// -*- C++ -*-

// Copyright (C) 2005, 2006, 2007, 2009, 2010 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 internal_node.hpp
 * Contains an internal PB_DS_BASE_C_DEC for a patricia tree.
 */

#ifndef PB_DS_PAT_TRIE_INTERNAL_NODE_HPP
#define PB_DS_PAT_TRIE_INTERNAL_NODE_HPP

#include <debug/debug.h>

namespace __gnu_pbds
{
  namespace detail
  {
#define PB_DS_CLASS_T_DEC \
    template<typename Type_Traits, typename E_Access_Traits,  \
	     typename Metadata, typename Allocator>

#define PB_DS_CLASS_C_DEC \
    pat_trie_internal_node<Type_Traits, E_Access_Traits, Metadata, Allocator>

#define PB_DS_BASE_C_DEC \
    pat_trie_node_base<Type_Traits, E_Access_Traits, Metadata, Allocator>

#define PB_DS_LEAF_C_DEC \
    pat_trie_leaf<Type_Traits, E_Access_Traits, Metadata, Allocator>

    template<typename Type_Traits,
	     typename E_Access_Traits,
	     typename Metadata,
	     typename Allocator>
    struct pat_trie_internal_node : public PB_DS_BASE_C_DEC
    {
    private:
      typedef PB_DS_BASE_C_DEC 			base_type;
      typedef Type_Traits 			type_traits;
      typedef typename type_traits::value_type 	value_type;
      typedef typename Allocator::size_type 	size_type;

      typedef E_Access_Traits e_access_traits;
      typedef typename e_access_traits::const_iterator const_e_iterator;
      typedef typename Allocator::template rebind<e_access_traits>::other access_rebind;
      typedef typename access_rebind::const_pointer const_e_access_traits_pointer;

      typedef typename Allocator::template rebind<base_type>::other base_rebind;
      typedef typename base_rebind::pointer node_pointer;
      typedef typename base_rebind::const_pointer const_node_pointer;

      typedef PB_DS_LEAF_C_DEC leaf;
      typedef typename Allocator::template rebind<leaf>::other leaf_rebind;
      typedef typename leaf_rebind::pointer leaf_pointer;
      typedef typename leaf_rebind::const_pointer const_leaf_pointer;

      typedef typename Allocator::template rebind<pat_trie_internal_node>::other internal_node_rebind;
      typedef typename internal_node_rebind::pointer internal_node_pointer;
      typedef typename internal_node_rebind::const_pointer const_internal_node_pointer;

#ifdef _GLIBCXX_DEBUG
      typedef typename base_type::subtree_debug_info subtree_debug_info;

      virtual subtree_debug_info
      assert_valid_imp(const_e_access_traits_pointer) const;
#endif 

      inline size_type
      get_pref_pos(const_e_iterator, const_e_iterator, 
		   const_e_access_traits_pointer) const;

    public:
      typedef typename Allocator::template rebind<node_pointer>::other node_pointer_rebind;
      typedef typename node_pointer_rebind::pointer node_pointer_pointer;
      typedef typename node_pointer_rebind::reference node_pointer_reference;

      enum
	{
	  arr_size = E_Access_Traits::max_size + 1
	};
      PB_DS_STATIC_ASSERT(min_arr_size, arr_size >= 2);

#include <ext/pb_ds/detail/pat_trie_/const_child_iterator.hpp>
#include <ext/pb_ds/detail/pat_trie_/child_iterator.hpp>

      pat_trie_internal_node(size_type, const const_e_iterator);

      void
      update_prefixes(const_e_access_traits_pointer);

      const_iterator
      begin() const;

      iterator
      begin();

      const_iterator
      end() const;

      iterator
      end();

      inline node_pointer
      get_child_node(const_e_iterator, const_e_iterator, 
		     const_e_access_traits_pointer);

      inline const_node_pointer
      get_child_node(const_e_iterator, const_e_iterator, 
		     const_e_access_traits_pointer) const;

      inline iterator
      get_child_it(const_e_iterator, const_e_iterator, 
		   const_e_access_traits_pointer);

      inline node_pointer
      get_lower_bound_child_node(const_e_iterator, const_e_iterator, 
				 size_type, const_e_access_traits_pointer);

      inline node_pointer
      add_child(node_pointer, const_e_iterator, const_e_iterator, 
		const_e_access_traits_pointer);

      inline const_node_pointer
      get_join_child(const_node_pointer, const_e_access_traits_pointer) const;

      inline node_pointer
      get_join_child(node_pointer, const_e_access_traits_pointer);

      void
      remove_child(node_pointer p_nd);

      iterator
      remove_child(iterator it);

      void
      replace_child(node_pointer, const_e_iterator, const_e_iterator, 
		    const_e_access_traits_pointer);

      inline const_e_iterator
      pref_b_it() const;

      inline const_e_iterator
      pref_e_it() const;

      inline size_type
      get_e_ind() const;

      bool
      should_be_mine(const_e_iterator, const_e_iterator, size_type, 
		     const_e_access_traits_pointer) const;

      leaf_pointer
      leftmost_descendant();

      const_leaf_pointer
      leftmost_descendant() const;

      leaf_pointer
      rightmost_descendant();

      const_leaf_pointer
      rightmost_descendant() const;

#ifdef _GLIBCXX_DEBUG
      size_type
      e_ind() const;
#endif 

    private:
      pat_trie_internal_node(const pat_trie_internal_node&);

      size_type
      get_begin_pos() const;

      const size_type m_e_ind;
      const_e_iterator m_pref_b_it;
      const_e_iterator m_pref_e_it;
      node_pointer m_a_p_children[arr_size];
      static leaf_rebind s_leaf_alloc;
      static internal_node_rebind s_internal_node_alloc;
    };

    PB_DS_CLASS_T_DEC
    typename PB_DS_CLASS_C_DEC::leaf_rebind
    PB_DS_CLASS_C_DEC::s_leaf_alloc;

    PB_DS_CLASS_T_DEC
    typename PB_DS_CLASS_C_DEC::internal_node_rebind
    PB_DS_CLASS_C_DEC::s_internal_node_alloc;

    PB_DS_CLASS_T_DEC
    inline typename PB_DS_CLASS_C_DEC::size_type
    PB_DS_CLASS_C_DEC::
    get_pref_pos(const_e_iterator b_it, const_e_iterator e_it, 
		 const_e_access_traits_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::
    pat_trie_internal_node(size_type len, const const_e_iterator it) :
      PB_DS_BASE_C_DEC(pat_trie_internal_node_type),
      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(const_e_access_traits_pointer p_traits)
    {
      node_pointer p_first = *begin();
      if (p_first->m_type == pat_trie_leaf_node_type)
	{
	  const_leaf_pointer p = static_cast<const_leaf_pointer>(p_first);
	  m_pref_b_it = p_traits->begin(e_access_traits::extract_key(p->value()));
	}
      else
	{
	  _GLIBCXX_DEBUG_ASSERT(p_first->m_type == pat_trie_internal_node_type);
	  m_pref_b_it = static_cast<internal_node_pointer>(p_first)->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(const_e_iterator b_it, const_e_iterator e_it, 
		   const_e_access_traits_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(const_e_iterator b_it, const_e_iterator e_it, 
		 const_e_access_traits_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::const_node_pointer
    PB_DS_CLASS_C_DEC::
    get_child_node(const_e_iterator b_it, const_e_iterator e_it, 
		   const_e_access_traits_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(const_e_iterator b_it, const_e_iterator e_it, 
			       size_type checked_ind, 
			       const_e_access_traits_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)
	  {
	    if (m_a_p_children[i]->m_type == pat_trie_leaf_node_type)
	      return m_a_p_children[i];

	    _GLIBCXX_DEBUG_ASSERT(m_a_p_children[i]->m_type == pat_trie_internal_node_type);

	    return static_cast<internal_node_pointer>(m_a_p_children[i])->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, const_e_iterator b_it, const_e_iterator e_it, 
	      const_e_access_traits_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::const_node_pointer
    PB_DS_CLASS_C_DEC::
    get_join_child(const_node_pointer p_nd, const_e_access_traits_pointer p_traits) const
    {
      node_pointer p = const_cast<node_pointer>(p_nd);
      return const_cast<internal_node_pointer>(this)->get_join_child(p, p_traits);
    }

    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, const_e_access_traits_pointer p_traits)
    {
      size_type i;
      const_e_iterator b_it;
      const_e_iterator e_it;
      if (p_nd->m_type == pat_trie_leaf_node_type)
	{
	  typename Type_Traits::const_key_reference r_key =
	    e_access_traits::extract_key(static_cast<const_leaf_pointer>(p_nd)->value());

	  b_it = p_traits->begin(r_key);
	  e_it = p_traits->end(r_key);
	}
      else
	{
	  b_it = static_cast<internal_node_pointer>(p_nd)->pref_b_it();
	  e_it = static_cast<internal_node_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
    typename PB_DS_CLASS_C_DEC::iterator
    PB_DS_CLASS_C_DEC::
    remove_child(iterator it)
    {
      iterator ret = it;
      ++ret;
      * it.m_p_p_cur = 0;
      return ret;
    }

    PB_DS_CLASS_T_DEC
    void
    PB_DS_CLASS_C_DEC::
    replace_child(node_pointer p_nd, const_e_iterator b_it, 
		  const_e_iterator e_it, 
		  const_e_access_traits_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::const_e_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::const_e_iterator
    PB_DS_CLASS_C_DEC::
    pref_e_it() const
    { return m_pref_e_it; }

    PB_DS_CLASS_T_DEC
    inline typename PB_DS_CLASS_C_DEC::size_type
    PB_DS_CLASS_C_DEC::
    get_e_ind() const
    { return m_e_ind; }

    PB_DS_CLASS_T_DEC
    bool
    PB_DS_CLASS_C_DEC::
    should_be_mine(const_e_iterator b_it, const_e_iterator e_it, 
		   size_type checked_ind, 
		   const_e_access_traits_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;

      const_e_iterator key_b_it = b_it;
      std::advance(key_b_it, checked_ind);
      const_e_iterator key_e_it = b_it;
      std::advance(key_e_it, m_e_ind);

      const_e_iterator value_b_it = m_pref_b_it;
      std::advance(value_b_it, checked_ind);
      const_e_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 == pat_trie_leaf_node_type)
	return (static_cast<leaf_pointer>(p_pot));
      _GLIBCXX_DEBUG_ASSERT(p_pot->m_type == pat_trie_internal_node_type);
      return static_cast<internal_node_pointer>(p_pot)->leftmost_descendant();
    }

    PB_DS_CLASS_T_DEC
    typename PB_DS_CLASS_C_DEC::const_leaf_pointer
    PB_DS_CLASS_C_DEC::
    leftmost_descendant() const
    {
      return const_cast<internal_node_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 == pat_trie_leaf_node_type)
	return static_cast<leaf_pointer>(p_pot);
      _GLIBCXX_DEBUG_ASSERT(p_pot->m_type == pat_trie_internal_node_type);
      return static_cast<internal_node_pointer>(p_pot)->rightmost_descendant();
    }

    PB_DS_CLASS_T_DEC
    typename PB_DS_CLASS_C_DEC::const_leaf_pointer
    PB_DS_CLASS_C_DEC::
    rightmost_descendant() const
    {
      return const_cast<internal_node_pointer>(this)->rightmost_descendant();
    }

#ifdef _GLIBCXX_DEBUG
    PB_DS_CLASS_T_DEC
    typename PB_DS_CLASS_C_DEC::size_type
    PB_DS_CLASS_C_DEC::
    e_ind() const
    { return m_e_ind; }
#endif 

    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;
      for (i = 0; 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::subtree_debug_info
    PB_DS_CLASS_C_DEC::
    assert_valid_imp(const_e_access_traits_pointer p_traits) const
    {
      _GLIBCXX_DEBUG_ASSERT(base_type::m_type == pat_trie_internal_node_type);
      _GLIBCXX_DEBUG_ASSERT(static_cast<size_type>(std::distance(pref_b_it(), pref_e_it())) == m_e_ind);
      _GLIBCXX_DEBUG_ASSERT(std::distance(begin(), end()) >= 2);

      for (typename pat_trie_internal_node::const_iterator it = begin();
	   it != end(); ++it)
	{
	  const_node_pointer p_nd =* it;
	  _GLIBCXX_DEBUG_ASSERT(p_nd->m_p_parent == this);
	  subtree_debug_info child_ret = p_nd->assert_valid_imp(p_traits);

	  _GLIBCXX_DEBUG_ASSERT(static_cast<size_type>(std::distance(child_ret.first, child_ret.second)) >= m_e_ind);
	  _GLIBCXX_DEBUG_ASSERT(should_be_mine(child_ret.first, child_ret.second, 0, p_traits));
	  _GLIBCXX_DEBUG_ASSERT(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
#undef PB_DS_BASE_C_DEC
#undef PB_DS_LEAF_C_DEC

  } // namespace detail
} // namespace __gnu_pbds

#endif