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// -*- C++ -*-

// Copyright (C) 2005-2013 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

// .

// 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 thin_heap_/thin_heap_.hpp

 * Contains an implementation class for a thin heap.

 */

#ifndef PB_DS_THIN_HEAP_HPP

#define PB_DS_THIN_HEAP_HPP

#include 

#include 

#include 

#include 

#include 

namespace __gnu_pbds

{

  namespace detail

  {

#define PB_DS_CLASS_T_DEC \

    template

#define PB_DS_CLASS_C_DEC \

    thin_heap

#ifdef _GLIBCXX_DEBUG

#define PB_DS_BASE_T_P \

#else

#define PB_DS_BASE_T_P \

#endif

    /**

     *  Thin heap.

     *

     *  @ingroup heap-detail

     *

     *  See Tarjan and Kaplan.

     */

    template

    class thin_heap

    : public left_child_next_sibling_heap PB_DS_BASE_T_P

    {

    private:

      typedef typename _Alloc::template rebind::other __rebind_a;

      typedef left_child_next_sibling_heap PB_DS_BASE_T_P base_type;

    protected:

      typedef typename base_type::node 			node;

      typedef typename base_type::node_pointer 		node_pointer;

      typedef typename base_type::node_const_pointer 	node_const_pointer;

    public:

      typedef Value_Type 				value_type;

      typedef Cmp_Fn 					cmp_fn;

      typedef _Alloc 					allocator_type;

      typedef typename _Alloc::size_type 		size_type;

      typedef typename _Alloc::difference_type 		difference_type;

      typedef typename __rebind_a::pointer		pointer;

      typedef typename __rebind_a::const_pointer	const_pointer;

      typedef typename __rebind_a::reference		reference;

      typedef typename __rebind_a::const_reference     	const_reference;

      typedef typename base_type::point_iterator 	point_iterator;

      typedef typename base_type::point_const_iterator 	point_const_iterator;

      typedef typename base_type::iterator 		iterator;

      typedef typename base_type::const_iterator 	const_iterator;

      inline point_iterator

      push(const_reference);

      void

      modify(point_iterator, const_reference);

      inline const_reference

      top() const;

      void

      pop();

      void

      erase(point_iterator);

      inline void

      clear();

      template

      size_type

      erase_if(Pred);

      template

      void

      split(Pred, PB_DS_CLASS_C_DEC&);

      void

      join(PB_DS_CLASS_C_DEC&);

    protected:

      thin_heap();

      thin_heap(const Cmp_Fn&);

      thin_heap(const PB_DS_CLASS_C_DEC&);

      void

      swap(PB_DS_CLASS_C_DEC&);

      ~thin_heap();

      template

      void

      copy_from_range(It, It);

#ifdef _GLIBCXX_DEBUG

      void

      assert_valid(const char*, int) const;

      void

      assert_max(const char*, int) const;

#endif

#ifdef PB_DS_THIN_HEAP_TRACE_

      void

      trace() const;

#endif

    private:

      enum

	{

	  max_rank = (sizeof(size_type) << 4) + 2

	};

      void

      initialize();

      inline void

      update_max(node_pointer);

      inline void

      fix(node_pointer);

      inline void

      fix_root(node_pointer);

      inline void

      fix_sibling_rank_1_unmarked(node_pointer);

      inline void

      fix_sibling_rank_1_marked(node_pointer);

      inline void

      fix_sibling_general_unmarked(node_pointer);

      inline void

      fix_sibling_general_marked(node_pointer);

      inline void

      fix_child(node_pointer);

      inline static void

      make_root(node_pointer);

      inline void

      make_root_and_link(node_pointer);

      inline void

      remove_max_node();

      void

      to_aux_except_max();

      inline void

      add_to_aux(node_pointer);

      inline void

      make_from_aux();

      inline size_type

      rank_bound();

      inline void

      make_child_of(node_pointer, node_pointer);

      inline void

      remove_node(node_pointer);

      inline node_pointer

      join(node_pointer, node_pointer) const;

#ifdef _GLIBCXX_DEBUG

      void

      assert_node_consistent(node_const_pointer, bool, const char*, int) const;

      void

      assert_aux_null(const char*, int) const;

#endif

      node_pointer 	m_p_max;

      node_pointer 	m_a_aux[max_rank];

    };

    enum

      {

	num_distinct_rank_bounds = 48

      };

    // Taken from the SGI implementation; acknowledged in the docs.

    static const std::size_t g_a_rank_bounds[num_distinct_rank_bounds] =

      {

	/* Dealing cards... */

	/* 0     */ 0ul,

	/* 1     */ 1ul,

	/* 2     */ 1ul,

	/* 3     */ 2ul,

	/* 4     */ 4ul,

	/* 5     */ 6ul,

	/* 6     */ 11ul,

	/* 7     */ 17ul,

	/* 8     */ 29ul,

	/* 9     */ 46ul,

	/* 10    */ 76ul,

	/* 11    */ 122ul,

	/* 12    */ 199ul,

	/* 13    */ 321ul,

	/* 14    */ 521ul,

	/* 15    */ 842ul,

	/* 16    */ 1364ul,

	/* 17    */ 2206ul,

	/* 18    */ 3571ul,

	/* 19    */ 5777ul,

	/* 20    */ 9349ul,

	/* 21    */ 15126ul,

	/* 22    */ 24476ul,

	/* 23    */ 39602ul,

	/* 24    */ 64079ul,

	/* 25    */ 103681ul,

	/* 26    */ 167761ul,

	/* 27    */ 271442ul,

	/* 28    */ 439204ul,

	/* 29    */ 710646ul,

	/* 30    */ 1149851ul,

	/* 31    */ 1860497ul,

	/* 32    */ 3010349ul,

	/* 33    */ 4870846ul,

	/* 34    */ 7881196ul,

	/* 35    */ 12752042ul,

	/* 36    */ 20633239ul,

	/* 37    */ 33385282ul,

	/* 38    */ 54018521ul,

	/* 39    */ 87403803ul,

	/* 40    */ 141422324ul,

	/* 41    */ 228826127ul,

	/* 42    */ 370248451ul,

	/* 43    */ 599074578ul,

	/* 44    */ 969323029ul,

	/* 45    */ 1568397607ul,

	/* 46    */ 2537720636ul,

	/* 47    */ 4106118243ul

	/* Pot's good, let's play */

      };

#define PB_DS_ASSERT_NODE_CONSISTENT(_Node, _Bool)			\

  _GLIBCXX_DEBUG_ONLY(assert_node_consistent(_Node, _Bool,		\

					     __FILE__, __LINE__);)

#define PB_DS_ASSERT_AUX_NULL(X)					\

  _GLIBCXX_DEBUG_ONLY(X.assert_aux_null(__FILE__, __LINE__);)

#include 

#include 

#include 

#include 

#include 

#include 

#include 

#undef PB_DS_ASSERT_AUX_NULL

#undef PB_DS_ASSERT_NODE_CONSISTENT

#undef PB_DS_CLASS_C_DEC

#undef PB_DS_CLASS_T_DEC

#undef PB_DS_BASE_T_P

  } // namespace detail

} // namespace __gnu_pbds

#endif