cpp-d1064d
[cross.git] / i686-linux-gnu-4.7 / usr / include / c++ / 4.7 / ext / pb_ds / detail / pat_trie_ / pat_trie_base.hpp
diff --git a/i686-linux-gnu-4.7/usr/include/c++/4.7/ext/pb_ds/detail/pat_trie_/pat_trie_base.hpp b/i686-linux-gnu-4.7/usr/include/c++/4.7/ext/pb_ds/detail/pat_trie_/pat_trie_base.hpp
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+// -*- C++ -*-
+
+// Copyright (C) 2005, 2006, 2009, 2011, 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the terms
+// of the GNU General Public License as published by the Free Software
+// Foundation; either version 3, or (at your option) any later
+// version.
+
+// This library is distributed in the hope that it will be useful, but
+// WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+// General Public License for more details.
+
+// Under Section 7 of GPL version 3, you are granted additional
+// permissions described in the GCC Runtime Library Exception, version
+// 3.1, as published by the Free Software Foundation.
+
+// You should have received a copy of the GNU General Public License and
+// a copy of the GCC Runtime Library Exception along with this program;
+// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
+// <http://www.gnu.org/licenses/>.
+
+// Copyright (C) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.
+
+// Permission to use, copy, modify, sell, and distribute this software
+// is hereby granted without fee, provided that the above copyright
+// notice appears in all copies, and that both that copyright notice
+// and this permission notice appear in supporting documentation. None
+// of the above authors, nor IBM Haifa Research Laboratories, make any
+// representation about the suitability of this software for any
+// purpose. It is provided "as is" without express or implied
+// warranty.
+
+/**
+ * @file pat_trie_/pat_trie_base.hpp
+ * Contains the base class for a patricia tree.
+ */
+
+#ifndef PB_DS_PAT_TRIE_BASE
+#define PB_DS_PAT_TRIE_BASE
+
+#include <debug/debug.h>
+
+namespace __gnu_pbds
+{
+  namespace detail
+  {
+    /// Base type for PATRICIA trees.
+    struct pat_trie_base
+    {
+      /**
+       *  @brief  Three types of nodes.
+       *
+       *  i_node is used by _Inode, leaf_node by _Leaf, and head_node by _Head.
+       */
+      enum node_type
+       {
+         i_node,
+         leaf_node,
+         head_node
+       };
+
+      /// Metadata base primary template.
+      template<typename Metadata, typename _Alloc>
+       struct _Metadata
+       {
+         typedef Metadata                                      metadata_type;
+         typedef _Alloc                                        allocator_type;
+         typedef typename _Alloc::template rebind<Metadata>    __rebind_m;
+         typedef typename __rebind_m::other::const_reference  const_reference;
+
+         const_reference
+         get_metadata() const
+         { return m_metadata; }
+
+         metadata_type                                         m_metadata;
+       };
+
+      /// Specialization for null metadata.
+      template<typename _Alloc>
+       struct _Metadata<null_type, _Alloc>
+       {
+         typedef null_type                                     metadata_type;
+         typedef _Alloc                                        allocator_type;
+       };
+
+
+      /// Node base.
+      template<typename _ATraits, typename Metadata>
+      struct _Node_base
+      : public Metadata
+      {
+      private:
+       typedef typename Metadata::allocator_type               _Alloc;
+
+      public:
+       typedef _Alloc                                          allocator_type;
+       typedef _ATraits                                        access_traits;
+       typedef typename _ATraits::type_traits                  type_traits;
+       typedef typename _Alloc::template rebind<_Node_base>    __rebind_n;
+       typedef typename __rebind_n::other::pointer             node_pointer;
+
+       node_pointer                                            m_p_parent;
+       const node_type                                         m_type;
+
+       _Node_base(node_type type) : m_type(type)
+       { }
+
+       typedef typename _Alloc::template rebind<_ATraits>    __rebind_at;
+       typedef typename __rebind_at::other::const_pointer    a_const_pointer;
+       typedef typename _ATraits::const_iterator             a_const_iterator;
+
+#ifdef _GLIBCXX_DEBUG
+       typedef std::pair<a_const_iterator, a_const_iterator> node_debug_info;
+
+       void
+       assert_valid(a_const_pointer p_traits,
+                    const char* __file, int __line) const
+       { assert_valid_imp(p_traits, __file, __line); }
+
+       virtual node_debug_info
+       assert_valid_imp(a_const_pointer, const char*, int) const = 0;
+#endif
+      };
+
+
+    /// Head node for PATRICIA tree.
+    template<typename _ATraits, typename Metadata>
+    struct _Head
+    : public _Node_base<_ATraits, Metadata>
+    {
+      typedef _Node_base<_ATraits, Metadata>                   base_type;
+      typedef typename base_type::type_traits                  type_traits;
+      typedef typename base_type::node_pointer                 node_pointer;
+
+      node_pointer                                             m_p_min;
+      node_pointer                                             m_p_max;
+
+      _Head() : base_type(head_node) { }
+
+#ifdef _GLIBCXX_DEBUG
+      typedef typename base_type::node_debug_info                     node_debug_info;
+      typedef typename base_type::a_const_pointer             a_const_pointer;
+
+      virtual node_debug_info
+      assert_valid_imp(a_const_pointer, const char* __file, int __line) const
+      {
+       _GLIBCXX_DEBUG_VERIFY_AT(false,
+                                _M_message("Assertion from %1;:%2;")
+                                ._M_string(__FILE__)._M_integer(__LINE__),
+                                __file, __line);
+       return node_debug_info();
+      }
+#endif
+    };
+
+
+    /// Leaf node for PATRICIA tree.
+    template<typename _ATraits, typename Metadata>
+    struct _Leaf
+    : public _Node_base<_ATraits, Metadata>
+    {
+      typedef _Node_base<_ATraits, Metadata>                   base_type;
+      typedef typename base_type::type_traits                  type_traits;
+      typedef typename type_traits::value_type                 value_type;
+      typedef typename type_traits::reference                  reference;
+      typedef typename type_traits::const_reference                    const_reference;
+
+    private:
+      value_type                                               m_value;
+
+      _Leaf(const _Leaf&);
+
+    public:
+      _Leaf(const_reference other)
+      : base_type(leaf_node), m_value(other) { }
+
+      reference
+      value()
+      { return m_value; }
+
+      const_reference
+      value() const
+      { return m_value; }
+
+#ifdef _GLIBCXX_DEBUG
+      typedef typename base_type::node_debug_info                      node_debug_info;
+      typedef typename base_type::a_const_pointer                      a_const_pointer;
+
+      virtual node_debug_info
+      assert_valid_imp(a_const_pointer p_traits,
+                      const char* __file, int __line) const
+      {
+       PB_DS_DEBUG_VERIFY(base_type::m_type == leaf_node);
+       node_debug_info ret;
+       const_reference r_val = value();
+       return std::make_pair(p_traits->begin(p_traits->extract_key(r_val)),
+                             p_traits->end(p_traits->extract_key(r_val)));
+      }
+
+      virtual
+      ~_Leaf() { }
+#endif
+    };
+
+
+    /// Internal node type, PATRICIA tree.
+    template<typename _ATraits, typename Metadata>
+    struct _Inode
+    : public _Node_base<_ATraits, Metadata>
+    {
+      typedef _Node_base<_ATraits, Metadata>                   base_type;
+      typedef typename base_type::type_traits                  type_traits;
+      typedef typename base_type::access_traits                        access_traits;
+      typedef typename type_traits::value_type                         value_type;
+      typedef typename base_type::allocator_type               _Alloc;
+      typedef _Alloc                                           allocator_type;
+      typedef typename _Alloc::size_type                       size_type;
+
+    private:
+      typedef typename base_type::a_const_pointer                     a_const_pointer;
+      typedef typename base_type::a_const_iterator                   a_const_iterator;
+
+      typedef typename base_type::node_pointer                 node_pointer;
+      typedef typename _Alloc::template rebind<base_type>      __rebind_n;
+      typedef typename __rebind_n::other::const_pointer      node_const_pointer;
+
+      typedef _Leaf<_ATraits, Metadata>                                leaf;
+      typedef typename _Alloc::template rebind<leaf>::other    __rebind_l;
+      typedef typename __rebind_l::pointer                     leaf_pointer;
+      typedef typename __rebind_l::const_pointer           leaf_const_pointer;
+
+      typedef typename _Alloc::template rebind<_Inode>::other  __rebind_in;
+      typedef typename __rebind_in::pointer                    inode_pointer;
+      typedef typename __rebind_in::const_pointer          inode_const_pointer;
+
+      inline size_type
+      get_pref_pos(a_const_iterator, a_const_iterator, a_const_pointer) const;
+
+    public:
+      typedef typename _Alloc::template rebind<node_pointer>::other __rebind_np;
+      typedef typename __rebind_np::pointer            node_pointer_pointer;
+      typedef typename __rebind_np::reference          node_pointer_reference;
+
+      enum
+       {
+         arr_size = _ATraits::max_size + 1
+       };
+      PB_DS_STATIC_ASSERT(min_arr_size, arr_size >= 2);
+
+
+      /// Constant child iterator.
+      struct const_iterator
+      {
+       node_pointer_pointer                            m_p_p_cur;
+       node_pointer_pointer                            m_p_p_end;
+
+       typedef std::forward_iterator_tag               iterator_category;
+       typedef typename _Alloc::difference_type        difference_type;
+       typedef node_pointer                            value_type;
+       typedef node_pointer_pointer                    pointer;
+       typedef node_pointer_reference                  reference;
+
+       const_iterator(node_pointer_pointer p_p_cur = 0,
+                      node_pointer_pointer p_p_end = 0)
+       : m_p_p_cur(p_p_cur), m_p_p_end(p_p_end)
+       { }
+
+       bool
+       operator==(const const_iterator& other) const
+       { return m_p_p_cur == other.m_p_p_cur; }
+
+       bool
+       operator!=(const const_iterator& other) const
+       { return m_p_p_cur != other.m_p_p_cur; }
+
+       const_iterator&
+       operator++()
+       {
+         do
+           ++m_p_p_cur;
+         while (m_p_p_cur != m_p_p_end && *m_p_p_cur == 0);
+         return *this;
+       }
+
+       const_iterator
+       operator++(int)
+       {
+         const_iterator ret_it(*this);
+         operator++();
+         return ret_it;
+       }
+
+       const node_pointer_pointer
+       operator->() const
+       {
+         _GLIBCXX_DEBUG_ONLY(assert_referencible();)
+         return m_p_p_cur;
+       }
+
+       node_const_pointer
+       operator*() const
+       {
+         _GLIBCXX_DEBUG_ONLY(assert_referencible();)
+         return *m_p_p_cur;
+       }
+
+      protected:
+#ifdef _GLIBCXX_DEBUG
+       void
+       assert_referencible() const
+       { _GLIBCXX_DEBUG_ASSERT(m_p_p_cur != m_p_p_end && *m_p_p_cur != 0); }
+#endif
+      };
+
+
+      /// Child iterator.
+      struct iterator : public const_iterator
+      {
+      public:
+       typedef std::forward_iterator_tag               iterator_category;
+       typedef typename _Alloc::difference_type        difference_type;
+       typedef node_pointer                            value_type;
+       typedef node_pointer_pointer                    pointer;
+       typedef node_pointer_reference                  reference;
+
+       inline
+       iterator(node_pointer_pointer p_p_cur = 0,
+                node_pointer_pointer p_p_end = 0)
+       : const_iterator(p_p_cur, p_p_end) { }
+
+       bool
+       operator==(const iterator& other) const
+       { return const_iterator::m_p_p_cur == other.m_p_p_cur; }
+
+       bool
+       operator!=(const iterator& other) const
+       { return const_iterator::m_p_p_cur != other.m_p_p_cur; }
+
+       iterator&
+       operator++()
+       {
+         const_iterator::operator++();
+         return *this;
+       }
+
+       iterator
+       operator++(int)
+       {
+         iterator ret_it(*this);
+         operator++();
+         return ret_it;
+       }
+
+       node_pointer_pointer
+       operator->()
+       {
+         _GLIBCXX_DEBUG_ONLY(const_iterator::assert_referencible();)
+         return const_iterator::m_p_p_cur;
+       }
+
+       node_pointer
+       operator*()
+       {
+         _GLIBCXX_DEBUG_ONLY(const_iterator::assert_referencible();)
+         return *const_iterator::m_p_p_cur;
+       }
+      };
+
+
+      _Inode(size_type, const a_const_iterator);
+
+      void
+      update_prefixes(a_const_pointer);
+
+      const_iterator
+      begin() const;
+
+      iterator
+      begin();
+
+      const_iterator
+      end() const;
+
+      iterator
+      end();
+
+      inline node_pointer
+      get_child_node(a_const_iterator, a_const_iterator, a_const_pointer);
+
+      inline node_const_pointer
+      get_child_node(a_const_iterator, a_const_iterator, a_const_pointer) const;
+
+      inline iterator
+      get_child_it(a_const_iterator, a_const_iterator, a_const_pointer);
+
+      inline node_pointer
+      get_lower_bound_child_node(a_const_iterator, a_const_iterator,
+                                size_type, a_const_pointer);
+
+      inline node_pointer
+      add_child(node_pointer, a_const_iterator, a_const_iterator,
+               a_const_pointer);
+
+      inline node_const_pointer
+      get_join_child(node_const_pointer, a_const_pointer) const;
+
+      inline node_pointer
+      get_join_child(node_pointer, a_const_pointer);
+
+      void
+      remove_child(node_pointer);
+
+      void
+      remove_child(iterator);
+
+      void
+      replace_child(node_pointer, a_const_iterator, a_const_iterator,
+                   a_const_pointer);
+
+      inline a_const_iterator
+      pref_b_it() const;
+
+      inline a_const_iterator
+      pref_e_it() const;
+
+      bool
+      should_be_mine(a_const_iterator, a_const_iterator, size_type,
+                    a_const_pointer) const;
+
+      leaf_pointer
+      leftmost_descendant();
+
+      leaf_const_pointer
+      leftmost_descendant() const;
+
+      leaf_pointer
+      rightmost_descendant();
+
+      leaf_const_pointer
+      rightmost_descendant() const;
+
+#ifdef _GLIBCXX_DEBUG
+      typedef typename base_type::node_debug_info             node_debug_info;
+
+      virtual node_debug_info
+      assert_valid_imp(a_const_pointer, const char*, int) const;
+#endif
+
+      size_type
+      get_e_ind() const
+      { return m_e_ind; }
+
+    private:
+      _Inode(const _Inode&);
+
+      size_type
+      get_begin_pos() const;
+
+      static __rebind_l                        s_leaf_alloc;
+      static __rebind_in               s_inode_alloc;
+
+      const size_type                  m_e_ind;
+      a_const_iterator                         m_pref_b_it;
+      a_const_iterator                         m_pref_e_it;
+      node_pointer                     m_a_p_children[arr_size];
+    };
+
+#define PB_DS_CONST_IT_C_DEC \
+    _CIter<Node, Leaf, Head, Inode, Is_Forward_Iterator>
+
+#define PB_DS_CONST_ODIR_IT_C_DEC \
+    _CIter<Node, Leaf, Head, Inode, !Is_Forward_Iterator>
+
+#define PB_DS_IT_C_DEC \
+    _Iter<Node, Leaf, Head, Inode, Is_Forward_Iterator>
+
+#define PB_DS_ODIR_IT_C_DEC \
+    _Iter<Node, Leaf, Head, Inode, !Is_Forward_Iterator>
+
+
+    /// Const iterator.
+    template<typename Node, typename Leaf, typename Head, typename Inode,
+            bool Is_Forward_Iterator>
+    class _CIter
+    {
+    public:
+      // These types are all the same for the first four template arguments.
+      typedef typename Node::allocator_type            allocator_type;
+      typedef typename Node::type_traits               type_traits;
+
+      typedef std::bidirectional_iterator_tag          iterator_category;
+      typedef typename allocator_type::difference_type difference_type;
+      typedef typename type_traits::value_type         value_type;
+      typedef typename type_traits::pointer            pointer;
+      typedef typename type_traits::reference          reference;
+      typedef typename type_traits::const_pointer      const_pointer;
+      typedef typename type_traits::const_reference    const_reference;
+
+      typedef allocator_type                           _Alloc;
+      typedef typename _Alloc::template rebind<Node>   __rebind_n;
+      typedef typename __rebind_n::other::pointer      node_pointer;
+      typedef typename _Alloc::template rebind<Leaf>   __rebind_l;
+      typedef typename __rebind_l::other::pointer      leaf_pointer;
+      typedef typename __rebind_l::other::const_pointer        leaf_const_pointer;
+      typedef typename _Alloc::template rebind<Head>   __rebind_h;
+      typedef typename __rebind_h::other::pointer      head_pointer;
+
+      typedef typename _Alloc::template rebind<Inode> __rebind_in;
+      typedef typename __rebind_in::other::pointer     inode_pointer;
+      typedef typename Inode::iterator                 inode_iterator;
+
+      node_pointer                                     m_p_nd;
+
+      _CIter(node_pointer p_nd = 0) : m_p_nd(p_nd)
+      { }
+
+      _CIter(const PB_DS_CONST_ODIR_IT_C_DEC& other)
+      : m_p_nd(other.m_p_nd)
+      { }
+
+      _CIter&
+      operator=(const _CIter& other)
+      {
+       m_p_nd = other.m_p_nd;
+       return *this;
+      }
+
+      _CIter&
+      operator=(const PB_DS_CONST_ODIR_IT_C_DEC& other)
+      {
+       m_p_nd = other.m_p_nd;
+       return *this;
+      }
+
+      const_pointer
+      operator->() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == leaf_node);
+       return &static_cast<leaf_pointer>(m_p_nd)->value();
+      }
+
+      const_reference
+      operator*() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == leaf_node);
+       return static_cast<leaf_pointer>(m_p_nd)->value();
+      }
+
+      bool
+      operator==(const _CIter& other) const
+      { return m_p_nd == other.m_p_nd; }
+
+      bool
+      operator==(const PB_DS_CONST_ODIR_IT_C_DEC& other) const
+      { return m_p_nd == other.m_p_nd; }
+
+      bool
+      operator!=(const _CIter& other) const
+      { return m_p_nd != other.m_p_nd; }
+
+      bool
+      operator!=(const PB_DS_CONST_ODIR_IT_C_DEC& other) const
+      { return m_p_nd != other.m_p_nd; }
+
+      _CIter&
+      operator++()
+      {
+       inc(integral_constant<int, Is_Forward_Iterator>());
+       return *this;
+      }
+
+      _CIter
+      operator++(int)
+      {
+       _CIter ret_it(m_p_nd);
+       operator++();
+       return ret_it;
+      }
+
+      _CIter&
+      operator--()
+      {
+       dec(integral_constant<int, Is_Forward_Iterator>());
+       return *this;
+      }
+
+      _CIter
+      operator--(int)
+      {
+       _CIter ret_it(m_p_nd);
+       operator--();
+       return ret_it;
+      }
+
+    protected:
+      void
+      inc(false_type)
+      { dec(true_type()); }
+
+      void
+      inc(true_type)
+      {
+       if (m_p_nd->m_type == head_node)
+         {
+           m_p_nd = static_cast<head_pointer>(m_p_nd)->m_p_min;
+           return;
+         }
+
+       node_pointer p_y = m_p_nd->m_p_parent;
+       while (p_y->m_type != head_node && get_larger_sibling(m_p_nd) == 0)
+         {
+           m_p_nd = p_y;
+           p_y = p_y->m_p_parent;
+         }
+
+       if (p_y->m_type == head_node)
+         {
+           m_p_nd = p_y;
+           return;
+         }
+       m_p_nd = leftmost_descendant(get_larger_sibling(m_p_nd));
+      }
+
+      void
+      dec(false_type)
+      { inc(true_type()); }
+
+      void
+      dec(true_type)
+      {
+       if (m_p_nd->m_type == head_node)
+         {
+           m_p_nd = static_cast<head_pointer>(m_p_nd)->m_p_max;
+           return;
+         }
+
+       node_pointer p_y = m_p_nd->m_p_parent;
+       while (p_y->m_type != head_node && get_smaller_sibling(m_p_nd) == 0)
+         {
+           m_p_nd = p_y;
+           p_y = p_y->m_p_parent;
+         }
+
+       if (p_y->m_type == head_node)
+         {
+           m_p_nd = p_y;
+           return;
+         }
+       m_p_nd = rightmost_descendant(get_smaller_sibling(m_p_nd));
+      }
+
+      static node_pointer
+      get_larger_sibling(node_pointer p_nd)
+      {
+       inode_pointer p_parent = static_cast<inode_pointer>(p_nd->m_p_parent);
+
+       inode_iterator it = p_parent->begin();
+       while (*it != p_nd)
+         ++it;
+
+       inode_iterator next_it = it;
+       ++next_it;
+       return (next_it == p_parent->end())? 0 : *next_it;
+      }
+
+      static node_pointer
+      get_smaller_sibling(node_pointer p_nd)
+      {
+       inode_pointer p_parent = static_cast<inode_pointer>(p_nd->m_p_parent);
+
+       inode_iterator it = p_parent->begin();
+       if (*it == p_nd)
+         return 0;
+
+       inode_iterator prev_it;
+       do
+         {
+           prev_it = it;
+           ++it;
+           if (*it == p_nd)
+             return *prev_it;
+         }
+       while (true);
+
+       _GLIBCXX_DEBUG_ASSERT(false);
+       return 0;
+      }
+
+      static leaf_pointer
+      leftmost_descendant(node_pointer p_nd)
+      {
+       if (p_nd->m_type == leaf_node)
+         return static_cast<leaf_pointer>(p_nd);
+       return static_cast<inode_pointer>(p_nd)->leftmost_descendant();
+      }
+
+      static leaf_pointer
+      rightmost_descendant(node_pointer p_nd)
+      {
+       if (p_nd->m_type == leaf_node)
+         return static_cast<leaf_pointer>(p_nd);
+       return static_cast<inode_pointer>(p_nd)->rightmost_descendant();
+      }
+    };
+
+
+    /// Iterator.
+    template<typename Node, typename Leaf, typename Head, typename Inode,
+            bool Is_Forward_Iterator>
+    class _Iter
+    : public _CIter<Node, Leaf, Head, Inode, Is_Forward_Iterator>
+    {
+    public:
+      typedef _CIter<Node, Leaf, Head, Inode, Is_Forward_Iterator>
+                                                       base_type;
+      typedef typename base_type::allocator_type       allocator_type;
+      typedef typename base_type::type_traits          type_traits;
+      typedef typename type_traits::value_type         value_type;
+      typedef typename type_traits::pointer            pointer;
+      typedef typename type_traits::reference          reference;
+
+      typedef typename base_type::node_pointer         node_pointer;
+      typedef typename base_type::leaf_pointer         leaf_pointer;
+      typedef typename base_type::leaf_const_pointer   leaf_const_pointer;
+      typedef typename base_type::head_pointer         head_pointer;
+      typedef typename base_type::inode_pointer        inode_pointer;
+
+      _Iter(node_pointer p_nd = 0)
+      : base_type(p_nd) { }
+
+      _Iter(const PB_DS_ODIR_IT_C_DEC& other)
+      : base_type(other.m_p_nd) { }
+
+      _Iter&
+      operator=(const _Iter& other)
+      {
+       base_type::m_p_nd = other.m_p_nd;
+       return *this;
+      }
+
+      _Iter&
+      operator=(const PB_DS_ODIR_IT_C_DEC& other)
+      {
+       base_type::m_p_nd = other.m_p_nd;
+       return *this;
+      }
+
+      pointer
+      operator->() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(base_type::m_p_nd->m_type == leaf_node);
+       return &static_cast<leaf_pointer>(base_type::m_p_nd)->value();
+      }
+
+      reference
+      operator*() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(base_type::m_p_nd->m_type == leaf_node);
+       return static_cast<leaf_pointer>(base_type::m_p_nd)->value();
+      }
+
+      _Iter&
+      operator++()
+      {
+       base_type::operator++();
+       return *this;
+      }
+
+      _Iter
+      operator++(int)
+      {
+       _Iter ret(base_type::m_p_nd);
+       operator++();
+       return ret;
+      }
+
+      _Iter&
+      operator--()
+      {
+       base_type::operator--();
+       return *this;
+      }
+
+      _Iter
+      operator--(int)
+      {
+       _Iter ret(base_type::m_p_nd);
+       operator--();
+       return ret;
+      }
+    };
+
+#undef PB_DS_CONST_ODIR_IT_C_DEC
+#undef PB_DS_ODIR_IT_C_DEC
+
+
+#define PB_DS_PAT_TRIE_NODE_CONST_ITERATOR_C_DEC \
+    _Node_citer<Node, Leaf, Head, Inode, _CIterator, Iterator, _ATraits, _Alloc>
+
+#define PB_DS_PAT_TRIE_NODE_ITERATOR_C_DEC \
+    _Node_iter<Node, Leaf, Head, Inode, _CIterator, Iterator, _ATraits, _Alloc>
+
+    /// Node const iterator.
+    template<typename Node,
+            typename Leaf,
+            typename Head,
+            typename Inode,
+            typename _CIterator,
+            typename Iterator,
+            typename _Alloc>
+    class _Node_citer
+    {
+    protected:
+      typedef typename _Alloc::template rebind<Node>   __rebind_n;
+      typedef typename __rebind_n::other::pointer      node_pointer;
+
+      typedef typename _Alloc::template rebind<Leaf>   __rebind_l;
+      typedef typename __rebind_l::other::pointer      leaf_pointer;
+      typedef typename __rebind_l::other::const_pointer        leaf_const_pointer;
+
+      typedef typename _Alloc::template rebind<Inode>  __rebind_in;
+      typedef typename __rebind_in::other::pointer     inode_pointer;
+      typedef typename __rebind_in::other::const_pointer inode_const_pointer;
+
+      typedef typename Node::a_const_pointer           a_const_pointer;
+      typedef typename Node::a_const_iterator          a_const_iterator;
+
+    private:
+      a_const_iterator
+      pref_begin() const
+      {
+       if (m_p_nd->m_type == leaf_node)
+         {
+           leaf_const_pointer lcp = static_cast<leaf_const_pointer>(m_p_nd);
+           return m_p_traits->begin(m_p_traits->extract_key(lcp->value()));
+         }
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == i_node);
+       return static_cast<inode_const_pointer>(m_p_nd)->pref_b_it();
+      }
+
+      a_const_iterator
+      pref_end() const
+      {
+       if (m_p_nd->m_type == leaf_node)
+         {
+           leaf_const_pointer lcp = static_cast<leaf_const_pointer>(m_p_nd);
+           return m_p_traits->end(m_p_traits->extract_key(lcp->value()));
+         }
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == i_node);
+       return static_cast<inode_const_pointer>(m_p_nd)->pref_e_it();
+      }
+
+    public:
+      typedef trivial_iterator_tag                     iterator_category;
+      typedef trivial_iterator_difference_type                 difference_type;
+      typedef typename _Alloc::size_type               size_type;
+
+      typedef _CIterator                               value_type;
+      typedef value_type                               reference;
+      typedef value_type                               const_reference;
+
+      /// Metadata type.
+      typedef typename Node::metadata_type             metadata_type;
+
+      /// Const metadata reference type.
+      typedef typename _Alloc::template rebind<metadata_type> __rebind_m;
+      typedef typename __rebind_m::other               __rebind_ma;
+      typedef typename __rebind_ma::const_reference    metadata_const_reference;
+
+      inline
+      _Node_citer(node_pointer p_nd = 0, a_const_pointer p_traits = 0)
+      : m_p_nd(const_cast<node_pointer>(p_nd)), m_p_traits(p_traits)
+      { }
+
+      /// Subtree valid prefix.
+      std::pair<a_const_iterator, a_const_iterator>
+      valid_prefix() const
+      { return std::make_pair(pref_begin(), pref_end()); }
+
+      /// Const access; returns the __const iterator* associated with
+      /// the current leaf.
+      const_reference
+      operator*() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(num_children() == 0);
+       return _CIterator(m_p_nd);
+      }
+
+      /// Metadata access.
+      metadata_const_reference
+      get_metadata() const
+      { return m_p_nd->get_metadata(); }
+
+      /// Returns the number of children in the corresponding node.
+      size_type
+      num_children() const
+      {
+       if (m_p_nd->m_type == leaf_node)
+         return 0;
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == i_node);
+       inode_pointer inp = static_cast<inode_pointer>(m_p_nd);
+       return std::distance(inp->begin(), inp->end());
+      }
+
+      /// Returns a __const node __iterator to the corresponding node's
+      /// i-th child.
+      _Node_citer
+      get_child(size_type i) const
+      {
+       _GLIBCXX_DEBUG_ASSERT(m_p_nd->m_type == i_node);
+       inode_pointer inp = static_cast<inode_pointer>(m_p_nd);
+       typename Inode::iterator it = inp->begin();
+       std::advance(it, i);
+       return _Node_citer(*it, m_p_traits);
+      }
+
+      /// Compares content to a different iterator object.
+      bool
+      operator==(const _Node_citer& other) const
+      { return m_p_nd == other.m_p_nd; }
+
+      /// Compares content (negatively) to a different iterator object.
+      bool
+      operator!=(const _Node_citer& other) const
+      { return m_p_nd != other.m_p_nd; }
+
+      node_pointer                     m_p_nd;
+      a_const_pointer                  m_p_traits;
+    };
+
+
+    /// Node iterator.
+    template<typename Node,
+            typename Leaf,
+            typename Head,
+            typename Inode,
+            typename _CIterator,
+            typename Iterator,
+            typename _Alloc>
+    class _Node_iter
+    : public _Node_citer<Node, Leaf, Head, Inode, _CIterator, Iterator, _Alloc>
+    {
+    private:
+      typedef _Node_citer<Node, Leaf, Head, Inode,
+                         _CIterator, Iterator, _Alloc> base_type;
+      typedef typename _Alloc::template rebind<Node>   __rebind_n;
+      typedef typename __rebind_n::other::pointer      node_pointer;
+      typedef typename base_type::inode_pointer        inode_pointer;
+      typedef typename base_type::a_const_pointer      a_const_pointer;
+      typedef Iterator                                         iterator;
+
+    public:
+      typedef typename base_type::size_type            size_type;
+
+      typedef Iterator                                         value_type;
+      typedef value_type                               reference;
+      typedef value_type                               const_reference;
+
+      _Node_iter(node_pointer p_nd = 0, a_const_pointer p_traits = 0)
+      : base_type(p_nd, p_traits)
+      { }
+
+      /// Access; returns the iterator*  associated with the current leaf.
+      reference
+      operator*() const
+      {
+       _GLIBCXX_DEBUG_ASSERT(base_type::num_children() == 0);
+       return iterator(base_type::m_p_nd);
+      }
+
+      /// Returns a node __iterator to the corresponding node's i-th child.
+      _Node_iter
+      get_child(size_type i) const
+      {
+       _GLIBCXX_DEBUG_ASSERT(base_type::m_p_nd->m_type == i_node);
+
+       typename Inode::iterator it =
+         static_cast<inode_pointer>(base_type::m_p_nd)->begin();
+
+       std::advance(it, i);
+       return _Node_iter(*it, base_type::m_p_traits);
+      }
+    };
+    };
+
+
+#define PB_DS_CLASS_T_DEC \
+    template<typename _ATraits, typename Metadata>
+
+#define PB_DS_CLASS_C_DEC \
+    pat_trie_base::_Inode<_ATraits, Metadata>
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::__rebind_l
+    PB_DS_CLASS_C_DEC::s_leaf_alloc;
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::__rebind_in
+    PB_DS_CLASS_C_DEC::s_inode_alloc;
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::size_type
+    PB_DS_CLASS_C_DEC::
+    get_pref_pos(a_const_iterator b_it, a_const_iterator e_it,
+                a_const_pointer p_traits) const
+    {
+      if (static_cast<std::size_t>(std::distance(b_it, e_it)) <= m_e_ind)
+       return 0;
+      std::advance(b_it, m_e_ind);
+      return 1 + p_traits->e_pos(*b_it);
+    }
+
+    PB_DS_CLASS_T_DEC
+    PB_DS_CLASS_C_DEC::
+    _Inode(size_type len, const a_const_iterator it)
+    : base_type(i_node), m_e_ind(len), m_pref_b_it(it), m_pref_e_it(it)
+    {
+      std::advance(m_pref_e_it, m_e_ind);
+      std::fill(m_a_p_children, m_a_p_children + arr_size,
+               static_cast<node_pointer>(0));
+    }
+
+    PB_DS_CLASS_T_DEC
+    void
+    PB_DS_CLASS_C_DEC::
+    update_prefixes(a_const_pointer p_traits)
+    {
+      node_pointer p_first = *begin();
+      if (p_first->m_type == leaf_node)
+       {
+         leaf_const_pointer p = static_cast<leaf_const_pointer>(p_first);
+         m_pref_b_it = p_traits->begin(access_traits::extract_key(p->value()));
+       }
+      else
+       {
+         inode_pointer p = static_cast<inode_pointer>(p_first);
+         _GLIBCXX_DEBUG_ASSERT(p_first->m_type == i_node);
+         m_pref_b_it = p->pref_b_it();
+       }
+      m_pref_e_it = m_pref_b_it;
+      std::advance(m_pref_e_it, m_e_ind);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::const_iterator
+    PB_DS_CLASS_C_DEC::
+    begin() const
+    {
+      typedef node_pointer_pointer pointer_type;
+      pointer_type p = const_cast<pointer_type>(m_a_p_children);
+      return const_iterator(p + get_begin_pos(), p + arr_size);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::iterator
+    PB_DS_CLASS_C_DEC::
+    begin()
+    {
+      return iterator(m_a_p_children + get_begin_pos(),
+                     m_a_p_children + arr_size);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::const_iterator
+    PB_DS_CLASS_C_DEC::
+    end() const
+    {
+      typedef node_pointer_pointer pointer_type;
+      pointer_type p = const_cast<pointer_type>(m_a_p_children) + arr_size;
+      return const_iterator(p, p);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::iterator
+    PB_DS_CLASS_C_DEC::
+    end()
+    { return iterator(m_a_p_children + arr_size, m_a_p_children + arr_size); }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::node_pointer
+    PB_DS_CLASS_C_DEC::
+    get_child_node(a_const_iterator b_it, a_const_iterator e_it,
+                  a_const_pointer p_traits)
+    {
+      const size_type i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+      return m_a_p_children[i];
+    }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::iterator
+    PB_DS_CLASS_C_DEC::
+    get_child_it(a_const_iterator b_it, a_const_iterator e_it,
+                a_const_pointer p_traits)
+    {
+      const size_type i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+      _GLIBCXX_DEBUG_ASSERT(m_a_p_children[i] != 0);
+      return iterator(m_a_p_children + i, m_a_p_children + i);
+    }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::node_const_pointer
+    PB_DS_CLASS_C_DEC::
+    get_child_node(a_const_iterator b_it, a_const_iterator e_it,
+                  a_const_pointer p_traits) const
+    { return const_cast<node_pointer>(get_child_node(b_it, e_it, p_traits)); }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::node_pointer
+    PB_DS_CLASS_C_DEC::
+    get_lower_bound_child_node(a_const_iterator b_it, a_const_iterator e_it,
+                              size_type checked_ind,
+                              a_const_pointer p_traits)
+    {
+      if (!should_be_mine(b_it, e_it, checked_ind, p_traits))
+       {
+         if (p_traits->cmp_prefixes(b_it, e_it, m_pref_b_it,
+                                    m_pref_e_it, true))
+           return leftmost_descendant();
+         return rightmost_descendant();
+       }
+
+      size_type i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+
+      if (m_a_p_children[i] != 0)
+       return m_a_p_children[i];
+
+      while (++i < arr_size)
+       if (m_a_p_children[i] != 0)
+         {
+           const node_type& __nt = m_a_p_children[i]->m_type;
+           node_pointer ret = m_a_p_children[i];
+
+           if (__nt == leaf_node)
+             return ret;
+
+           _GLIBCXX_DEBUG_ASSERT(__nt == i_node);
+           inode_pointer inp = static_cast<inode_pointer>(ret);
+           return inp->leftmost_descendant();
+         }
+
+      return rightmost_descendant();
+    }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::node_pointer
+    PB_DS_CLASS_C_DEC::
+    add_child(node_pointer p_nd, a_const_iterator b_it, a_const_iterator e_it,
+             a_const_pointer p_traits)
+    {
+      const size_type i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+      if (m_a_p_children[i] == 0)
+       {
+         m_a_p_children[i] = p_nd;
+         p_nd->m_p_parent = this;
+         return p_nd;
+       }
+      return m_a_p_children[i];
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::node_const_pointer
+    PB_DS_CLASS_C_DEC::
+    get_join_child(node_const_pointer p_nd,
+                  a_const_pointer p_tr) const
+    {
+      node_pointer p = const_cast<node_pointer>(p_nd);
+      return const_cast<inode_pointer>(this)->get_join_child(p, p_tr);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::node_pointer
+    PB_DS_CLASS_C_DEC::
+    get_join_child(node_pointer p_nd, a_const_pointer p_traits)
+    {
+      size_type i;
+      a_const_iterator b_it;
+      a_const_iterator e_it;
+      if (p_nd->m_type == leaf_node)
+       {
+         leaf_const_pointer p = static_cast<leaf_const_pointer>(p_nd);
+
+         typedef typename type_traits::key_const_reference kcr;
+         kcr r_key = access_traits::extract_key(p->value());
+         b_it = p_traits->begin(r_key);
+         e_it = p_traits->end(r_key);
+       }
+      else
+       {
+         b_it = static_cast<inode_pointer>(p_nd)->pref_b_it();
+         e_it = static_cast<inode_pointer>(p_nd)->pref_e_it();
+       }
+      i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+      return m_a_p_children[i];
+    }
+
+    PB_DS_CLASS_T_DEC
+    void
+    PB_DS_CLASS_C_DEC::
+    remove_child(node_pointer p_nd)
+    {
+      size_type i = 0;
+      for (; i < arr_size; ++i)
+       if (m_a_p_children[i] == p_nd)
+         {
+           m_a_p_children[i] = 0;
+           return;
+         }
+      _GLIBCXX_DEBUG_ASSERT(i != arr_size);
+    }
+
+    PB_DS_CLASS_T_DEC
+    void
+    PB_DS_CLASS_C_DEC::
+    remove_child(iterator it)
+    { *it.m_p_p_cur = 0; }
+
+    PB_DS_CLASS_T_DEC
+    void
+    PB_DS_CLASS_C_DEC::
+    replace_child(node_pointer p_nd, a_const_iterator b_it,
+                 a_const_iterator e_it,
+                 a_const_pointer p_traits)
+    {
+      const size_type i = get_pref_pos(b_it, e_it, p_traits);
+      _GLIBCXX_DEBUG_ASSERT(i < arr_size);
+      m_a_p_children[i] = p_nd;
+      p_nd->m_p_parent = this;
+    }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::a_const_iterator
+    PB_DS_CLASS_C_DEC::
+    pref_b_it() const
+    { return m_pref_b_it; }
+
+    PB_DS_CLASS_T_DEC
+    inline typename PB_DS_CLASS_C_DEC::a_const_iterator
+    PB_DS_CLASS_C_DEC::
+    pref_e_it() const
+    { return m_pref_e_it; }
+
+    PB_DS_CLASS_T_DEC
+    bool
+    PB_DS_CLASS_C_DEC::
+    should_be_mine(a_const_iterator b_it, a_const_iterator e_it,
+                  size_type checked_ind,
+                  a_const_pointer p_traits) const
+    {
+      if (m_e_ind == 0)
+       return true;
+
+      const size_type num_es = std::distance(b_it, e_it);
+      if (num_es < m_e_ind)
+       return false;
+
+      a_const_iterator key_b_it = b_it;
+      std::advance(key_b_it, checked_ind);
+      a_const_iterator key_e_it = b_it;
+      std::advance(key_e_it, m_e_ind);
+
+      a_const_iterator value_b_it = m_pref_b_it;
+      std::advance(value_b_it, checked_ind);
+      a_const_iterator value_e_it = m_pref_b_it;
+      std::advance(value_e_it, m_e_ind);
+
+      return p_traits->equal_prefixes(key_b_it, key_e_it, value_b_it,
+                                     value_e_it);
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::leaf_pointer
+    PB_DS_CLASS_C_DEC::
+    leftmost_descendant()
+    {
+      node_pointer p_pot = *begin();
+      if (p_pot->m_type == leaf_node)
+       return (static_cast<leaf_pointer>(p_pot));
+      _GLIBCXX_DEBUG_ASSERT(p_pot->m_type == i_node);
+      return static_cast<inode_pointer>(p_pot)->leftmost_descendant();
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::leaf_const_pointer
+    PB_DS_CLASS_C_DEC::
+    leftmost_descendant() const
+    { return const_cast<inode_pointer>(this)->leftmost_descendant(); }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::leaf_pointer
+    PB_DS_CLASS_C_DEC::
+    rightmost_descendant()
+    {
+      const size_type num_children = std::distance(begin(), end());
+      _GLIBCXX_DEBUG_ASSERT(num_children >= 2);
+
+      iterator it = begin();
+      std::advance(it, num_children - 1);
+      node_pointer p_pot =* it;
+      if (p_pot->m_type == leaf_node)
+       return static_cast<leaf_pointer>(p_pot);
+      _GLIBCXX_DEBUG_ASSERT(p_pot->m_type == i_node);
+      return static_cast<inode_pointer>(p_pot)->rightmost_descendant();
+    }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::leaf_const_pointer
+    PB_DS_CLASS_C_DEC::
+    rightmost_descendant() const
+    { return const_cast<inode_pointer>(this)->rightmost_descendant(); }
+
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::size_type
+    PB_DS_CLASS_C_DEC::
+    get_begin_pos() const
+    {
+      size_type i = 0;
+      for (; i < arr_size && m_a_p_children[i] == 0; ++i)
+       ;
+      return i;
+    }
+
+#ifdef _GLIBCXX_DEBUG
+    PB_DS_CLASS_T_DEC
+    typename PB_DS_CLASS_C_DEC::node_debug_info
+    PB_DS_CLASS_C_DEC::
+    assert_valid_imp(a_const_pointer p_traits,
+                    const char* __file, int __line) const
+    {
+      PB_DS_DEBUG_VERIFY(base_type::m_type == i_node);
+      PB_DS_DEBUG_VERIFY(static_cast<size_type>(std::distance(pref_b_it(), pref_e_it())) == m_e_ind);
+      PB_DS_DEBUG_VERIFY(std::distance(begin(), end()) >= 2);
+
+      for (typename _Inode::const_iterator it = begin(); it != end(); ++it)
+       {
+         node_const_pointer p_nd = *it;
+         PB_DS_DEBUG_VERIFY(p_nd->m_p_parent == this);
+         node_debug_info child_ret = p_nd->assert_valid_imp(p_traits,
+                                                            __file, __line);
+
+         PB_DS_DEBUG_VERIFY(static_cast<size_type>(std::distance(child_ret.first, child_ret.second)) >= m_e_ind);
+         PB_DS_DEBUG_VERIFY(should_be_mine(child_ret.first, child_ret.second, 0, p_traits));
+         PB_DS_DEBUG_VERIFY(get_pref_pos(child_ret.first, child_ret.second, p_traits) == static_cast<size_type>(it.m_p_p_cur - m_a_p_children));
+       }
+      return std::make_pair(pref_b_it(), pref_e_it());
+    }
+#endif
+
+#undef PB_DS_CLASS_T_DEC
+#undef PB_DS_CLASS_C_DEC
+  } // namespace detail
+} // namespace __gnu_pbds
+
+#endif