black tree without a rebalance.
+ *
+ * @param[in] the_rbtree The red-black tree control.
+ * @param[in] victim The victim node.
+ * @param[in] replacement The replacement node.
+ */
+void _RBTree_Replace_node(
+ RBTree_Control *the_rbtree,
+ RBTree_Node *victim,
+ RBTree_Node *replacement
+);
+
+/**@}*/
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+/* end of include file */