stx/btree_multiset.h

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/** \file btree_multiset.h
 * Contains the specialized B+ tree template class btree_multiset
 */

/*
 * STX B+ Tree Template Classes v0.9
 * Copyright (C) 2008-2013 Timo Bingmann
 *
 * Boost Software License - Version 1.0 - August 17th, 2003
 *
 * Permission is hereby granted, free of charge, to any person or organization
 * obtaining a copy of the software and accompanying documentation covered by
 * this license (the "Software") to use, reproduce, display, distribute,
 * execute, and transmit the Software, and to prepare derivative works of the
 * Software, and to permit third-parties to whom the Software is furnished to
 * do so, all subject to the following:
 *
 * The copyright notices in the Software and this entire statement, including
 * the above license grant, this restriction and the following disclaimer, must
 * be included in all copies of the Software, in whole or in part, and all
 * derivative works of the Software, unless such copies or derivative works are
 * solely in the form of machine-executable object code generated by a source
 * language processor.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT
 * SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE
 * FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
 * DEALINGS IN THE SOFTWARE.
 */

#ifndef _STX_BTREE_MULTISET_H_
#define _STX_BTREE_MULTISET_H_

#include <stx/btree.h>

namespace stx {

/** @brief Specialized B+ tree template class implementing STL's multiset
 * container.
 *
 * Implements the STL multiset using a B+ tree. It can be used as a drop-in
 * replacement for std::multiset. Not all asymptotic time requirements are met
 * in theory. The class has a traits class defining B+ tree properties like
 * slots and self-verification. Furthermore an allocator can be specified for
 * tree nodes.
 *
 * It is somewhat inefficient to implement a multiset using a B+ tree, a plain
 * B tree would hold fewer copies of the keys.
 *
 * The set class is derived from the base implementation class btree by
 * specifying an empty struct as data_type. All function are adapted to provide
 * the inner class with placeholder objects. Most tricky to get right were the
 * return type's of iterators which as value_type should be the same as
 * key_type, and not a pair of key and dummy-struct. This is taken case of
 * using some template magic in the btree class.
 */
template <typename _Key,
          typename _Compare = std::less<_Key>,
          typename _Traits = btree_default_set_traits<_Key>,
          typename _Alloc = std::allocator<_Key> >
class btree_multiset
{
public:
    // *** Template Parameter Types

    /// First template parameter: The key type of the btree. This is stored in
    /// inner nodes and leaves
    typedef _Key                        key_type;

    /// Second template parameter: Key comparison function object
    typedef _Compare                    key_compare;

    /// Third template parameter: Traits object used to define more parameters
    /// of the B+ tree
    typedef _Traits                     traits;

    /// Fourth template parameter: STL allocator
    typedef _Alloc                      allocator_type;

    // The macro BTREE_FRIENDS can be used by outside class to access the B+
    // tree internals. This was added for wxBTreeDemo to be able to draw the
    // tree.
    BTREE_FRIENDS

private:
    // *** The Data_Type

    /// The empty struct used as a placeholder for the data_type.
    struct empty_struct
    {
    };

public:
    // *** Constructed Types

    /// The empty data_type
    typedef struct empty_struct         data_type;

    /// Construct the set value_type: the key_type.
    typedef key_type                    value_type;

    /// Typedef of our own type
    typedef btree_multiset<key_type, key_compare, traits, allocator_type> self;

    /// Implementation type of the btree_base
    typedef stx::btree<key_type, data_type, value_type, key_compare,
                       traits, true, allocator_type, true> btree_impl;

    /// Function class comparing two value_type keys.
    typedef typename btree_impl::value_compare  value_compare;

    /// Size type used to count keys
    typedef typename btree_impl::size_type      size_type;

    /// Small structure containing statistics about the tree
    typedef typename btree_impl::tree_stats     tree_stats;

public:
    // *** Static Constant Options and Values of the B+ Tree

    /// Base B+ tree parameter: The number of key/data slots in each leaf
    static const unsigned short         leafslotmax =  btree_impl::leafslotmax;

    /// Base B+ tree parameter: The number of key slots in each inner node,
    /// this can differ from slots in each leaf.
    static const unsigned short         innerslotmax =  btree_impl::innerslotmax;

    /// Computed B+ tree parameter: The minimum number of key slots used in a
    /// leaf. If fewer slots are used, the leaf will be merged or slots shifted
    /// from it's siblings.
    static const unsigned short         minleafslots = btree_impl::minleafslots;

    /// Computed B+ tree parameter: The minimum number of key slots used
    /// in an inner node. If fewer slots are used, the inner node will be
    /// merged or slots shifted from it's siblings.
    static const unsigned short         mininnerslots = btree_impl::mininnerslots;

    /// Debug parameter: Enables expensive and thorough checking of the B+ tree
    /// invariants after each insert/erase operation.
    static const bool                   selfverify = btree_impl::selfverify;

    /// Debug parameter: Prints out lots of debug information about how the
    /// algorithms change the tree. Requires the header file to be compiled
    /// with BTREE_DEBUG and the key type must be std::ostream printable.
    static const bool                   debug = btree_impl::debug;

    /// Operational parameter: Allow duplicate keys in the btree.
    static const bool                   allow_duplicates = btree_impl::allow_duplicates;

public:
    // *** Iterators and Reverse Iterators

    /// STL-like iterator object for B+ tree items. The iterator points to a
    /// specific slot number in a leaf.
    typedef typename btree_impl::iterator               iterator;

    /// STL-like iterator object for B+ tree items. The iterator points to a
    /// specific slot number in a leaf.
    typedef typename btree_impl::const_iterator         const_iterator;

    /// create mutable reverse iterator by using STL magic
    typedef typename btree_impl::reverse_iterator       reverse_iterator;

    /// create constant reverse iterator by using STL magic
    typedef typename btree_impl::const_reverse_iterator const_reverse_iterator;

private:
    // *** Tree Implementation Object

    /// The contained implementation object
    btree_impl  tree;

public:
    // *** Constructors and Destructor

    /// Default constructor initializing an empty B+ tree with the standard key
    /// comparison function
    explicit inline btree_multiset(const allocator_type &alloc = allocator_type())
        : tree(alloc)
    {
    }

    /// Constructor initializing an empty B+ tree with a special key
    /// comparison object
    explicit inline btree_multiset(const key_compare &kcf,
                                   const allocator_type &alloc = allocator_type())
        : tree(kcf, alloc)
    {
    }

    /// Constructor initializing a B+ tree with the range [first,last)
    template <class InputIterator>
    inline btree_multiset(InputIterator first, InputIterator last,
                          const allocator_type &alloc = allocator_type())
        : tree(alloc)
    {
        insert(first, last);
    }

    /// Constructor initializing a B+ tree with the range [first,last) and a
    /// special key comparison object
    template <class InputIterator>
    inline btree_multiset(InputIterator first, InputIterator last, const key_compare &kcf,
                          const allocator_type &alloc = allocator_type())
        : tree(kcf, alloc)
    {
        insert(first, last);
    }

    /// Frees up all used B+ tree memory pages
    inline ~btree_multiset()
    {
    }

    /// Fast swapping of two identical B+ tree objects.
    void swap(self& from)
    {
        std::swap(tree, from.tree);
    }

public:
    // *** Key and Value Comparison Function Objects

    /// Constant access to the key comparison object sorting the B+ tree
    inline key_compare key_comp() const
    {
        return tree.key_comp();
    }

    /// Constant access to a constructed value_type comparison object. Required
    /// by the STL
    inline value_compare value_comp() const
    {
        return tree.value_comp();
    }

public:
    // *** Allocators

    /// Return the base node allocator provided during construction.
    allocator_type get_allocator() const
    {
        return tree.get_allocator();
    }

public:
    // *** Fast Destruction of the B+ Tree

    /// Frees all keys and all nodes of the tree
    void clear()
    {
        tree.clear();
    }

public:
    // *** STL Iterator Construction Functions

    /// Constructs a read/data-write iterator that points to the first slot in
    /// the first leaf of the B+ tree.
    inline iterator begin()
    {
        return tree.begin();
    }

    /// Constructs a read/data-write iterator that points to the first invalid
    /// slot in the last leaf of the B+ tree.
    inline iterator end()
    {
        return tree.end();
    }

    /// Constructs a read-only constant iterator that points to the first slot
    /// in the first leaf of the B+ tree.
    inline const_iterator begin() const
    {
        return tree.begin();
    }

    /// Constructs a read-only constant iterator that points to the first
    /// invalid slot in the last leaf of the B+ tree.
    inline const_iterator end() const
    {
        return tree.end();
    }

    /// Constructs a read/data-write reverse iterator that points to the first
    /// invalid slot in the last leaf of the B+ tree. Uses STL magic.
    inline reverse_iterator rbegin()
    {
        return tree.rbegin();
    }

    /// Constructs a read/data-write reverse iterator that points to the first
    /// slot in the first leaf of the B+ tree. Uses STL magic.
    inline reverse_iterator rend()
    {
        return tree.rend();
    }

    /// Constructs a read-only reverse iterator that points to the first
    /// invalid slot in the last leaf of the B+ tree. Uses STL magic.
    inline const_reverse_iterator rbegin() const
    {
        return tree.rbegin();
    }

    /// Constructs a read-only reverse iterator that points to the first slot
    /// in the first leaf of the B+ tree. Uses STL magic.
    inline const_reverse_iterator rend() const
    {
        return tree.rend();
    }

public:
    // *** Access Functions to the Item Count

    /// Return the number of keys in the B+ tree
    inline size_type size() const
    {
        return tree.size();
    }

    /// Returns true if there is at least one key in the B+ tree
    inline bool empty() const
    {
        return tree.empty();
    }

    /// Returns the largest possible size of the B+ Tree. This is just a
    /// function required by the STL standard, the B+ Tree can hold more items.
    inline size_type max_size() const
    {
        return tree.max_size();
    }

    /// Return a const reference to the current statistics.
    inline const tree_stats& get_stats() const
    {
        return tree.get_stats();
    }

public:
    // *** Standard Access Functions Querying the Tree by Descending to a Leaf

    /// Non-STL function checking whether a key is in the B+ tree. The same as
    /// (find(k) != end()) or (count() != 0).
    bool exists(const key_type &key) const
    {
        return tree.exists(key);
    }

    /// Tries to locate a key in the B+ tree and returns an iterator to the
    /// key slot if found. If unsuccessful it returns end().
    iterator find(const key_type &key)
    {
        return tree.find(key);
    }

    /// Tries to locate a key in the B+ tree and returns an constant iterator
    /// to the key slot if found. If unsuccessful it returns end().
    const_iterator find(const key_type &key) const
    {
        return tree.find(key);
    }

    /// Tries to locate a key in the B+ tree and returns the number of
    /// identical key entries found.
    size_type count(const key_type &key) const
    {
        return tree.count(key);
    }

    /// Searches the B+ tree and returns an iterator to the first pair
    /// equal to or greater than key, or end() if all keys are smaller.
    iterator lower_bound(const key_type& key)
    {
        return tree.lower_bound(key);
    }

    /// Searches the B+ tree and returns a constant iterator to the
    /// first pair equal to or greater than key, or end() if all keys
    /// are smaller.
    const_iterator lower_bound(const key_type& key) const
    {
        return tree.lower_bound(key);
    }

    /// Searches the B+ tree and returns an iterator to the first pair
    /// greater than key, or end() if all keys are smaller or equal.
    iterator upper_bound(const key_type& key)
    {
        return tree.upper_bound(key);
    }

    /// Searches the B+ tree and returns a constant iterator to the
    /// first pair greater than key, or end() if all keys are smaller
    /// or equal.
    const_iterator upper_bound(const key_type& key) const
    {
        return tree.upper_bound(key);
    }

    /// Searches the B+ tree and returns both lower_bound() and upper_bound().
    inline std::pair<iterator, iterator> equal_range(const key_type& key)
    {
        return tree.equal_range(key);
    }

    /// Searches the B+ tree and returns both lower_bound() and upper_bound().
    inline std::pair<const_iterator, const_iterator> equal_range(const key_type& key) const
    {
        return tree.equal_range(key);
    }

public:
    // *** B+ Tree Object Comparison Functions

    /// Equality relation of B+ trees of the same type. B+ trees of the same
    /// size and equal key (counts) are considered equal.
    inline bool operator==(const self &other) const
    {
        return (tree == other.tree);
    }

    /// Inequality relation. Based on operator==.
    inline bool operator!=(const self &other) const
    {
        return (tree != other.tree);
    }

    /// Total ordering relation of B+ trees of the same type. It uses
    /// std::lexicographical_compare() for the actual comparison of elements.
    inline bool operator<(const self &other) const
    {
        return (tree < other.tree);
    }

    /// Greater relation. Based on operator<.
    inline bool operator>(const self &other) const
    {
        return (tree > other.tree);
    }

    /// Less-equal relation. Based on operator<.
    inline bool operator<=(const self &other) const
    {
        return (tree <= other.tree);
    }

    /// Greater-equal relation. Based on operator<.
    inline bool operator>=(const self &other) const
    {
        return (tree >= other.tree);
    }

public:
    /// *** Fast Copy: Assign Operator and Copy Constructors

    /// Assignment operator. All the keys are copied
    inline self& operator= (const self &other)
    {
        if (this != &other)
        {
            tree = other.tree;
        }
        return *this;
    }

    /// Copy constructor. The newly initialized B+ tree object will contain a
    /// copy of all keys.
    inline btree_multiset(const self &other)
        : tree(other.tree)
    {
    }

public:
    // *** Public Insertion Functions

    /// Attempt to insert a key into the B+ tree. As this set allows
    /// duplicates, this function never fails.
    inline iterator insert(const key_type& x)
    {
        return tree.insert2(x, data_type()).first;
    }

    /// Attempt to insert a key into the B+ tree. The iterator hint is
    /// currently ignored by the B+ tree insertion routine.
    inline iterator insert(iterator hint, const key_type &x)
    {
        return tree.insert2(hint, x, data_type());
    }

    /// Attempt to insert the range [first,last) of key_type into the B+
    /// tree. Each key is inserted individually.
    template <typename InputIterator>
    inline void insert(InputIterator first, InputIterator last)
    {
        InputIterator iter = first;
        while(iter != last)
        {
            insert(*iter);
            ++iter;
        }
    }

    /// Bulk load a sorted range [first,last). Loads items into leaves and
    /// constructs a B-tree above them. The tree must be empty when calling
    /// this function.
    template <typename Iterator>
    inline void bulk_load(Iterator first, Iterator last)
    {
        return tree.bulk_load(first, last);
    }

public:
    // *** Public Erase Functions

    /// Erases one (the first) entry of the given key.
    bool erase_one(const key_type &key)
    {
        return tree.erase_one(key);
    }

    /// Erases all the entries of the given key. This is implemented using
    /// erase_one() and thus not very efficient.
    size_type erase(const key_type &key)
    {
        return tree.erase(key);
    }

    /// Erase the key/data pair referenced by the iterator.
    void erase(iterator iter)
    {
        return tree.erase(iter);
    }

#ifdef BTREE_TODO
    /// Erase all keys in the range [first,last). This function is currently
    /// not implemented by the B+ Tree.
    void erase(iterator /* first */, iterator /* last */)
    {
        abort();
    }
#endif

#ifdef BTREE_DEBUG
public:
    // *** Debug Printing

    /// Print out the B+ tree structure with keys onto the given ostream. This function
    /// requires that the header is compiled with BTREE_DEBUG and that key_type
    /// is printable via std::ostream.
    void print(std::ostream &os) const
    {
        tree.print(os);
    }

    /// Print out only the leaves via the double linked list.
    void print_leaves(std::ostream &os) const
    {
        tree.print_leaves(os);
    }
#endif

public:
    // *** Verification of B+ Tree Invariants

    /// Run a thorough verification of all B+ tree invariants. The program
    /// aborts via BTREE_ASSERT() if something is wrong.
    void verify() const
    {
        tree.verify();
    }

public:

    /// Dump the contents of the B+ tree out onto an ostream as a binary
    /// image. The image contains memory pointers which will be fixed when the
    /// image is restored. For this to work your key_type must be an integral
    /// type and contain no pointers or references.
    void dump(std::ostream &os) const
    {
        tree.dump(os);
    }

    /// Restore a binary image of a dumped B+ tree from an istream. The B+ tree
    /// pointers are fixed using the dump order. For dump and restore to work
    /// your key_type must be an integral type and contain no pointers or
    /// references. Returns true if the restore was successful.
    bool restore(std::istream &is)
    {
        return tree.restore(is);
    }
};

} // namespace stx

#endif // _STX_BTREE_MULTISET_H_