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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