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// -*- C++ -*-
 
// Copyright (C) 2005, 2006, 2009 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 pairing_heap_.hpp
 * Contains an implementation class for a pairing heap.
 */
 
/*
 * Pairing heap:
 * Michael L. Fredman, Robert Sedgewick, Daniel Dominic Sleator,
 *    and Robert Endre Tarjan, The Pairing Heap:
 *    A New Form of Self-Adjusting Heap, Algorithmica, 1(1):111-129, 1986.
 */
 
#include <ext/pb_ds/detail/cond_dealtor.hpp>
#include <ext/pb_ds/detail/type_utils.hpp>
#include <ext/pb_ds/detail/left_child_next_sibling_heap_/left_child_next_sibling_heap_.hpp>
#include <ext/pb_ds/detail/left_child_next_sibling_heap_/null_metadata.hpp>
#include <debug/debug.h>
 
namespace __gnu_pbds
{
  namespace detail
  {
 
#define PB_DS_CLASS_T_DEC \
    template<typename Value_Type, class Cmp_Fn, class Allocator>
 
#define PB_DS_CLASS_C_DEC \
    pairing_heap_<Value_Type, Cmp_Fn, Allocator>
 
#ifdef _GLIBCXX_DEBUG
#define PB_DS_BASE_C_DEC \
    left_child_next_sibling_heap_<			\
									Value_Type, \
									Cmp_Fn,	\
									null_left_child_next_sibling_heap_node_metadata, \
									Allocator, \
									false>
#else 
#define PB_DS_BASE_C_DEC						\
    left_child_next_sibling_heap_<			\
									Value_Type, \
									Cmp_Fn,	\
									null_left_child_next_sibling_heap_node_metadata, \
									Allocator>
#endif 
 
    /**
     * class description = "P4ri|\|g h3ap$">
     **/
    template<typename Value_Type, class Cmp_Fn, class Allocator>
    class pairing_heap_ : public PB_DS_BASE_C_DEC
    {
 
    private:
      typedef PB_DS_BASE_C_DEC base_type;
 
      typedef typename base_type::node_pointer node_pointer;
 
    public:
 
      typedef typename Allocator::size_type size_type;
 
      typedef typename Allocator::difference_type difference_type;
 
      typedef Value_Type value_type;
 
      typedef
      typename Allocator::template rebind<
	value_type>::other::pointer
      pointer;
 
      typedef
      typename Allocator::template rebind<
	value_type>::other::const_pointer
      const_pointer;
 
      typedef
      typename Allocator::template rebind<
	value_type>::other::reference
      reference;
 
      typedef
      typename Allocator::template rebind<
	value_type>::other::const_reference
      const_reference;
 
      typedef
      typename PB_DS_BASE_C_DEC::const_point_iterator
      const_point_iterator;
 
      typedef typename PB_DS_BASE_C_DEC::point_iterator point_iterator;
 
      typedef typename PB_DS_BASE_C_DEC::const_iterator const_iterator;
 
      typedef typename PB_DS_BASE_C_DEC::iterator iterator;
 
      typedef Cmp_Fn cmp_fn;
 
      typedef Allocator allocator_type;
 
 
      pairing_heap_();
 
      pairing_heap_(const Cmp_Fn& r_cmp_fn);
 
      pairing_heap_(const PB_DS_CLASS_C_DEC& other);
 
      void
      swap(PB_DS_CLASS_C_DEC& other);
 
      ~pairing_heap_();
 
      inline point_iterator
      push(const_reference r_val);
 
      void
      modify(point_iterator it, const_reference r_new_val);
 
      inline const_reference
      top() const;
 
      void
      pop();
 
      void
      erase(point_iterator it);
 
      template<typename Pred>
      size_type
      erase_if(Pred pred);
 
      template<typename Pred>
      void
      split(Pred pred, PB_DS_CLASS_C_DEC& other);
 
      void
      join(PB_DS_CLASS_C_DEC& other);
 
    protected:
 
      template<typename It>
      void
      copy_from_range(It first_it, It last_it);
 
#ifdef _GLIBCXX_DEBUG
      void
      assert_valid() const;
#endif
 
    private:
 
      inline void
      push_imp(node_pointer p_nd);
 
      node_pointer
      join_node_children(node_pointer p_nd);
 
      node_pointer
      forward_join(node_pointer p_nd, node_pointer p_next);
 
      node_pointer
      back_join(node_pointer p_nd, node_pointer p_next);
 
      void
      remove_node(node_pointer p_nd);
 
    };
 
#include <ext/pb_ds/detail/pairing_heap_/constructors_destructor_fn_imps.hpp>
#include <ext/pb_ds/detail/pairing_heap_/debug_fn_imps.hpp>
#include <ext/pb_ds/detail/pairing_heap_/find_fn_imps.hpp>
#include <ext/pb_ds/detail/pairing_heap_/insert_fn_imps.hpp>
#include <ext/pb_ds/detail/pairing_heap_/erase_fn_imps.hpp>
#include <ext/pb_ds/detail/pairing_heap_/split_join_fn_imps.hpp>
 
#undef PB_DS_CLASS_C_DEC
#undef PB_DS_CLASS_T_DEC
#undef PB_DS_BASE_C_DEC
 
  } // namespace detail
} // namespace __gnu_pbds