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// -*- C++ -*-

// Copyright (C) 2005, 2006, 2009, 2011 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 binary_heap_/binary_heap_.hpp

 * Contains an implementation class for a binary heap.

 */

#ifndef PB_DS_BINARY_HEAP_HPP

#define PB_DS_BINARY_HEAP_HPP

#include <queue>

#include <algorithm>

#include <ext/pb_ds/detail/cond_dealtor.hpp>

#include <ext/pb_ds/detail/cond_dealtor.hpp>

#include <ext/pb_ds/detail/type_utils.hpp>

#include <ext/pb_ds/detail/binary_heap_/entry_cmp.hpp>

#include <ext/pb_ds/detail/binary_heap_/entry_pred.hpp>

#include <ext/pb_ds/detail/binary_heap_/resize_policy.hpp>

#include <ext/pb_ds/detail/binary_heap_/point_const_iterator.hpp>

#include <ext/pb_ds/detail/binary_heap_/const_iterator.hpp>

#ifdef PB_DS_BINARY_HEAP_TRACE_

#include <iostream>

#endif

#include <ext/pb_ds/detail/type_utils.hpp>

#include <debug/debug.h>

namespace __gnu_pbds

{

  namespace detail

  {

#define PB_DS_CLASS_T_DEC \

    template<typename Value_Type, typename Cmp_Fn, typename _Alloc>

#define PB_DS_CLASS_C_DEC \

    binary_heap<Value_Type, Cmp_Fn, _Alloc>

#define PB_DS_ENTRY_CMP_DEC \

    entry_cmp<Value_Type, Cmp_Fn, _Alloc, is_simple<Value_Type>::value>::type

#define PB_DS_RESIZE_POLICY_DEC \

    __gnu_pbds::detail::resize_policy<typename _Alloc::size_type>

    /**

     *  Binary heaps composed of resize and compare policies.

     *

     *  @ingroup heap-detail

     *

     *  Based on CLRS.

     */

    template<typename Value_Type, typename Cmp_Fn, typename _Alloc>

    class binary_heap

    : public PB_DS_ENTRY_CMP_DEC, public PB_DS_RESIZE_POLICY_DEC

    {

    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 PB_DS_ENTRY_CMP_DEC              entry_cmp;

      typedef PB_DS_RESIZE_POLICY_DEC                   resize_policy;

      typedef cond_dealtor<value_type, _Alloc>          cond_dealtor_t;

    private:

      enum

        {

          simple_value = is_simple<value_type>::value

        };

      typedef integral_constant<int, simple_value>      no_throw_copies_t;

      typedef typename _Alloc::template rebind<value_type>      __rebind_v;

      typedef typename __rebind_v::other                value_allocator;

    public:

      typedef typename value_allocator::pointer         pointer;

      typedef typename value_allocator::const_pointer   const_pointer;

      typedef typename value_allocator::reference       reference;

      typedef typename value_allocator::const_reference const_reference;

      typedef typename __conditional_type<simple_value,

                                          value_type, pointer>::__type

                                                        entry;

      typedef typename _Alloc::template rebind<entry>::other

                                                        entry_allocator;

      typedef typename entry_allocator::pointer         entry_pointer;

      typedef binary_heap_point_const_iterator_<value_type, entry,

                                                simple_value, _Alloc>

                                                        point_const_iterator;

      typedef point_const_iterator                      point_iterator;

      typedef binary_heap_const_iterator_<value_type, entry,

                                          simple_value, _Alloc>

                                                        const_iterator;

      typedef const_iterator                            iterator;

      binary_heap();

      binary_heap(const cmp_fn&);

      binary_heap(const binary_heap&);

      void

      swap(binary_heap&);

      ~binary_heap();

      inline bool

      empty() const;

      inline size_type

      size() const;

      inline size_type

      max_size() const;

      Cmp_Fn&

      get_cmp_fn();

      const Cmp_Fn&

      get_cmp_fn() const;

      inline point_iterator

      push(const_reference);

      void

      modify(point_iterator, const_reference);

      inline const_reference

      top() const;

      inline void

      pop();

      inline void

      erase(point_iterator);

      template<typename Pred>

        size_type

        erase_if(Pred);

      inline void

      erase_at(entry_pointer, size_type, false_type);

      inline void

      erase_at(entry_pointer, size_type, true_type);

      inline iterator

      begin();

      inline const_iterator

      begin() const;

      inline iterator

      end();

      inline const_iterator

      end() const;

      void

      clear();

      template<typename Pred>

        void

        split(Pred, binary_heap&);

      void

      join(binary_heap&);

#ifdef PB_DS_BINARY_HEAP_TRACE_

      void

      trace() const;

#endif

    protected:

      template<typename It>

        void

        copy_from_range(It, It);

    private:

      void

      value_swap(binary_heap&);

      inline void

      insert_value(const_reference, false_type);

      inline void

      insert_value(value_type, true_type);

      inline void

      resize_for_insert_if_needed();

      inline void

      swap_value_imp(entry_pointer, value_type, true_type);

      inline void

      swap_value_imp(entry_pointer, const_reference, false_type);

      void

      fix(entry_pointer);

      inline const_reference

      top_imp(true_type) const;

      inline const_reference

      top_imp(false_type) const;

      inline static size_type

      left_child(size_type);

      inline static size_type

      right_child(size_type);

      inline static size_type

      parent(size_type);

      inline void

      resize_for_erase_if_needed();

      template<typename Pred>

      size_type

      partition(Pred);

      void

      make_heap()

      {

        const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);

        entry_pointer end = m_a_entries + m_size;

        std::make_heap(m_a_entries, end, m_cmp);

        _GLIBCXX_DEBUG_ASSERT(is_heap());

      }

      void

      push_heap()

      {

        if (!is_heap())

          make_heap();

        else

          {

            const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);

            entry_pointer end = m_a_entries + m_size;

            std::push_heap(m_a_entries, end, m_cmp);

          }

      }

      void

      pop_heap()

      {

        const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);

        entry_pointer end = m_a_entries + m_size;

        std::pop_heap(m_a_entries, end, m_cmp);

      }

      bool

      is_heap()

      {

        const entry_cmp& m_cmp = static_cast<entry_cmp&>(*this);

        entry_pointer end = m_a_entries + m_size;

        bool p = std::__is_heap(m_a_entries, end, m_cmp);

        return p;

      }

#ifdef _GLIBCXX_DEBUG

      void

      assert_valid(const char*, int) const;

#endif

#ifdef PB_DS_BINARY_HEAP_TRACE_

      void

      trace_entry(const entry&, false_type) const;

      void

      trace_entry(const entry&, true_type) const;

#endif

      static entry_allocator    s_entry_allocator;

      static value_allocator    s_value_allocator;

      static no_throw_copies_t  s_no_throw_copies_ind;

      size_type                 m_size;

      size_type                 m_actual_size;

      entry_pointer             m_a_entries;

    };

#define PB_DS_ASSERT_VALID(X) \

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

#define PB_DS_DEBUG_VERIFY(_Cond)                                       \

  _GLIBCXX_DEBUG_VERIFY_AT(_Cond,                                       \

                           _M_message(#_Cond" assertion from %1;:%2;")  \

                           ._M_string(__FILE__)._M_integer(__LINE__)    \

                           ,__file,__line)

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

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

#include <ext/pb_ds/detail/binary_heap_/iterators_fn_imps.hpp>

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

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

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

#include <ext/pb_ds/detail/binary_heap_/info_fn_imps.hpp>

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

#include <ext/pb_ds/detail/binary_heap_/split_join_fn_imps.hpp>

#include <ext/pb_ds/detail/binary_heap_/policy_access_fn_imps.hpp>

#undef PB_DS_CLASS_C_DEC

#undef PB_DS_CLASS_T_DEC

#undef PB_DS_ENTRY_CMP_DEC

#undef PB_DS_RESIZE_POLICY_DEC

  } // namespace detail

} // namespace __gnu_pbds

#endif