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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 thin_heap_.hpp

 * Contains an implementation class for a thin heap.

 */

#ifndef PB_DS_THIN_HEAP_HPP

#define PB_DS_THIN_HEAP_HPP

/*

 * Thin heaps.

 * Tarjan and Kaplan.

 */

#include <algorithm>

#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 \

    thin_heap_<Value_Type, Cmp_Fn, Allocator>

#ifdef _GLIBCXX_DEBUG

#define PB_DS_BASE_C_DEC \

    left_child_next_sibling_heap_<Value_Type, Cmp_Fn,   \

                                typename Allocator::size_type, Allocator, true>

#else 

#define PB_DS_BASE_C_DEC                                                \

    left_child_next_sibling_heap_<Value_Type, Cmp_Fn, \

                                  typename Allocator::size_type, Allocator>

#endif 

    /**

     * class description = "t|-|i|\| h34p">

     **/

    template<typename Value_Type, class Cmp_Fn, class Allocator>

    class thin_heap_ : public PB_DS_BASE_C_DEC

    {

    private:

      typedef PB_DS_BASE_C_DEC base_type;

    protected:

      typedef typename base_type::node node;

      typedef typename base_type::node_pointer node_pointer;

      typedef typename base_type::const_node_pointer const_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;

    public:

      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);

      inline void

      clear();

      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:

      thin_heap_();

      thin_heap_(const Cmp_Fn& r_cmp_fn);

      thin_heap_(const PB_DS_CLASS_C_DEC& other);

      void

      swap(PB_DS_CLASS_C_DEC& other);

      ~thin_heap_();

      template<typename It>

      void

      copy_from_range(It first_it, It last_it);

#ifdef _GLIBCXX_DEBUG

      void

      assert_valid() const;

      void

      assert_max() const;

#endif 

#ifdef PB_DS_THIN_HEAP_TRACE_

      void

      trace() const;

#endif 

    private:

      enum

        {

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

        };

    private:

      void

      initialize();

      inline void

      update_max(node_pointer p_nd);

      inline void

      fix(node_pointer p_nd);

      inline void

      fix_root(node_pointer p_y);

      inline void

      fix_sibling_rank_1_unmarked(node_pointer p_y);

      inline void

      fix_sibling_rank_1_marked(node_pointer p_y);

      inline void

      fix_sibling_general_unmarked(node_pointer p_y);

      inline void

      fix_sibling_general_marked(node_pointer p_y);

      inline void

      fix_child(node_pointer p_y);

      inline static void

      make_root(node_pointer p_nd);

      inline void

      make_root_and_link(node_pointer p_nd);

      inline void

      remove_max_node();

      void

      to_aux_except_max();

      inline void

      add_to_aux(node_pointer p_nd);

      inline void

      make_from_aux();

      inline size_type

      rank_bound();

      inline void

      make_child_of(node_pointer p_nd, node_pointer p_new_parent);

      inline void

      remove_node(node_pointer p_nd);

      inline node_pointer

      join(node_pointer p_lhs, node_pointer p_rhs) const;

#ifdef _GLIBCXX_DEBUG

      void

      assert_node_consistent(const_node_pointer p_nd, bool root) const;

      void

      assert_aux_null() const;

#endif 

    private:

      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 */

      };

#include <ext/pb_ds/detail/thin_heap_/constructors_destructor_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_heap_/debug_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_heap_/trace_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_heap_/find_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_heap_/insert_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_heap_/erase_fn_imps.hpp>

#include <ext/pb_ds/detail/thin_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

#endif