kea/src/lib/datasrc/rbtree.h

// Copyright (C) 2010  Internet Systems Consortium, Inc. ("ISC")
//
// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED "AS IS" AND ISC DISCLAIMS ALL WARRANTIES WITH
// REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY
// AND FITNESS.  IN NO EVENT SHALL ISC BE LIABLE FOR ANY SPECIAL, DIRECT,
// INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
// LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE
// OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
// PERFORMANCE OF THIS SOFTWARE.

#ifndef _RBTREE_H
#define _RBTREE_H 1

//! \file datasrc/rbtree.h
///
/// \note The purpose of the RBTree is to provide a generic map with
///     domain names as the key that can be used by various BIND 10 modules or
///     even by other applications.  However, because of some unresolved design
///     issue, the design and interface are not fixed, and RBTree isn't ready
///     to be used as a base data structure by other modules.

#include <exceptions/exceptions.h>

#include <dns/name.h>
#include <boost/utility.hpp>
#include <boost/shared_ptr.hpp>
#include <exceptions/exceptions.h>
#include <ostream>
#include <algorithm>
#include <cassert>

namespace isc {
namespace datasrc {

namespace helper {

/// \brief Helper function to remove the base domain from super domain.
///
/// The precondition of this function is the super_name contains the
/// sub_name so
/// \code Name a("a.b.c");
/// Name b("b.c");
/// Name c = a - b;
/// \endcode
/// c will contain "a".
///
/// \note Functions in this namespace is not intended to be used outside of
///     RBTree implementation.
inline isc::dns::Name
operator-(const isc::dns::Name& super_name, const isc::dns::Name& sub_name) {
    return (super_name.split(0, super_name.getLabelCount() -
                             sub_name.getLabelCount()));
}
}

/// Forward declare RBTree class here is convinent for following friend
/// class declare inside RBNode and RBTreeNodeChain
template <typename T>
class RBTree;

/// \brief \c RBNode is used by RBTree to store any data related to one domain
///     name.
///
/// This is meant to be used only from RBTree. It is meaningless to inherit it
/// or create instances of it from elsewhere. For that reason, the constructor
/// is private.
///
/// It serves three roles. One is to keep structure of the \c RBTree as a
/// red-black tree. For that purpose, it has left, right and parent pointers
/// and color member. These are private and accessed only from within the tree.
///
/// The second one is to store data for one domain name. The data related
/// functions can be used to access and set the data.
///
/// The third role is to keep the hierarchy of domains. The down pointer points
/// to a subtree of subdomains. Note that we can traverse the hierarchy down,
/// but not up.
///
/// One special kind of node is non-terminal node. It has subdomains with
/// RRsets, but doesn't have any RRsets itself.
template <typename T>
class RBNode : public boost::noncopyable {
private:
    /// The RBNode is meant for use from within RBTree, so it has access to
    /// it.
    friend class RBTree<T>;

    /// \name Constructors
    ///
    /// \note The existence of a RBNode without a RBTree is meaningless.
    ///     Therefore the constructors are private.
    //@{

    /// \brief Default constructor.
    ///
    /// This constructor is provided specifically for generating a special
    /// "null" node.
    RBNode();

    /// \brief Constructor from the node name.
    ///
    /// \param name The *relative* domain name (if this will live inside
    ///     a.b.c and is called d.e.a.b.c, then you pass d.e).
    RBNode(const isc::dns::Name& name);
    //@}

public:
    /// \brief Alias for shared pointer to the data.
    typedef boost::shared_ptr<T> NodeDataPtr;

    /// Node flags.
    ///
    /// Each flag value defines a non default property for a specific node.
    /// These are defined as bitmask type values for the convenience of
    /// internal implementation, but applications are expected to use
    /// each flag separately via the enum definitions.
    ///
    /// All (settable) flags are off by default; they must be explicitly
    /// set to on by the \c setFlag() method.
    enum Flags {
        FLAG_CALLBACK = 1, ///< Callback enabled. See \ref callback
        FLAG_RED = 2, ///< Node color; 1 if node is red, 0 if node is black.
        FLAG_USER1 = 0x80000000U, ///< Application specific flag
        FLAG_USER2 = 0x40000000U, ///< Application specific flag
        FLAG_USER3 = 0x20000000U  ///< Application specific flag
    };
private:
    // Some flag values are expected to be used for internal purposes
    // (e.g., representing the node color) in future versions, so we
    // limit the settable flags via the \c setFlag() method to those
    // explicitly defined in \c Flags.  This constant represents all
    // such flags.
    static const uint32_t SETTABLE_FLAGS = (FLAG_CALLBACK | FLAG_USER1 |
                                            FLAG_USER2 | FLAG_USER3);

public:

    /// \brief Destructor
    ///
    /// It might seem strange that constructors are private and destructor
    /// public, but this is needed because of shared pointers need access
    /// to the destructor.
    ///
    /// You should never call anything like:
    /// \code delete pointer_to_node; \endcode
    /// The RBTree handles both creation and destructoion of nodes.
    ~RBNode();

    /// \name Getter functions.
    //@{
    /// \brief Return the name of current node.
    ///
    /// It's relative to its containing node.
    ///
    /// To get the absolute name of one node, the node path from the top node
    /// to current node has to be recorded.
    const isc::dns::Name& getName() const { return (name_); }

    /// \brief Return the data stored in this node.
    ///
    /// You should not delete the data, it is handled by shared pointers.
    NodeDataPtr& getData() { return (data_); }
    /// \brief Return the data stored in this node.
    const NodeDataPtr& getData() const { return (data_); }

    /// \brief return whether the node has related data.
    ///
    /// There can be empty nodes inside the RBTree. They are usually the
    /// non-terminal domains, but it is possible (yet probably meaningless)
    /// empty nodes anywhere.
    bool isEmpty() const { return (data_.get() == NULL); }

    //@}

    /// \name Setter functions.
    //@{
    /// \brief Set the data stored in the node.
    void setData(const NodeDataPtr& data) { data_ = data; }
    //@}

    /// \name Node flag manipulation methods
    //@{
    /// Get the status of a node flag.
    ///
    /// This method returns whether the given node flag is set (enabled)
    /// on the node.  The \c flag parameter is expected to be one of the
    /// defined \c Flags constants.  For simplicity, the method interface
    /// does not prohibit passing an undefined flag or combined flags, but
    /// the return value in such a case will be meaningless for the caller
    /// (an application would have to use an ugly cast for such an unintended
    /// form of call, which will hopefully avoid accidental misuse).
    ///
    /// \exception None
    /// \param flag The flag to be tested.
    /// \return \c true if the \c flag is set; \c false otherwise.
    bool getFlag(Flags flag) const {
        return ((flags_ & flag) != 0);
    }

    /// Set or clear a node flag.
    ///
    /// This method changes the status of the specified node flag to either
    /// "on" (enabled) or "off" (disabled).  The new status is specified by
    /// the \c on parameter.
    /// Like the \c getFlag() method, \c flag is expected to be one of the
    /// defined \c Flags constants.  If an undefined or unsettable flag is
    /// specified, \c isc::InvalidParameter exception will be thrown.
    ///
    /// \exception isc::InvalidParameter Unsettable flag is specified
    /// \exception None otherwise
    /// \param flag The node flag to be changed.
    /// \param on If \c true, set the flag to on; otherwise set it to off.
    void setFlag(Flags flag, bool on = true) {
        if ((flag & ~SETTABLE_FLAGS) != 0) {
            isc_throw(isc::InvalidParameter,
                      "Unsettable RBTree flag is being set");
        }
        if (on) {
            flags_ |= flag;
        } else {
            flags_ &= ~flag;
        }
    }
    //@}

private:
    /// \name Callback related methods
    ///
    /// See the description of \c RBTree<T>::find() at \ref callback
    /// about callbacks.
    ///
    /// These methods never throw an exception.
    //@{
    /// Return if callback is enabled at the node.
    //@}


    /// \brief Define rbnode color
    enum RBNodeColor {BLACK, RED};
    /// This is a factory class method of a special singleton null node.
    static RBNode<T>* NULL_NODE() {
        static RBNode<T> null_node;
        return (&null_node);
    }

    /// \brief Returns the color of this node
    RBNodeColor getColor() const {
        if ((flags_ & FLAG_RED) != 0) {
            return (RED);
        } else {
            return (BLACK);
        }
    }

    /// \brief Sets the color of this node
    void setColor(const RBNodeColor color) {
        if (color == RED) {
            flags_ |= FLAG_RED;
        } else {
            flags_ &= ~FLAG_RED;
        }
    }

    bool isSubTreeRoot() const {
        return (parent_ == NULL_NODE());
    }

    /// \brief return the next node which is bigger than current node
    /// in the same subtree
    ///
    /// The next successor for this node is the next bigger node in terms of
    /// the DNSSEC order relation within the same single subtree.
    /// Note that it may NOT be the next bigger node in the entire RBTree;
    ///  RBTree is a tree in tree, and the real next node may reside in
    /// an upper or lower subtree of the subtree where this node belongs.
    /// For example, if this node has a sub domain, the real next node is
    /// the smallest node in the sub domain tree.
    ///
    /// If this node is the biggest node within the subtree, this method
    /// returns \c NULL_NODE().
    ///
    /// This method never throws an exception.
    const RBNode<T>* successor() const;

    /// \brief return the next node which is smaller than current node
    /// in the same subtree
    ///
    /// The predecessor for this node is the next smaller node in terms of
    /// the DNSSEC order relation within the same single subtree.
    /// Note that it may NOT be the next smaller node in the entire RBTree;
    /// RBTree is a tree in tree, and the real next node may reside in
    /// an upper or lower subtree of the subtree where this node belongs.
    /// For example, if the predecessor node has a sub domain, the real next
    /// node is the largest node in the sub domain tree.
    ///
    /// If this node is the smallest node within the subtree, this method
    /// returns \c NULL_NODE().
    ///
    /// This method never throws an exception.
    const RBNode<T>* predecessor() const;

    /// \brief private shared implementation of successor and predecessor
    ///
    /// As the two mentioned functions are merely mirror images of each other,
    /// it makes little sense to keep both versions. So this is the body of the
    /// functions and we call it with the correct pointers.
    ///
    /// Not to be called directly, not even by friends.
    ///
    /// The overhead of the member pointers should be optimised out, as this
    /// will probably get completely inlined into predecessor and successor
    /// methods.
    const RBNode<T>* abstractSuccessor(RBNode<T>* RBNode<T>::*left,
                                       RBNode<T>* RBNode<T>::*right) const;

    /// \name Data to maintain the rbtree structure.
    //@{
    RBNode<T>*  parent_;
    RBNode<T>*  left_;
    RBNode<T>*  right_;
    //@}

    /// \brief Relative name of the node.
    isc::dns::Name     name_;
    /// \brief Data stored here.
    NodeDataPtr       data_;

    /// \brief The subdomain tree.
    ///
    /// This points to the root node of trees of subdomains of this domain.
    ///
    /// \par Adding down pointer to \c RBNode has two purposes:
    /// \li Accelerate the search process, with sub domain tree, it splits the
    ///     big flat tree into several hierarchy trees.
    /// \li It saves memory usage as it allows storing only relative names,
    ///     avoiding storage of the same domain labels multiple times.
    RBNode<T>*  down_;

    /// \brief If callback should be called when traversing this node in
    /// RBTree::find().
    ///
    /// \todo It might be needed to put it into more general attributes field.
    uint32_t flags_;
};


// This is only to support NULL nodes.
template <typename T>
RBNode<T>::RBNode() :
    parent_(NULL),
    left_(NULL),
    right_(NULL),
    // dummy name, the value doesn't matter:
    name_(isc::dns::Name::ROOT_NAME()),
    down_(NULL),
    flags_(0)
{
    // Some compilers object to use of "this" in initializer lists.
    parent_ = this;
    left_ = this;
    right_ = this;
    down_ = this;
}

template <typename T>
RBNode<T>::RBNode(const isc::dns::Name& name) :
    parent_(NULL_NODE()),
    left_(NULL_NODE()),
    right_(NULL_NODE()),
    name_(name),
    down_(NULL_NODE()),
    flags_(FLAG_RED)
{
}


template <typename T>
RBNode<T>::~RBNode() {
}

template <typename T>
const RBNode<T>*
RBNode<T>::abstractSuccessor(RBNode<T>* RBNode<T>::*left, RBNode<T>*
                             RBNode<T>::*right) const
{
    // This function is written as a successor. It becomes predecessor if
    // the left and right pointers are swapped. So in case of predecessor,
    // the left pointer points to right and vice versa. Don't get confused
    // by the idea, just imagine the pointers look into a mirror.

    const RBNode<T>* current = this;
    // If it has right node, the successor is the left-most node of the right
    // subtree.
    if (current->*right != RBNode<T>::NULL_NODE()) {
        current = current->*right;
        while (current->*left != RBNode<T>::NULL_NODE()) {
            current = current->*left;
        }
        return (current);
    }

    // Otherwise go up until we find the first left branch on our path to
    // root.  If found, the parent of the branch is the successor.
    // Otherwise, we return the null node
    const RBNode<T>* parent = current->parent_;
    while (parent != RBNode<T>::NULL_NODE() && current == parent->*right) {
        current = parent;
        parent = parent->parent_;
    }
    return (parent);
}

template <typename T>
const RBNode<T>*
RBNode<T>::successor() const {
    return (abstractSuccessor(&RBNode<T>::left_, &RBNode<T>::right_));
}

template <typename T>
const RBNode<T>*
RBNode<T>::predecessor() const {
    // Swap the left and right pointers for the abstractSuccessor
    return (abstractSuccessor(&RBNode<T>::right_, &RBNode<T>::left_));
}

/// \brief RBTreeNodeChain stores detailed information of \c RBTree::find()
/// result.
///
/// - The \c RBNode that was last compared with the search name, and
///   the comparison result at that point in the form of
///   \c isc::dns::NameComparisonResult.
/// - A sequence of nodes that forms a path to the found node.
///
/// The comparison result can be used to handle some rare cases such as
/// empty node processing.
/// The node sequence keeps track of the nodes to reach any given node from
/// the root of RBTree.
///
/// Currently, RBNode does not have "up" pointers in them (i.e., back pointers
/// from the root of one level of tree of trees to the node in the parent
/// tree whose down pointer points to that root node) for memory usage
/// reasons, so there is no other way to find the path back to the root from
/// any given RBNode.
///
/// \note This design may change in future versions.  In particular, it's
/// quite likely we want to have that pointer if we want to optimize name
/// compression by exploiting the structure of the zone.  If and when that
/// happens we should also revisit the need for the chaining.
/// Also, the class name may not be appropriate now that it contains other
/// information than a node "chain", and the chain itself may even be
/// deprecated.  Something like "RBTreeFindContext" may be a better name.
/// This point should be revisited later.
///
/// RBTreeNodeChain is constructed and manipulated only inside the \c RBTree
/// class.
/// \c RBTree uses it as an inner data structure to iterate over the whole
/// RBTree.
/// This is the reason why manipulation methods such as \c push() and \c pop()
/// are private (and not shown in the doxygen document).
template <typename T>
class RBTreeNodeChain {
    /// RBTreeNodeChain is initialized by RBTree, only RBTree has
    /// knowledge to manipulate it.
    friend class RBTree<T>;
public:
    /// \name Constructors and Assignment Operator.
    ///
    /// \note The copy constructor and the assignment operator are
    /// intentionally defined as private, making this class non copyable.
    /// This may have to be changed in a future version with newer need.
    /// For now we explicitly disable copy to avoid accidental copy happens
    /// unintentionally.
    //{@
    /// The default constructor.
    ///
    /// \exception None
    RBTreeNodeChain() : node_count_(0), last_compared_(NULL),
                        // XXX: meaningless initial values:
                        last_comparison_(0, 0,
                                         isc::dns::NameComparisonResult::EQUAL)
    {}

private:
    RBTreeNodeChain(const RBTreeNodeChain<T>&);
    RBTreeNodeChain<T>& operator=(const RBTreeNodeChain<T>&);
    //@}

public:
    /// Clear the state of the chain.
    ///
    /// This method re-initializes the internal state of the chain so that
    /// it can be reused for subsequent operations.
    ///
    /// \exception None
    void clear() {
        node_count_ = 0;
        last_compared_ = NULL;
    }

    /// Return the \c RBNode that was last compared in \c RBTree::find().
    ///
    /// If this chain has been passed to \c RBTree::find() and there has
    /// been name comparison against the search name, the last compared
    /// \c RBNode is recorded within the chain.  This method returns that
    /// node.
    /// If \c RBTree::find() hasn't been called with this chain or name
    /// comparison hasn't taken place (which is possible if the tree is empty),
    /// this method returns \c NULL.
    ///
    /// \exception None
    const RBNode<T>* getLastComparedNode() const {
        return (last_compared_);
    }

    /// Return the result of last name comparison in \c RBTree::find().
    ///
    /// Like \c getLastComparedNode(), \c RBTree::find() records the result
    /// of the last name comparison in the chain.  This method returns the
    /// result.
    /// The return value of this method is only meaningful when comparison
    /// has taken place, i.e, when \c getLastComparedNode() would return a
    /// non \c NULL value.
    ///
    /// \exception None
    const isc::dns::NameComparisonResult& getLastComparisonResult() const {
        return (last_comparison_);
    }

    /// \brief Return the number of levels stored in the chain.
    ///
    /// It's equal to the number of nodes in the chain; for an empty
    /// chain, 0 will be returned.
    ///
    /// \exception None
    unsigned int getLevelCount() const { return (node_count_); }

    /// \brief return the absolute name for the node which this
    /// \c RBTreeNodeChain currently refers to.
    ///
    /// The chain must not be empty.
    ///
    /// \exception isc::BadValue the chain is empty.
    /// \exception std::bad_alloc memory allocation for the new name fails.
    isc::dns::Name getAbsoluteName() const {
        if (isEmpty()) {
            isc_throw(isc::BadValue,
                      "RBTreeNodeChain::getAbsoluteName is called on an empty "
                      "chain");
        }

        const RBNode<T>* top_node = top();
        isc::dns::Name absolute_name = top_node->getName();
        int node_count = node_count_ - 1;
        while (node_count > 0) {
            top_node = nodes_[node_count - 1];
            absolute_name = absolute_name.concatenate(top_node->getName());
            --node_count;
        }
        return (absolute_name);
    }

private:
    // the following private functions check invariants about the internal
    // state using assert() instead of exception.  The state of a chain
    // can only be modified by operations within this file, so if any of the
    // assumptions fails it means an internal bug.

    /// \brief return whether node chain has node in it.
    ///
    /// \exception None
    bool isEmpty() const { return (node_count_ == 0); }

    /// \brief return the top node for the node chain
    ///
    /// RBTreeNodeChain store all the nodes along top node to
    /// root node of RBTree
    ///
    /// \exception None
    const RBNode<T>* top() const {
        assert(!isEmpty());
        return (nodes_[node_count_ - 1]);
    }

    /// \brief pop the top node from the node chain
    ///
    /// After pop, up/super node of original top node will be
    /// the top node
    ///
    /// \exception None
    void pop() {
        assert(!isEmpty());
        --node_count_;
    }

    /// \brief add the node into the node chain
    ///
    /// If the node chain isn't empty, the node should be
    /// the sub domain of the original top node in node chain
    /// otherwise the node should be the root node of RBTree.
    ///
    /// \exception None
    void push(const RBNode<T>* node) {
        assert(node_count_ < RBT_MAX_LEVEL);
        nodes_[node_count_++] = node;
    }

private:
    // The max label count for one domain name is Name::MAX_LABELS (128).
    // Since each node in rbtree stores at least one label, it's also equal
    // to the possible maximum level.
    const static int RBT_MAX_LEVEL = isc::dns::Name::MAX_LABELS;

    int node_count_;
    const RBNode<T>* nodes_[RBT_MAX_LEVEL];
    const RBNode<T>* last_compared_;
    isc::dns::NameComparisonResult last_comparison_;
};


// note: the following class description is documented using multiline comments
// because the verbatim diagram contain a backslash, which could be interpreted
// as escape of newline in singleline comment.
/**
 *  \brief \c RBTree class represents all the domains with the same suffix.
 *      It can be used to store the domains in one zone, for example.
 *
 *  RBTree is a generic map from domain names to any kind of data. Internally,
 *  it uses a red-black tree. However, it isn't one tree containing everything.
 *  Subdomains are trees, so this structure is recursive - trees inside trees.
 *  But, from the interface point of view, it is opaque data structure.
 *
 *  \c RBTree splits the domain space into hierarchy red black trees; nodes
 * in one tree has the same base name. The benefit of this struct is that:
 *  - Enhances the query performace compared with one big flat red black tree.
 *  - Decreases the memory footprint, as it doesn't store the suffix labels
 *      multiple times.
 *
 * Depending on different usage, rbtree will support different search policies.
 * Whether to return an empty node to end user is one policy among them.
 * The default policy is to NOT return an empty node to end user;
 * to change the behavior, specify \c true for the constructor parameter
 * \c returnEmptyNode.
 * \note The search policy only affects the \c find() behavior of RBTree.
 * When inserting one name into RBTree, if the node with the name already
 * exists in the RBTree and it's an empty node which doesn't have any data,
 * the \c insert() method will still return \c ALREADYEXISTS regardless of
 * the search policy.
 *
 * \anchor diagram
 *
 * with the following names:
 *  - a
 *  - b
 *  - c
 *  - x.d.e.f
 *  - z.d.e.f
 *  - g.h
 *  - o.w.y.d.e.f
 *  - p.w.y.d.e.f
 *  - q.w.y.d.e.f
 *
 * the tree will look like:
 *  \verbatim
                                b
                              /   \
                             a    d.e.f
                                    /|\
                                   c | g.h
                                     |
                                    w.y
                                    /|\
                                   x | z
                                     |
                                     p
                                    / \
                                   o   q
   \endverbatim
 *  \todo
 *  - add remove interface
 *  - add iterator to iterate over the whole \c RBTree.  This may be necessary,
 *    for example, to support AXFR.
 */
template <typename T>
class RBTree : public boost::noncopyable {
    friend class RBNode<T>;
public:
    /// \brief The return value for the \c find() and insert() methods
    enum Result {
        SUCCESS,    ///< Insert was successful
        /// \brief The node returned from find mathes exactly the name given
        EXACTMATCH,
        PARTIALMATCH, ///< A superdomain node was found
        NOTFOUND,   ///< Not even any superdomain was found
        /// \brief Returned by insert() if a node of the name already exists
        ALREADYEXISTS,
    };

    /// \name Constructor and Destructor
    //@{
    /// The constructor.
    ///
    /// It never throws an exception.
    explicit RBTree(bool returnEmptyNode = false);

    /// \b Note: RBTree is not intended to be inherited so the destructor
    /// is not virtual
    ~RBTree();
    //@}

    /// \name Find methods
    ///
    /// \brief Find the node that gives a longest match against the given name.
    ///
    /// \anchor find
    ///
    /// These methods search the RBTree for a node whose name is longest
    /// against name. The found node, if any, is returned via the node pointer.
    ///
    /// By default, nodes that don't have data (see RBNode::isEmpty) are
    /// ignored and the result can be NOTFOUND even if there's a node whose
    /// name matches.  If the \c RBTree is constructed with its
    /// \c returnEmptyNode parameter being \c true, empty nodes will also
    /// be match candidates.
    ///
    /// \note Even when \c returnEmptyNode is \c true, not all empty nodes
    /// in terms of the DNS protocol may necessarily be found by this method.
    /// For example, in the \ref diagram shown in the class description,
    /// the name y.d.e.f is logically contained in the tree as part of the
    /// node w.y, but the \c find() variants cannot find the former for
    /// the search key of y.d.e.f, no matter how the \c RBTree is constructed.
    /// The caller of this method must use a different way to identify the
    /// hidden match when necessary.
    ///
    /// These methods involve operations on names that can throw an exception.
    /// If that happens the exception will be propagated to the caller.
    /// The callback function should generally not throw an exception, but
    /// if it throws, the exception will be propagated to the caller.
    ///
    /// The \c name parameter says what should be found. The node parameter
    /// is output-only, and in case of EXACTMATCH or PARTIALMATCH, it is set
    /// to a pointer to the found node.
    ///
    /// They return:
    ///  - EXACTMATCH when a node with the same name as requested exists.
    ///  - PARTIALMATCH when a node with the same name does not exist (or is
    ///    empty), but there's a (nonempty) superdomain of the requested one.
    ///    The superdomain with longest name is returned through the node
    ///    parameter. Beware that if you store a zone in the tree, you may get
    ///    PARTIALMATCH with zone apex when the given domain name is not there.
    ///    You should not try to delegate into another zone in that case.
    ///  - NOTFOUND if there's no node with the same name nor any superdomain
    ///    of it. In that case, node parameter is left intact.
    //@{

    /// \brief Simple find.
    ///
    /// Acts as described in the \ref find section.
    Result find(const isc::dns::Name& name, RBNode<T>** node) const {
        RBTreeNodeChain<T> node_path;
        return (find<void*>(name, node, node_path, NULL, NULL));
    }

    /// \brief Simple find returning immutable node.
    ///
    /// Acts as described in the \ref find section, but returns immutable node
    /// pointer.
    Result find(const isc::dns::Name& name, const RBNode<T>** node) const {
        RBTreeNodeChain<T> node_path;
        RBNode<T> *target_node = NULL;
        Result ret = (find<void*>(name, &target_node, node_path, NULL, NULL));
        if (ret != NOTFOUND) {
            *node = target_node;
        }
        return (ret);
    }

    /// \brief Simple find, with node_path tracking
    ///
    /// Acts as described in the \ref find section.
    Result find(const isc::dns::Name& name, RBNode<T>** node,
                RBTreeNodeChain<T>& node_path) const
    {
        return (find<void*>(name, node, node_path, NULL, NULL));
    }

    /// \brief Simple find returning immutable node, with node_path tracking
    ///
    /// Acts as described in the \ref find section, but returns immutable node
    /// pointer.
    Result find(const isc::dns::Name& name, const RBNode<T>** node,
                RBTreeNodeChain<T>& node_path) const
    {
        RBNode<T> *target_node = NULL;
        Result ret = (find<void*>(name, &target_node, node_path, NULL, NULL));
        if (ret != NOTFOUND) {
            *node = target_node;
        }
        return (ret);
    }

    /// \brief Find with callback and node chain.
    /// \anchor callback
    ///
    /// This version of \c find() is specifically designed for the backend
    /// of the \c InMemoryZoneFinder class, and implements all necessary
    /// features for that purpose.  Other applications shouldn't need these
    /// additional features, and should normally use the simpler versions.
    ///
    /// This version of \c find() calls the callback whenever traversing (on
    /// the way from root down the tree) a marked node on the way down through
    /// the domain namespace (see \c RBNode::FLAG_CALLBACK).
    ///
    /// If you return true from the callback, the search is stopped and a
    /// PARTIALMATCH is returned with the given node. Note that this node
    /// doesn't really need to be the one with longest possible match.
    ///
    /// The callback is not called for the node which matches exactly
    /// (EXACTMATCH is returned). This is typically the last node in the
    /// traversal during a successful search.
    ///
    /// This callback mechanism was designed with zone cut (delegation)
    /// processing in mind. The marked nodes would be the ones at delegation
    /// points. It is not expected that any other applications would need
    /// callbacks; they should use the versions of find without callbacks.
    /// The callbacks are not general functors for the same reason - we don't
    /// expect it to be needed.
    ///
    /// Another special feature of this version is the ability to record
    /// more detailed information regarding the search result.
    ///
    /// This information will be returned via the \c node_path parameter,
    /// which is an object of class \c RBTreeNodeChain.
    /// The passed parameter must be empty.
    ///
    /// On success, the node sequence stored in \c node_path will contain all
    /// the ancestor nodes from the found node towards the root.
    /// For example, if we look for o.w.y.d.e.f in the example \ref diagram,
    /// \c node_path will contain w.y and d.e.f; the \c top() node of the
    /// chain will be o, w.y and d.e.f will be stored below it.
    ///
    /// This feature can be used to get the absolute name for a node;
    /// to do so, we need to travel upside from the node toward the root,
    /// concatenating all ancestor names.  With the current implementation
    /// it's not possible without a node chain, because there is a no pointer
    /// from the root of a subtree to the parent subtree (this may change
    /// in a future version).  A node chain can also be used to find the
    /// next and previous nodes of a given node in the entire RBTree;
    /// the \c nextNode() and \c previousNode() methods take a node
    /// chain as a parameter.
    ///
    /// \exception isc::BadValue node_path is not empty.
    ///
    /// \param name Target to be found
    /// \param node On success (either \c EXACTMATCH or \c PARTIALMATCH)
    ///     it will store a pointer to the matching node
    /// \param node_path Other search details will be stored (see the
    ///        description)
    /// \param callback If non- \c NULL, a call back function to be called
    ///     at marked nodes (see the description).
    /// \param callback_arg A caller supplied argument to be passed to
    ///     \c callback.
    ///
    /// \return As in the description, but in case of callback returning
    ///     \c true, it returns immediately with the current node.
    template <typename CBARG>
    Result find(const isc::dns::Name& name,
                RBNode<T>** node,
                RBTreeNodeChain<T>& node_path,
                bool (*callback)(const RBNode<T>&, CBARG),
                CBARG callback_arg) const;

    /// \brief Simple find returning immutable node.
    ///
    /// Acts as described in the \ref find section, but returns immutable
    /// node pointer.
    template <typename CBARG>
    Result find(const isc::dns::Name& name,
                const RBNode<T>** node,
                RBTreeNodeChain<T>& node_path,
                bool (*callback)(const RBNode<T>&, CBARG),
                CBARG callback_arg) const
    {
        RBNode<T>* target_node = NULL;
        Result ret = find(name, &target_node, node_path, callback,
                          callback_arg);
        if (ret != NOTFOUND) {
            *node = target_node;
        }
        return (ret);
    }
    //@}

    /// \brief return the next bigger node in DNSSEC order from a given node
    /// chain.
    ///
    /// This method identifies the next bigger node of the node currently
    /// referenced in \c node_path and returns it.
    /// This method also updates the passed \c node_path so that it will store
    /// the path for the returned next node.
    /// It will be convenient when we want to iterate over the all nodes
    /// of \c RBTree; we can do this by calling this method repeatedly
    /// starting from the root node.
    ///
    /// \note \c nextNode() will iterate over all the nodes in RBTree including
    /// empty nodes. If empty node isn't desired, it's easy to add logic to
    /// check return node and keep invoking \c nextNode() until the non-empty
    /// node is retrieved.
    ///
    /// \exception isc::BadValue node_path is empty.
    ///
    /// \param node_path A node chain that stores all the nodes along the path
    /// from root to node.
    ///
    /// \return An \c RBNode that is next bigger than \c node; if \c node is
    /// the largest, \c NULL will be returned.
    const RBNode<T>* nextNode(RBTreeNodeChain<T>& node_path) const;

    /// \brief return the next smaller node in DNSSEC order from a node
    ///     searched by RBTree::find().
    ///
    /// This acts similarly to \c nextNode(), but it walks in the other
    /// direction. But unlike \c nextNode(), this can start even if the
    /// node requested by \c find() was not found. In that case, it will
    /// identify the node that is previous to the queried name.
    ///
    /// \note \c previousNode() will iterate over all the nodes in RBTree
    /// including empty nodes. If empty node isn't desired, it's easy to add
    /// logic to check return node and keep invoking \c previousNode() until the
    /// non-empty node is retrieved.
    ///
    /// \exception isc::BadValue node_path is empty.
    ///
    /// \param node_path A node chain that stores all the nodes along the path
    /// from root to node and the result of \c find(). This will get modified.
    /// You should not use the node_path again except for repetitive calls
    /// of this method.
    ///
    /// \return An \c RBNode that is next smaller than \c node; if \c node is
    /// the smallest, \c NULL will be returned.
    const RBNode<T>* previousNode(RBTreeNodeChain<T>& node_path) const;

    /// \brief Get the total number of nodes in the tree
    ///
    /// It includes nodes internally created as a result of adding a domain
    /// name that is a subdomain of an existing node of the tree.
    /// This function is mainly intended to be used for debugging.
    int getNodeCount() const { return (node_count_); }

    /// \name Debug function
    //@{
    /// \brief Print the nodes in the trees.
    ///
    /// \param os A \c std::ostream object to which the tree is printed.
    /// \param depth A factor of the initial indentation.  Each line
    /// will begin with space character repeating <code>5 * depth</code>
    /// times.
    void dumpTree(std::ostream& os, unsigned int depth = 0) const;
    //@}

    /// \name Modify functions
    //@{
    /// \brief Insert the domain name into the tree.
    ///
    /// It either finds an already existing node of the given name, or inserts
    /// a new one if none exists yet. In any case, the \c inserted_node parameter
    /// is set to point to that node. You can fill data into it or modify it.
    /// So, if you don't know if a node exists or not and you need to modify
    /// it, just call insert and act by the result.
    ///
    /// Please note that the tree can add some empty nodes by itself, so don't
    /// assume that if you didn't insert a node of that name it doesn't exist.
    ///
    /// This method normally involves resource allocation.  If it fails
    /// the corresponding standard exception will be thrown.
    ///
    /// This method does not provide the strong exception guarantee in its
    /// strict sense; if an exception is thrown in the middle of this
    /// method, the internal structure may change.  However, it should
    /// still retain the same property as a mapping container before this
    /// method is called.  For example, the result of \c find() should be
    /// the same.  This method provides the weak exception guarantee in its
    /// normal sense.
    ///
    /// \param name The name to be inserted into the tree.
    /// \param inserted_node This is an output parameter and is set to the
    ///     node.
    ///
    /// \return
    ///  - SUCCESS The node was added.
    ///  - ALREADYEXISTS There was already a node of that name, so it was not
    ///     added.
    Result insert(const isc::dns::Name& name, RBNode<T>** inserted_node);

    /// \brief Swaps two tree's contents.
    ///
    /// This acts the same as many std::*.swap functions, exchanges the
    /// contents. This doesn't throw anything.
    void swap(RBTree<T>& other) {
        std::swap(root_, other.root_);
        std::swap(NULLNODE, other.NULLNODE);
        std::swap(node_count_, other.node_count_);
    }
    //@}

private:
    /// \name RBTree balance functions
    //@{
    void insertRebalance(RBNode<T>** root, RBNode<T>* node);
    RBNode<T>* rightRotate(RBNode<T>** root, RBNode<T>* node);
    RBNode<T>* leftRotate(RBNode<T>** root, RBNode<T>* node);
    //@}

    /// \name Helper functions
    //@{
    /// \brief delete tree whose root is equal to node
    void deleteHelper(RBNode<T> *node);

    /// \brief Print the information of given RBNode.
    void dumpTreeHelper(std::ostream& os, const RBNode<T>* node,
                        unsigned int depth) const;

    /// \brief Indentation helper function for dumpTree
    static void indent(std::ostream& os, unsigned int depth);

    /// Split one node into two nodes, keep the old node and create one new
    /// node, old node will hold the base name, new node will be the down node
    /// of old node, new node will hold the sub_name, the data
    /// of old node will be move into new node, and old node became non-terminal
    void nodeFission(RBNode<T>& node, const isc::dns::Name& sub_name);
    //@}

    RBNode<T>*  NULLNODE;
    RBNode<T>*  root_;
    /// the node count of current tree
    unsigned int node_count_;
    /// search policy for rbtree
    const bool needsReturnEmptyNode_;
};

template <typename T>
RBTree<T>::RBTree(bool returnEmptyNode) :
    NULLNODE(RBNode<T>::NULL_NODE()),
    root_(NULLNODE),
    node_count_(0),
    needsReturnEmptyNode_(returnEmptyNode)
{
}

template <typename T>
RBTree<T>::~RBTree() {
    deleteHelper(root_);
    assert(node_count_ == 0);
}

template <typename T>
void
RBTree<T>::deleteHelper(RBNode<T>* root) {
    if (root == NULLNODE) {
        return;
    }

    RBNode<T>* node = root;
    while (root->left_ != NULLNODE || root->right_ != NULLNODE) {
        while (node->left_ != NULLNODE || node->right_ != NULLNODE) {
            node = (node->left_ != NULLNODE) ? node->left_ : node->right_;
        }

        RBNode<T>* parent = node->parent_;
        if (parent->left_ == node) {
            parent->left_ = NULLNODE;
        } else {
            parent->right_ = NULLNODE;
        }

        deleteHelper(node->down_);
        delete node;
        --node_count_;
        node = parent;
    }

    deleteHelper(root->down_);
    delete root;
    --node_count_;
}

template <typename T>
template <typename CBARG>
typename RBTree<T>::Result
RBTree<T>::find(const isc::dns::Name& target_name,
                RBNode<T>** target,
                RBTreeNodeChain<T>& node_path,
                bool (*callback)(const RBNode<T>&, CBARG),
                CBARG callback_arg) const
{
    using namespace helper;

    if (!node_path.isEmpty()) {
        isc_throw(isc::BadValue, "RBTree::find is given a non empty chain");
    }

    RBNode<T>* node = root_;
    Result ret = NOTFOUND;
    isc::dns::Name name = target_name;

    while (node != NULLNODE) {
        node_path.last_compared_ = node;
        node_path.last_comparison_ = name.compare(node->name_);
        const isc::dns::NameComparisonResult::NameRelation relation =
            node_path.last_comparison_.getRelation();

        if (relation == isc::dns::NameComparisonResult::EQUAL) {
            if (needsReturnEmptyNode_ || !node->isEmpty()) {
                node_path.push(node);
                *target = node;
                ret = EXACTMATCH;
            }
            break;
        } else {
            const int common_label_count =
                node_path.last_comparison_.getCommonLabels();
            // If the common label count is 1, there is no common label between
            // the two names, except the trailing "dot".  In this case the two
            // sequences of labels have essentially no hierarchical
            // relationship in terms of matching, so we should continue the
            // binary search.  One important exception is when the node
            // represents the root name ("."), in which case the comparison
            // result must indeed be considered subdomain matching. (We use
            // getLength() to check if the name is root, which is an equivalent
            // but cheaper way).
            if (common_label_count == 1 && node->name_.getLength() != 1) {
                node = (node_path.last_comparison_.getOrder() < 0) ?
                    node->left_ : node->right_;
            } else if (relation == isc::dns::NameComparisonResult::SUBDOMAIN) {
                if (needsReturnEmptyNode_ || !node->isEmpty()) {
                    ret = PARTIALMATCH;
                    *target = node;
                    if (callback != NULL &&
                        node->getFlag(RBNode<T>::FLAG_CALLBACK)) {
                        if ((callback)(*node, callback_arg)) {
                            break;
                        }
                    }
                }
                node_path.push(node);
                name = name - node->name_;
                node = node->down_;
            } else {
                break;
            }
        }
    }

    return (ret);
}

template <typename T>
const RBNode<T>*
RBTree<T>::nextNode(RBTreeNodeChain<T>& node_path) const {
    if (node_path.isEmpty()) {
        isc_throw(isc::BadValue, "RBTree::nextNode is given an empty chain");
    }

    const RBNode<T>* node = node_path.top();
    // if node has sub domain, the next domain is the smallest
    // domain in sub domain tree
    if (node->down_ != NULLNODE) {
        const RBNode<T>* left_most = node->down_;
        while (left_most->left_ != NULLNODE) {
            left_most = left_most->left_;
        }
        node_path.push(left_most);
        return (left_most);
    }

    // try to find a successor.
    // if no successor found move to up level, the next successor
    // is the successor of up node in the up level tree, if
    // up node doesn't have successor we gonna keep moving to up
    // level
    while (!node_path.isEmpty()) {
        const RBNode<T>* up_node_successor = node_path.top()->successor();
        node_path.pop();
        if (up_node_successor != NULLNODE) {
            node_path.push(up_node_successor);
            return (up_node_successor);
        }
    }

    return (NULL);
}

template <typename T>
const RBNode<T>*
RBTree<T>::previousNode(RBTreeNodeChain<T>& node_path) const {
    if (getNodeCount() == 0) {
        // Special case for empty trees. It would look every time like
        // we didn't search, because the last compared is empty. This is
        // a slight hack and not perfect, but this is better than throwing
        // on empty tree. And we probably won't meet an empty tree in practice
        // anyway.
        return (NULL);
    }
    if (node_path.last_compared_ == NULL) {
        isc_throw(isc::BadValue,
                  "RBTree::previousNode() called before find()");
    }

    // If the relation isn't EQUAL, it means the find was called previously
    // and didn't find the exact node. Therefore we need to locate the place
    // to start iterating the chain of domains.
    //
    // The logic here is not too complex, we just need to take care to handle
    // all the cases and decide where to go from there.
    switch (node_path.last_comparison_.getRelation()) {
        case dns::NameComparisonResult::COMMONANCESTOR:
            // We compared with a leaf in the tree and wanted to go to one of
            // the children. But the child was not there. It now depends on the
            // direction in which we wanted to go.
            if (node_path.last_comparison_.getOrder() < 0) {
                // We wanted to go left. So the one we compared with is
                // the one higher than we wanted. If we just put it into
                // the node_path, then the following algorithm below will find
                // the smaller one.
                //
                // This is exactly the same as with superdomain below.
                // Therefore, we just fall through to the next case.
            } else {
                // We wanted to go right. That means we want to output the
                // one which is the largest in the tree defined by the
                // compared one (it is either the compared one, or some
                // subdomain of it). There probably is not an easy trick
                // for this, so we just find the correct place.
                const RBNode<T>* current(node_path.last_compared_);
                while (current != NULLNODE) {
                    node_path.push(current);
                    // Go a level down and as much right there as possible
                    current = current->down_;
                    while (current->right_ != NULLNODE) {
                        // A small trick. The current may be NULLNODE, but
                        // such node has the right_ pointer and it is equal
                        // to NULLNODE.
                        current = current->right_;
                    }
                }
                // Now, the one on top of the path is the one we want. We
                // return it now and leave it there, so we can search for
                // previous of it the next time we'are called.
                node_path.last_comparison_ =
                    dns::NameComparisonResult(0, 0,
                                              dns::NameComparisonResult::EQUAL);
                return (node_path.top());
            }
            // No break; here - we want to fall through. See above.
        case dns::NameComparisonResult::SUPERDOMAIN:
            // This is the case there's a "compressed" node and we looked for
            // only part of it. The node itself is larger than we wanted, but
            // if we put it to the node_path and then go one step left from it,
            // we get the correct result.
            node_path.push(node_path.last_compared_);
            // Correct the comparison result, so we won't trigger this case
            // next time previousNode is called. We already located the correct
            // place to start. The value is partly nonsense, but that doesn't
            // matter any more.
            node_path.last_comparison_ =
                dns::NameComparisonResult(0, 0,
                                          dns::NameComparisonResult::EQUAL);
            break;
        case dns::NameComparisonResult::SUBDOMAIN:
            // A subdomain means we returned the one above the searched one
            // already and it is on top of the stack. This is was smaller
            // than the one already, but we want to return yet smaller one.
            // So we act as if it was EQUAL.
            break;
        case dns::NameComparisonResult::EQUAL:
            // The find gave us an exact match or the previousNode was called
            // already, which located the exact node. The rest of the function
            // goes one domain left and returns it for us.
            break;
        default:
            // This must not happen as Name::compare() never returns NONE.
            isc_throw(isc::Unexpected, "Name::compare() returned unexpected result");
    }

    // So, the node_path now contains the path to a node we want previous for.
    // We just need to go one step left.

    if (node_path.isEmpty()) {
        // We got past the first one. So, we're returning NULL from
        // now on.
        return (NULL);
    }

    const RBNode<T>* node(node_path.top());

    // Try going left in this tree
    node = node->predecessor();
    if (node == NULLNODE) {
        // We are the smallest ones in this tree. We go one level
        // up. That one is the smaller one than us.

        node_path.pop();
        if (node_path.isEmpty()) {
            // We're past the first one
            return (NULL);
        } else {
            return (node_path.top());
        }
    }

    // Exchange the node at the top of the path, as we move horizontaly
    // through the domain tree
    node_path.pop();
    node_path.push(node);

    // Try going as deep as possible, keeping on the right side of the trees
    while (node->down_ != NULLNODE) {
        // Move to the tree below
        node = node->down_;
        // And get as much to the right of the tree as possible
        while (node->right_ != NULLNODE) {
            node = node->right_;
        }
        // Now, we found the right-most node in the sub-tree, we need to
        // include it in the path
        node_path.push(node);
    }

    // Now, if the current node has no down_ pointer any more, it's the
    // correct one.
    return (node);
}

template <typename T>
typename RBTree<T>::Result
RBTree<T>::insert(const isc::dns::Name& target_name, RBNode<T>** new_node) {
    using namespace helper;
    RBNode<T>* parent = NULLNODE;
    RBNode<T>* current = root_;
    RBNode<T>* up_node = NULLNODE;
    isc::dns::Name name = target_name;

    int order = -1;
    while (current != NULLNODE) {
        const isc::dns::NameComparisonResult compare_result =
            name.compare(current->name_);
        const isc::dns::NameComparisonResult::NameRelation relation =
            compare_result.getRelation();
        if (relation == isc::dns::NameComparisonResult::EQUAL) {
            if (new_node != NULL) {
                *new_node = current;
            }
            return (ALREADYEXISTS);
        } else {
            const int common_label_count = compare_result.getCommonLabels();
            // Note: see find() for the check of getLength().
            if (common_label_count == 1 && current->name_.getLength() != 1) {
                parent = current;
                order = compare_result.getOrder();
                current = order < 0 ? current->left_ : current->right_;
            } else {
                // insert sub domain to sub tree
                if (relation == isc::dns::NameComparisonResult::SUBDOMAIN) {
                    parent = NULLNODE;
                    up_node = current;
                    name = name - current->name_;
                    current = current->down_;
                } else {
                    // The number of labels in common is fewer
                    // than the number of labels at the current
                    // node, so the current node must be adjusted
                    // to have just the common suffix, and a down
                    // pointer made to a new tree.
                    const isc::dns::Name common_ancestor = name.split(
                        name.getLabelCount() - common_label_count,
                        common_label_count);
                    nodeFission(*current, common_ancestor);
                }
            }
        }
    }

    RBNode<T>** current_root = (up_node != NULLNODE) ?
        &(up_node->down_) : &root_;
    // using auto_ptr here is avoid memory leak in case of exceptoin raised
    // after the RBNode creation, if we can make sure no exception will be
    // raised until the end of the function, we can remove it for optimization
    std::auto_ptr<RBNode<T> > node(new RBNode<T>(name));
    node->parent_ = parent;
    if (parent == NULLNODE) {
        *current_root = node.get();
        //node is the new root of sub tree, so its init color
        // is BLACK
        node->setColor(RBNode<T>::BLACK);
    } else if (order < 0) {
        parent->left_ = node.get();
    } else {
        parent->right_ = node.get();
    }
    insertRebalance(current_root, node.get());
    if (new_node != NULL) {
        *new_node = node.get();
    }

    ++node_count_;
    node.release();
    return (SUCCESS);
}


// Note: when we redesign this (still keeping the basic concept), we should
// change this part so the newly created node will be used for the inserted
// name (and therefore the name for the existing node doesn't change).
// Otherwise, things like shortcut links between nodes won't work.
template <typename T>
void
RBTree<T>::nodeFission(RBNode<T>& node, const isc::dns::Name& base_name) {
    using namespace helper;
    const isc::dns::Name sub_name = node.name_ - base_name;
    // using auto_ptr here is to avoid memory leak in case of exception raised
    // after the RBNode creation
    std::auto_ptr<RBNode<T> > down_node(new RBNode<T>(sub_name));
    node.name_ = base_name;
    // the rest of this function should be exception free so that it keeps
    // consistent behavior (i.e., a weak form of strong exception guarantee)
    // even if code after the call to this function throws an exception.
    std::swap(node.data_, down_node->data_);
    std::swap(node.flags_, down_node->flags_);

    down_node->down_ = node.down_;
    node.down_ = down_node.get();

    // Restore the color of the node (may have gotten changed by the flags swap)
    node.setColor(down_node->getColor());

    // root node of sub tree, the initial color is BLACK
    down_node->setColor(RBNode<T>::BLACK);
    ++node_count_;
    down_node.release();
}


template <typename T>
void
RBTree<T>::insertRebalance(RBNode<T>** root, RBNode<T>* node) {

    RBNode<T>* uncle;
    while (node != *root && node->parent_->getColor() == RBNode<T>::RED) {
        if (node->parent_ == node->parent_->parent_->left_) {
            uncle = node->parent_->parent_->right_;

            if (uncle->getColor() == RBNode<T>::RED) {
                node->parent_->setColor(RBNode<T>::BLACK);
                uncle->setColor(RBNode<T>::BLACK);
                node->parent_->parent_->setColor(RBNode<T>::RED);
                node = node->parent_->parent_;
            } else {
                if (node == node->parent_->right_) {
                    node = node->parent_;
                    leftRotate(root, node);
                }
                node->parent_->setColor(RBNode<T>::BLACK);
                node->parent_->parent_->setColor(RBNode<T>::RED);
                rightRotate(root, node->parent_->parent_);
            }
        } else {
            uncle = node->parent_->parent_->left_;
            if (uncle->getColor() == RBNode<T>::RED) {
                node->parent_->setColor(RBNode<T>::BLACK);
                uncle->setColor(RBNode<T>::BLACK);
                node->parent_->parent_->setColor(RBNode<T>::RED);
                node = node->parent_->parent_;
            } else {
                if (node == node->parent_->left_) {
                    node = node->parent_;
                    rightRotate(root, node);
                }
                node->parent_->setColor(RBNode<T>::BLACK);
                node->parent_->parent_->setColor(RBNode<T>::RED);
                leftRotate(root, node->parent_->parent_);
            }
        }
    }

    (*root)->setColor(RBNode<T>::BLACK);
}


template <typename T>
RBNode<T>*
RBTree<T>::leftRotate(RBNode<T>** root, RBNode<T>* node) {
    RBNode<T>* right = node->right_;
    node->right_ = right->left_;
    if (right->left_ != NULLNODE)
        right->left_->parent_ = node;

    right->parent_ = node->parent_;

    if (node->parent_ != NULLNODE) {
        if (node == node->parent_->left_) {
            node->parent_->left_ = right;
        } else  {
            node->parent_->right_ = right;
        }
    } else {
        *root = right;
    }

    right->left_ = node;
    node->parent_ = right;
    return (node);
}

template <typename T>
RBNode<T>*
RBTree<T>::rightRotate(RBNode<T>** root, RBNode<T>* node) {
    RBNode<T>* left = node->left_;
    node->left_ = left->right_;
    if (left->right_ != NULLNODE)
        left->right_->parent_ = node;

    left->parent_ = node->parent_;

    if (node->parent_ != NULLNODE) {
        if (node == node->parent_->right_) {
            node->parent_->right_ = left;
        } else  {
            node->parent_->left_ = left;
        }
    } else {
        *root = left;
    }
    left->right_ = node;
    node->parent_ = left;
    return (node);
}


template <typename T>
void
RBTree<T>::dumpTree(std::ostream& os, unsigned int depth) const {
    indent(os, depth);
    os << "tree has " << node_count_ << " node(s)\n";
    dumpTreeHelper(os, root_, depth);
}

template <typename T>
void
RBTree<T>::dumpTreeHelper(std::ostream& os, const RBNode<T>* node,
                          unsigned int depth) const
{
    if (node == NULLNODE) {
        indent(os, depth);
        os << "NULL\n";
        return;
    }

    indent(os, depth);
    os << node->name_.toText() << " ("
              << ((node->getColor() == RBNode<T>::BLACK) ? "black" : "red") << ")";
    if (node->isEmpty()) {
        os << " [invisible]";
    }
    if (node->isSubTreeRoot()) {
        os << " [subtreeroot]";
    }
    os << "\n";

    if (node->down_ != NULLNODE) {
        indent(os, depth + 1);
        os << "begin down from " << node->name_.toText() << "\n";
        dumpTreeHelper(os, node->down_, depth + 1);
        indent(os, depth + 1);
        os << "end down from " << node->name_.toText() << "\n";
    }
    dumpTreeHelper(os, node->left_, depth + 1);
    dumpTreeHelper(os, node->right_, depth + 1);
}

template <typename T>
void
RBTree<T>::indent(std::ostream& os, unsigned int depth) {
    static const unsigned int INDENT_FOR_EACH_DEPTH = 5;
    os << std::string(depth * INDENT_FOR_EACH_DEPTH, ' ');
}

}
}

#endif  // _RBTREE_H

// Local Variables:
// mode: c++
// End: