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- // // boost heap: d-ary heap as container adaptor
- //
- // Copyright (C) 2010 Tim Blechmann
- //
- // Distributed under the Boost Software License, Version 1.0. (See
- // accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_HEAP_D_ARY_HEAP_HPP
- #define BOOST_HEAP_D_ARY_HEAP_HPP
- #include <algorithm>
- #include <utility>
- #include <vector>
- #include <boost/assert.hpp>
- #include <boost/heap/detail/heap_comparison.hpp>
- #include <boost/heap/detail/mutable_heap.hpp>
- #include <boost/heap/detail/ordered_adaptor_iterator.hpp>
- #include <boost/heap/detail/stable_heap.hpp>
- #ifdef BOOST_HAS_PRAGMA_ONCE
- # pragma once
- #endif
- #ifndef BOOST_DOXYGEN_INVOKED
- # ifdef BOOST_HEAP_SANITYCHECKS
- # define BOOST_HEAP_ASSERT BOOST_ASSERT
- # else
- # define BOOST_HEAP_ASSERT( expression ) static_assert( true, "force semicolon" )
- # endif
- #endif
- namespace boost { namespace heap {
- namespace detail {
- struct nop_index_updater
- {
- template < typename T >
- static void run( T&, std::size_t )
- {}
- };
- typedef parameter::parameters< boost::parameter::required< tag::arity >,
- boost::parameter::optional< tag::allocator >,
- boost::parameter::optional< tag::compare >,
- boost::parameter::optional< tag::stable >,
- boost::parameter::optional< tag::stability_counter_type >,
- boost::parameter::optional< tag::constant_time_size > >
- d_ary_heap_signature;
- /* base class for d-ary heap */
- template < typename T, class BoundArgs, class IndexUpdater >
- class d_ary_heap : private make_heap_base< T, BoundArgs, false >::type
- {
- typedef make_heap_base< T, BoundArgs, false > heap_base_maker;
- typedef typename heap_base_maker::type super_t;
- typedef typename super_t::internal_type internal_type;
- typedef typename boost::allocator_rebind< typename heap_base_maker::allocator_argument, internal_type >::type
- internal_type_allocator;
- typedef std::vector< internal_type, internal_type_allocator > container_type;
- typedef typename container_type::const_iterator container_iterator;
- typedef IndexUpdater index_updater;
- container_type q_;
- static const unsigned int D = parameter::binding< BoundArgs, tag::arity >::type::value;
- template < typename Heap1, typename Heap2 >
- friend struct heap_merge_emulate;
- struct implementation_defined : extract_allocator_types< typename heap_base_maker::allocator_argument >
- {
- typedef T value_type;
- typedef
- typename detail::extract_allocator_types< typename heap_base_maker::allocator_argument >::size_type size_type;
- typedef typename heap_base_maker::compare_argument value_compare;
- typedef typename heap_base_maker::allocator_argument allocator_type;
- struct ordered_iterator_dispatcher
- {
- static size_type max_index( const d_ary_heap* heap )
- {
- return heap->q_.size() - 1;
- }
- static bool is_leaf( const d_ary_heap* heap, size_type index )
- {
- return !heap->not_leaf( index );
- }
- static std::pair< size_type, size_type > get_child_nodes( const d_ary_heap* heap, size_type index )
- {
- BOOST_HEAP_ASSERT( !is_leaf( heap, index ) );
- return std::make_pair( d_ary_heap::first_child_index( index ), heap->last_child_index( index ) );
- }
- static internal_type const& get_internal_value( const d_ary_heap* heap, size_type index )
- {
- return heap->q_[ index ];
- }
- static value_type const& get_value( internal_type const& arg )
- {
- return super_t::get_value( arg );
- }
- };
- typedef detail::ordered_adaptor_iterator< const value_type,
- internal_type,
- d_ary_heap,
- allocator_type,
- typename super_t::internal_compare,
- ordered_iterator_dispatcher >
- ordered_iterator;
- typedef detail::stable_heap_iterator< const value_type, container_iterator, super_t > iterator;
- typedef iterator const_iterator;
- typedef void* handle_type;
- };
- typedef typename implementation_defined::ordered_iterator_dispatcher ordered_iterator_dispatcher;
- public:
- typedef T value_type;
- typedef typename implementation_defined::size_type size_type;
- typedef typename implementation_defined::difference_type difference_type;
- typedef typename implementation_defined::value_compare value_compare;
- typedef typename implementation_defined::allocator_type allocator_type;
- typedef typename implementation_defined::reference reference;
- typedef typename implementation_defined::const_reference const_reference;
- typedef typename implementation_defined::pointer pointer;
- typedef typename implementation_defined::const_pointer const_pointer;
- typedef typename implementation_defined::iterator iterator;
- typedef typename implementation_defined::const_iterator const_iterator;
- typedef typename implementation_defined::ordered_iterator ordered_iterator;
- typedef typename implementation_defined::handle_type handle_type;
- static const bool is_stable = extract_stable< BoundArgs >::value;
- explicit d_ary_heap( value_compare const& cmp = value_compare() ) :
- super_t( cmp )
- {}
- d_ary_heap( d_ary_heap const& rhs ) :
- super_t( rhs ),
- q_( rhs.q_ )
- {}
- d_ary_heap( d_ary_heap&& rhs ) :
- super_t( std::move( rhs ) ),
- q_( std::move( rhs.q_ ) )
- {}
- d_ary_heap& operator=( d_ary_heap&& rhs )
- {
- super_t::operator=( std::move( rhs ) );
- q_ = std::move( rhs.q_ );
- return *this;
- }
- d_ary_heap& operator=( d_ary_heap const& rhs )
- {
- static_cast< super_t& >( *this ) = static_cast< super_t const& >( rhs );
- q_ = rhs.q_;
- return *this;
- }
- bool empty( void ) const
- {
- return q_.empty();
- }
- size_type size( void ) const
- {
- return q_.size();
- }
- size_type max_size( void ) const
- {
- return q_.max_size();
- }
- void clear( void )
- {
- q_.clear();
- }
- allocator_type get_allocator( void ) const
- {
- return q_.get_allocator();
- }
- value_type const& top( void ) const
- {
- BOOST_ASSERT( !empty() );
- return super_t::get_value( q_.front() );
- }
- void push( value_type const& v )
- {
- q_.push_back( super_t::make_node( v ) );
- reset_index( size() - 1, size() - 1 );
- siftup( q_.size() - 1 );
- }
- template < class... Args >
- void emplace( Args&&... args )
- {
- q_.emplace_back( super_t::make_node( std::forward< Args >( args )... ) );
- reset_index( size() - 1, size() - 1 );
- siftup( q_.size() - 1 );
- }
- void pop( void )
- {
- BOOST_ASSERT( !empty() );
- std::swap( q_.front(), q_.back() );
- q_.pop_back();
- if ( q_.empty() )
- return;
- reset_index( 0, 0 );
- siftdown( 0 );
- }
- void swap( d_ary_heap& rhs )
- {
- super_t::swap( rhs );
- q_.swap( rhs.q_ );
- }
- iterator begin( void ) const
- {
- return iterator( q_.begin() );
- }
- iterator end( void ) const
- {
- return iterator( q_.end() );
- }
- ordered_iterator ordered_begin( void ) const
- {
- return ordered_iterator( 0, this, super_t::get_internal_cmp() );
- }
- ordered_iterator ordered_end( void ) const
- {
- return ordered_iterator( size(), this, super_t::get_internal_cmp() );
- }
- void reserve( size_type element_count )
- {
- q_.reserve( element_count );
- }
- value_compare const& value_comp( void ) const
- {
- return super_t::value_comp();
- }
- private:
- void reset_index( size_type index, size_type new_index )
- {
- BOOST_HEAP_ASSERT( index < q_.size() );
- index_updater::run( q_[ index ], new_index );
- }
- void siftdown( size_type index )
- {
- while ( not_leaf( index ) ) {
- size_type max_child_index = top_child_index( index );
- if ( !super_t::operator()( q_[ max_child_index ], q_[ index ] ) ) {
- reset_index( index, max_child_index );
- reset_index( max_child_index, index );
- std::swap( q_[ max_child_index ], q_[ index ] );
- index = max_child_index;
- } else
- return;
- }
- }
- /* returns new index */
- void siftup( size_type index )
- {
- while ( index != 0 ) {
- size_type parent = parent_index( index );
- if ( super_t::operator()( q_[ parent ], q_[ index ] ) ) {
- reset_index( index, parent );
- reset_index( parent, index );
- std::swap( q_[ parent ], q_[ index ] );
- index = parent;
- } else
- return;
- }
- }
- bool not_leaf( size_type index ) const
- {
- const size_t first_child = first_child_index( index );
- return first_child < q_.size();
- }
- size_type top_child_index( size_type index ) const
- {
- // invariant: index is not a leaf, so the iterator range is not empty
- const size_t first_index = first_child_index( index );
- typedef typename container_type::const_iterator container_iterator;
- const container_iterator first_child = q_.begin() + first_index;
- const container_iterator end = q_.end();
- const size_type max_elements = std::distance( first_child, end );
- const container_iterator last_child = ( max_elements > D ) ? first_child + D : end;
- const container_iterator min_element
- = std::max_element( first_child, last_child, static_cast< super_t const& >( *this ) );
- return min_element - q_.begin();
- }
- static size_type parent_index( size_type index )
- {
- return ( index - 1 ) / D;
- }
- static size_type first_child_index( size_type index )
- {
- return index * D + 1;
- }
- size_type last_child_index( size_type index ) const
- {
- const size_t first_index = first_child_index( index );
- const size_type last_index = ( std::min )( first_index + D - 1, size() - 1 );
- return last_index;
- }
- template < typename U, typename V, typename W, typename X >
- struct rebind
- {
- typedef d_ary_heap< U,
- typename d_ary_heap_signature::bind<
- boost::heap::stable< heap_base_maker::is_stable >,
- boost::heap::stability_counter_type< typename heap_base_maker::stability_counter_type >,
- boost::heap::arity< D >,
- boost::heap::compare< V >,
- boost::heap::allocator< W > >::type,
- X >
- other;
- };
- template < class U >
- friend class priority_queue_mutable_wrapper;
- void update( size_type index )
- {
- if ( index == 0 ) {
- siftdown( index );
- return;
- }
- size_type parent = parent_index( index );
- if ( super_t::operator()( q_[ parent ], q_[ index ] ) )
- siftup( index );
- else
- siftdown( index );
- }
- void erase( size_type index )
- {
- while ( index != 0 ) {
- size_type parent = parent_index( index );
- reset_index( index, parent );
- reset_index( parent, index );
- std::swap( q_[ parent ], q_[ index ] );
- index = parent;
- }
- pop();
- }
- void increase( size_type index )
- {
- siftup( index );
- }
- void decrease( size_type index )
- {
- siftdown( index );
- }
- };
- template < typename T, typename BoundArgs >
- struct select_dary_heap
- {
- static const bool is_mutable = extract_mutable< BoundArgs >::value;
- typedef typename std::conditional< is_mutable,
- priority_queue_mutable_wrapper< d_ary_heap< T, BoundArgs, nop_index_updater > >,
- d_ary_heap< T, BoundArgs, nop_index_updater > >::type type;
- };
- } /* namespace detail */
- /**
- * \class d_ary_heap
- * \brief d-ary heap class
- *
- * This class implements an immutable priority queue. Internally, the d-ary heap is represented
- * as dynamically sized array (std::vector), that directly stores the values.
- *
- * The template parameter T is the type to be managed by the container.
- * The user can specify additional options and if no options are provided default options are used.
- *
- * The container supports the following options:
- * - \c boost::heap::arity<>, required
- * - \c boost::heap::compare<>, defaults to \c compare<std::less<T> >
- * - \c boost::heap::stable<>, defaults to \c stable<false>
- * - \c boost::heap::stability_counter_type<>, defaults to \c stability_counter_type<boost::uintmax_t>
- * - \c boost::heap::allocator<>, defaults to \c allocator<std::allocator<T> >
- * - \c boost::heap::mutable_<>, defaults to \c mutable_<false>
- *
- */
- #ifdef BOOST_DOXYGEN_INVOKED
- template < class T, class... Options >
- #else
- template < typename T,
- class A0 = boost::parameter::void_,
- class A1 = boost::parameter::void_,
- class A2 = boost::parameter::void_,
- class A3 = boost::parameter::void_,
- class A4 = boost::parameter::void_,
- class A5 = boost::parameter::void_ >
- #endif
- class d_ary_heap :
- public detail::select_dary_heap< T, typename detail::d_ary_heap_signature::bind< A0, A1, A2, A3, A4, A5 >::type >::type
- {
- typedef typename detail::d_ary_heap_signature::bind< A0, A1, A2, A3, A4, A5 >::type bound_args;
- typedef typename detail::select_dary_heap< T, bound_args >::type super_t;
- template < typename Heap1, typename Heap2 >
- friend struct heap_merge_emulate;
- #ifndef BOOST_DOXYGEN_INVOKED
- static const bool is_mutable = detail::extract_mutable< bound_args >::value;
- # define BOOST_HEAP_TYPEDEF_FROM_SUPER_T( NAME ) typedef typename super_t::NAME NAME;
- struct implementation_defined
- {
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( size_type )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( difference_type )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( value_compare )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( allocator_type )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( reference )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( const_reference )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( pointer )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( const_pointer )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( iterator )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( const_iterator )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( ordered_iterator )
- BOOST_HEAP_TYPEDEF_FROM_SUPER_T( handle_type )
- };
- # undef BOOST_HEAP_TYPEDEF_FROM_SUPER_T
- #endif
- public:
- static const bool constant_time_size = true;
- static const bool has_ordered_iterators = true;
- static const bool is_mergable = false;
- static const bool has_reserve = true;
- static const bool is_stable = super_t::is_stable;
- typedef T value_type;
- typedef typename implementation_defined::size_type size_type;
- typedef typename implementation_defined::difference_type difference_type;
- typedef typename implementation_defined::value_compare value_compare;
- typedef typename implementation_defined::allocator_type allocator_type;
- typedef typename implementation_defined::reference reference;
- typedef typename implementation_defined::const_reference const_reference;
- typedef typename implementation_defined::pointer pointer;
- typedef typename implementation_defined::const_pointer const_pointer;
- /// \copydoc boost::heap::priority_queue::iterator
- typedef typename implementation_defined::iterator iterator;
- typedef typename implementation_defined::const_iterator const_iterator;
- typedef typename implementation_defined::ordered_iterator ordered_iterator;
- typedef typename implementation_defined::handle_type handle_type;
- /// \copydoc boost::heap::priority_queue::priority_queue(value_compare const &)
- explicit d_ary_heap( value_compare const& cmp = value_compare() ) :
- super_t( cmp )
- {}
- /// \copydoc boost::heap::priority_queue::priority_queue(priority_queue const &)
- d_ary_heap( d_ary_heap const& rhs ) :
- super_t( rhs )
- {}
- /// \copydoc boost::heap::priority_queue::priority_queue(priority_queue &&)
- d_ary_heap( d_ary_heap&& rhs ) :
- super_t( std::move( rhs ) )
- {}
- /// \copydoc boost::heap::priority_queue::operator=(priority_queue &&)
- d_ary_heap& operator=( d_ary_heap&& rhs )
- {
- super_t::operator=( std::move( rhs ) );
- return *this;
- }
- /// \copydoc boost::heap::priority_queue::operator=(priority_queue const &)
- d_ary_heap& operator=( d_ary_heap const& rhs )
- {
- super_t::operator=( rhs );
- return *this;
- }
- /// \copydoc boost::heap::priority_queue::empty
- bool empty( void ) const
- {
- return super_t::empty();
- }
- /// \copydoc boost::heap::priority_queue::size
- size_type size( void ) const
- {
- return super_t::size();
- }
- /// \copydoc boost::heap::priority_queue::max_size
- size_type max_size( void ) const
- {
- return super_t::max_size();
- }
- /// \copydoc boost::heap::priority_queue::clear
- void clear( void )
- {
- super_t::clear();
- }
- /// \copydoc boost::heap::priority_queue::get_allocator
- allocator_type get_allocator( void ) const
- {
- return super_t::get_allocator();
- }
- /// \copydoc boost::heap::priority_queue::top
- value_type const& top( void ) const
- {
- return super_t::top();
- }
- /// \copydoc boost::heap::priority_queue::push
- typename std::conditional< is_mutable, handle_type, void >::type push( value_type const& v )
- {
- return super_t::push( v );
- }
- /// \copydoc boost::heap::priority_queue::emplace
- template < class... Args >
- typename std::conditional< is_mutable, handle_type, void >::type emplace( Args&&... args )
- {
- return super_t::emplace( std::forward< Args >( args )... );
- }
- /// \copydoc boost::heap::priority_queue::operator<(HeapType const & rhs) const
- template < typename HeapType >
- bool operator<( HeapType const& rhs ) const
- {
- return detail::heap_compare( *this, rhs );
- }
- /// \copydoc boost::heap::priority_queue::operator>(HeapType const & rhs) const
- template < typename HeapType >
- bool operator>( HeapType const& rhs ) const
- {
- return detail::heap_compare( rhs, *this );
- }
- /// \copydoc boost::heap::priority_queue::operator>=(HeapType const & rhs) const
- template < typename HeapType >
- bool operator>=( HeapType const& rhs ) const
- {
- return !operator<( rhs );
- }
- /// \copydoc boost::heap::priority_queue::operator<=(HeapType const & rhs) const
- template < typename HeapType >
- bool operator<=( HeapType const& rhs ) const
- {
- return !operator>( rhs );
- }
- /// \copydoc boost::heap::priority_queue::operator==(HeapType const & rhs) const
- template < typename HeapType >
- bool operator==( HeapType const& rhs ) const
- {
- return detail::heap_equality( *this, rhs );
- }
- /// \copydoc boost::heap::priority_queue::operator!=(HeapType const & rhs) const
- template < typename HeapType >
- bool operator!=( HeapType const& rhs ) const
- {
- return !( *this == rhs );
- }
- /**
- * \b Effects: Assigns \c v to the element handled by \c handle & updates the priority queue.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void update( handle_type handle, const_reference v )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::update( handle, v );
- }
- /**
- * \b Effects: Updates the heap after the element handled by \c handle has been changed.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Note: If this is not called, after a handle has been updated, the behavior of the data structure is undefined!
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void update( handle_type handle )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::update( handle );
- }
- /**
- * \b Effects: Assigns \c v to the element handled by \c handle & updates the priority queue.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Note: The new value is expected to be greater than the current one
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void increase( handle_type handle, const_reference v )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::increase( handle, v );
- }
- /**
- * \b Effects: Updates the heap after the element handled by \c handle has been changed.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Note: The new value is expected to be greater than the current one. If this is not called, after a handle has
- * been updated, the behavior of the data structure is undefined!
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void increase( handle_type handle )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::increase( handle );
- }
- /**
- * \b Effects: Assigns \c v to the element handled by \c handle & updates the priority queue.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Note: The new value is expected to be less than the current one
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void decrease( handle_type handle, const_reference v )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::decrease( handle, v );
- }
- /**
- * \b Effects: Updates the heap after the element handled by \c handle has been changed.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Note: The new value is expected to be less than the current one. If this is not called, after a handle has
- * been updated, the behavior of the data structure is undefined!
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void decrease( handle_type handle )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::decrease( handle );
- }
- /**
- * \b Effects: Removes the element handled by \c handle from the priority_queue.
- *
- * \b Complexity: Logarithmic.
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- void erase( handle_type handle )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- super_t::erase( handle );
- }
- /**
- * \b Effects: Casts an iterator to a node handle.
- *
- * \b Complexity: Constant.
- *
- * \b Requirement: data structure must be configured as mutable
- * */
- static handle_type s_handle_from_iterator( iterator const& it )
- {
- BOOST_STATIC_ASSERT( is_mutable );
- return super_t::s_handle_from_iterator( it );
- }
- /// \copydoc boost::heap::priority_queue::pop
- void pop( void )
- {
- super_t::pop();
- }
- /// \copydoc boost::heap::priority_queue::swap
- void swap( d_ary_heap& rhs )
- {
- super_t::swap( rhs );
- }
- /// \copydoc boost::heap::priority_queue::begin
- const_iterator begin( void ) const
- {
- return super_t::begin();
- }
- /// \copydoc boost::heap::priority_queue::begin
- iterator begin( void )
- {
- return super_t::begin();
- }
- /// \copydoc boost::heap::priority_queue::end
- iterator end( void )
- {
- return super_t::end();
- }
- /// \copydoc boost::heap::priority_queue::end
- const_iterator end( void ) const
- {
- return super_t::end();
- }
- /// \copydoc boost::heap::fibonacci_heap::ordered_begin
- ordered_iterator ordered_begin( void ) const
- {
- return super_t::ordered_begin();
- }
- /// \copydoc boost::heap::fibonacci_heap::ordered_end
- ordered_iterator ordered_end( void ) const
- {
- return super_t::ordered_end();
- }
- /// \copydoc boost::heap::priority_queue::reserve
- void reserve( size_type element_count )
- {
- super_t::reserve( element_count );
- }
- /// \copydoc boost::heap::priority_queue::value_comp
- value_compare const& value_comp( void ) const
- {
- return super_t::value_comp();
- }
- };
- }} // namespace boost::heap
- #undef BOOST_HEAP_ASSERT
- #endif /* BOOST_HEAP_D_ARY_HEAP_HPP */
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