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+/* Copyright 2003-2014 Joaquin M Lopez Munoz.
+ * 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)
+ *
+ * See http://www.boost.org/libs/multi_index for library home page.
+ */
+
+#ifndef BOOST_MULTI_INDEX_DETAIL_HASH_INDEX_NODE_HPP
+#define BOOST_MULTI_INDEX_DETAIL_HASH_INDEX_NODE_HPP
+
+#if defined(_MSC_VER)
+#pragma once
+#endif
+
+#include <boost/config.hpp> /* keep it first to prevent nasty warns in MSVC */
+#include <boost/detail/allocator_utilities.hpp>
+#include <utility>
+
+namespace boost{
+
+namespace multi_index{
+
+namespace detail{
+
+/* Certain C++ requirements on unordered associative containers (see LWG issue
+ * #579) imply a data structure where nodes are linked in a single list, which
+ * in its turn forces implementors to add additional overhed per node to
+ * associate each with its corresponding bucket. Others resort to storing hash
+ * values, we use an alternative structure providing unconditional O(1)
+ * manipulation, even in situations of unfair hash distribution, plus some
+ * lookup speedups. For unique indices we maintain a doubly linked list of
+ * nodes except that if N is the first node of a bucket its associated
+ * bucket node is embedded between N and the preceding node in the following
+ * manner:
+ *
+ *        +---+   +---+       +---+   +---+
+ *     <--+   |<--+   |    <--+   |<--+   |
+ *   ...  | B0|   | B1|  ...  | B1|   | B2|  ...
+ *        |   |-+ |   +-->    |   |-+ |   +-->
+ *        +-+-+ | +---+       +-+-+ | +---+
+ *              |   ^               |   ^
+ *              |   |               |   |
+ *              | +-+               | +-+
+ *              | |                 | |
+ *              v |                 v |  
+ *       --+---+---+---+--   --+---+---+---+--
+ *     ... |   | B1|   |  ...  |   | B2|   | ...
+ *       --+---+---+---+--   --+---+---+---+--
+ *
+ *
+ * The fist and last nodes of buckets can be checked with
+ *
+ *   first node of a bucket: Npn != N
+ *   last node of a bucket:  Nnp != N
+ *
+ * (n and p short for ->next(), ->prior(), bucket nodes have prior pointers
+ * only). Pure insert and erase (without lookup) can be unconditionally done
+ * in O(1).
+ * For non-unique indices we add the following additional complexity: when
+ * there is a group of 3 or more equivalent elements, they are linked as
+ * follows:
+ *
+ *         +-----------------------+
+ *         |                       v
+ *   +---+ | +---+       +---+   +---+
+ *   |   | +-+   |       |   |<--+   |
+ *   | F |   | S |  ...  | P |   | L |
+ *   |   +-->|   |       |   +-+ |   |
+ *   +---+   +---+       +---+ | +---+
+ *     ^                       |
+ *     +-----------------------+
+ * 
+ * F, S, P and L are the first, second, penultimate and last node in the
+ * group, respectively (S and P can coincide if the group has size 3.) This
+ * arrangement is used to skip equivalent elements in O(1) when doing lookup,
+ * while preserving O(1) insert/erase. The following invariants identify
+ * special positions (some of the operations have to be carefully implemented
+ * as Xnn is not valid if Xn points to a bucket):
+ *
+ *   first node of a bucket: Npnp  == N
+ *   last node of a bucket:  Nnpp  == N
+ *   first node of a group:  Nnp != N && Nnppn == N
+ *   second node of a group: Npn != N && Nppnn == N
+ *   n-1 node of a group:    Nnp != N && Nnnpp == N
+ *   last node of a group:   Npn != N && Npnnp == N
+ * 
+ * The memory overhead is one pointer per bucket plus two pointers per node,
+ * probably unbeatable. The resulting structure is bidirectonally traversable,
+ * though currently we are just providing forward iteration.
+ */
+
+template<typename Allocator>
+struct hashed_index_node_impl;
+
+/* half-header (only prior() pointer) to use for the bucket array */
+
+template<typename Allocator>
+struct hashed_index_base_node_impl
+{
+  typedef typename
+  boost::detail::allocator::rebind_to<
+      Allocator,hashed_index_base_node_impl
+  >::type::pointer                          base_pointer;
+  typedef typename
+  boost::detail::allocator::rebind_to<
+    Allocator,hashed_index_base_node_impl
+  >::type::const_pointer                    const_base_pointer;
+  typedef typename
+  boost::detail::allocator::rebind_to<
+    Allocator,
+    hashed_index_node_impl<Allocator>
+  >::type::pointer                          pointer;
+  typedef typename
+  boost::detail::allocator::rebind_to<
+    Allocator,
+    hashed_index_node_impl<Allocator>
+  >::type::const_pointer                    const_pointer;
+
+  pointer& prior(){return prior_;}
+  pointer  prior()const{return prior_;}
+
+private:
+  pointer prior_;
+};
+
+/* full header (prior() and next()) for the nodes */
+
+template<typename Allocator>
+struct hashed_index_node_impl:hashed_index_base_node_impl<Allocator>
+{
+private:
+  typedef hashed_index_base_node_impl<Allocator> super;
+
+public:  
+  typedef typename super::base_pointer           base_pointer;
+  typedef typename super::const_base_pointer     const_base_pointer;
+  typedef typename super::pointer                pointer;
+  typedef typename super::const_pointer          const_pointer;
+
+  base_pointer& next(){return next_;}
+  base_pointer  next()const{return next_;}
+
+  static pointer pointer_from(base_pointer x)
+  {
+    return static_cast<pointer>(static_cast<hashed_index_node_impl*>(&*x));
+  }
+
+  static base_pointer base_pointer_from(pointer x)
+  {
+    return static_cast<base_pointer>(&*x);
+  }
+
+private:
+  base_pointer next_;
+};
+
+/* Boost.MultiIndex requires machinery to reverse unlink operations. A simple
+ * way to make a pointer-manipulation function undoable is to templatize
+ * its internal pointer assignments with a functor that, besides doing the
+ * assignment, keeps track of the original pointer values and can later undo
+ * the operations in reverse order.
+ */
+
+struct default_assigner
+{
+  template<typename T> void operator()(T& x,const T& val){x=val;}
+};
+
+template<typename Node>
+struct unlink_undo_assigner
+{
+  typedef typename Node::base_pointer base_pointer;
+  typedef typename Node::pointer      pointer;
+
+  unlink_undo_assigner():pointer_track_count(0),base_pointer_track_count(0){}
+
+  void operator()(pointer& x,pointer val)
+  {
+    pointer_tracks[pointer_track_count].x=&x;
+    pointer_tracks[pointer_track_count++].val=x;
+    x=val;
+  }
+
+  void operator()(base_pointer& x,base_pointer val)
+  {
+    base_pointer_tracks[base_pointer_track_count].x=&x;
+    base_pointer_tracks[base_pointer_track_count++].val=x;
+    x=val;
+  }
+
+  void operator()() /* undo op */
+  {
+    /* in the absence of aliasing, restitution order is immaterial */
+
+    while(pointer_track_count--){
+      *(pointer_tracks[pointer_track_count].x)=
+        pointer_tracks[pointer_track_count].val;
+    }
+    while(base_pointer_track_count--){
+      *(base_pointer_tracks[base_pointer_track_count].x)=
+        base_pointer_tracks[base_pointer_track_count].val;
+    }
+  }
+
+  struct pointer_track     {pointer*      x; pointer      val;};
+  struct base_pointer_track{base_pointer* x; base_pointer val;};
+
+  /* We know the maximum number of pointer and base pointer assignments that
+   * the two unlink versions do, so we can statically reserve the needed
+   * storage.
+   */
+
+  pointer_track      pointer_tracks[3];
+  int                pointer_track_count;
+  base_pointer_track base_pointer_tracks[2];
+  int                base_pointer_track_count;
+};
+
+/* algorithmic stuff for unique and non-unique variants */
+
+struct hashed_unique_tag{};
+struct hashed_non_unique_tag{};
+
+template<typename Node,typename Category>
+struct hashed_index_node_alg;
+
+template<typename Node>
+struct hashed_index_node_alg<Node,hashed_unique_tag>
+{
+  typedef typename Node::base_pointer       base_pointer;
+  typedef typename Node::const_base_pointer const_base_pointer;
+  typedef typename Node::pointer            pointer;
+  typedef typename Node::const_pointer      const_pointer;
+
+  static bool is_first_of_bucket(pointer x)
+  {
+    return x->prior()->next()!=base_pointer_from(x);
+  }
+
+  static pointer after(pointer x)
+  {
+    return is_last_of_bucket(x)?x->next()->prior():pointer_from(x->next());
+  }
+
+  static pointer after_local(pointer x)
+  {
+    return is_last_of_bucket(x)?pointer(0):pointer_from(x->next());
+  }
+
+  static pointer next_to_inspect(pointer x)
+  {
+    return is_last_of_bucket(x)?pointer(0):pointer_from(x->next());
+  }
+
+  static void link(pointer x,base_pointer buc,pointer end)
+  {
+    if(buc->prior()==pointer(0)){ /* empty bucket */
+      x->prior()=end->prior();
+      x->next()=end->prior()->next();
+      x->prior()->next()=buc;
+      buc->prior()=x;
+      end->prior()=x;
+    }
+    else{
+      x->prior()=buc->prior()->prior();
+      x->next()=base_pointer_from(buc->prior());
+      buc->prior()=x;
+      x->next()->prior()=x;
+    }
+  }
+
+  static void unlink(pointer x)
+  {
+    default_assigner assign;
+    unlink(x,assign);
+  }
+
+  typedef unlink_undo_assigner<Node> unlink_undo;
+
+  template<typename Assigner>
+  static void unlink(pointer x,Assigner& assign)
+  {
+    if(is_first_of_bucket(x)){
+      if(is_last_of_bucket(x)){
+        assign(x->prior()->next()->prior(),pointer(0));
+        assign(x->prior()->next(),x->next());
+        assign(x->next()->prior()->prior(),x->prior());
+      }
+      else{
+        assign(x->prior()->next()->prior(),pointer_from(x->next()));
+        assign(x->next()->prior(),x->prior());
+      }
+    }
+    else if(is_last_of_bucket(x)){
+      assign(x->prior()->next(),x->next());
+      assign(x->next()->prior()->prior(),x->prior());
+    }
+    else{
+      assign(x->prior()->next(),x->next());
+      assign(x->next()->prior(),x->prior());
+    }
+  }
+
+  /* used only at rehashing */
+
+  static void append(pointer x,pointer end)
+  {
+    x->prior()=end->prior();
+    x->next()=end->prior()->next();
+    x->prior()->next()=base_pointer_from(x);
+    end->prior()=x;
+  }
+
+  static bool unlink_last(pointer end)
+  {
+    /* returns true iff bucket is emptied */
+
+    pointer x=end->prior();
+    if(x->prior()->next()==base_pointer_from(x)){
+      x->prior()->next()=x->next();
+      end->prior()=x->prior();
+      return false;
+    }
+    else{
+      x->prior()->next()->prior()=pointer(0);
+      x->prior()->next()=x->next();
+      end->prior()=x->prior();
+      return true;
+    }
+  }
+
+private:
+  static pointer pointer_from(base_pointer x)
+  {
+    return Node::pointer_from(x);
+  }
+
+  static base_pointer base_pointer_from(pointer x)
+  {
+    return Node::base_pointer_from(x);
+  }
+
+  static bool is_last_of_bucket(pointer x)
+  {
+    return x->next()->prior()!=x;
+  }
+};
+
+template<typename Node>
+struct hashed_index_node_alg<Node,hashed_non_unique_tag>
+{
+  typedef typename Node::base_pointer       base_pointer;
+  typedef typename Node::const_base_pointer const_base_pointer;
+  typedef typename Node::pointer            pointer;
+  typedef typename Node::const_pointer      const_pointer;
+
+  static bool is_first_of_bucket(pointer x)
+  {
+    return x->prior()->next()->prior()==x;
+  }
+
+  static bool is_first_of_group(pointer x)
+  {
+    return
+      x->next()->prior()!=x&&
+      x->next()->prior()->prior()->next()==base_pointer_from(x);
+  }
+
+  static pointer after(pointer x)
+  {
+    if(x->next()->prior()==x)return pointer_from(x->next());
+    if(x->next()->prior()->prior()==x)return x->next()->prior();
+    if(x->next()->prior()->prior()->next()==base_pointer_from(x))
+      return pointer_from(x->next());
+    return pointer_from(x->next())->next()->prior();
+  }
+
+  static pointer after_local(pointer x)
+  {
+    if(x->next()->prior()==x)return pointer_from(x->next());
+    if(x->next()->prior()->prior()==x)return pointer(0);
+    if(x->next()->prior()->prior()->next()==base_pointer_from(x))
+      return pointer_from(x->next());
+    return pointer_from(x->next())->next()->prior();
+  }
+
+  static pointer next_to_inspect(pointer x)
+  {
+    if(x->next()->prior()==x)return pointer_from(x->next());
+    if(x->next()->prior()->prior()==x)return pointer(0);
+    if(x->next()->prior()->next()->prior()!=x->next()->prior())
+      return pointer(0);
+    return pointer_from(x->next()->prior()->next());
+  }
+
+  static void link(pointer x,base_pointer buc,pointer end)
+  {
+    if(buc->prior()==pointer(0)){ /* empty bucket */
+      x->prior()=end->prior();
+      x->next()=end->prior()->next();
+      x->prior()->next()=buc;
+      buc->prior()=x;
+      end->prior()=x;
+    }
+    else{
+      x->prior()=buc->prior()->prior();
+      x->next()=base_pointer_from(buc->prior());
+      buc->prior()=x;
+      x->next()->prior()=x;
+    }
+  };
+
+  static void link(pointer x,pointer first,pointer last)
+  {
+    x->prior()=first->prior();
+    x->next()=base_pointer_from(first);
+    if(is_first_of_bucket(first)){
+      x->prior()->next()->prior()=x;
+    }
+    else{
+      x->prior()->next()=base_pointer_from(x);
+    }
+
+    if(first==last){
+      last->prior()=x;
+    }
+    else if(first->next()==base_pointer_from(last)){
+      first->prior()=last;
+      first->next()=base_pointer_from(x);
+    }
+    else{
+      pointer second=pointer_from(first->next()),
+              lastbutone=last->prior();
+      second->prior()=first;
+      first->prior()=last;
+      lastbutone->next()=base_pointer_from(x);
+    }
+  }
+
+  static void unlink(pointer x)
+  {
+    default_assigner assign;
+    unlink(x,assign);
+  }
+
+  typedef unlink_undo_assigner<Node> unlink_undo;
+
+  template<typename Assigner>
+  static void unlink(pointer x,Assigner& assign)
+  {
+    if(x->prior()->next()==base_pointer_from(x)){
+      if(x->next()->prior()==x){
+        left_unlink(x,assign);
+        right_unlink(x,assign);
+      }
+      else if(x->next()->prior()->prior()==x){           /* last of bucket */
+        left_unlink(x,assign);
+        right_unlink_last_of_bucket(x,assign);
+      }
+      else if(x->next()->prior()->prior()->next()==
+              base_pointer_from(x)){                /* first of group size */
+        left_unlink(x,assign);
+        right_unlink_first_of_group(x,assign);
+      }
+      else{                                                /* n-1 of group */
+        unlink_last_but_one_of_group(x,assign);
+      }
+    }
+    else if(x->prior()->next()->prior()==x){            /* first of bucket */
+      if(x->next()->prior()==x){
+        left_unlink_first_of_bucket(x,assign);
+        right_unlink(x,assign);
+      }
+      else if(x->next()->prior()->prior()==x){           /* last of bucket */
+        assign(x->prior()->next()->prior(),pointer(0));
+        assign(x->prior()->next(),x->next());
+        assign(x->next()->prior()->prior(),x->prior());
+      }
+      else{                                              /* first of group */
+        left_unlink_first_of_bucket(x,assign);
+        right_unlink_first_of_group(x,assign);
+      }
+    }
+    else if(x->next()->prior()->prior()==x){   /* last of group and bucket */
+      left_unlink_last_of_group(x,assign);
+      right_unlink_last_of_bucket(x,assign);
+    }
+    else if(pointer_from(x->prior()->prior()->next())
+            ->next()==base_pointer_from(x)){            /* second of group */
+      unlink_second_of_group(x,assign);
+    }
+    else{                              /* last of group, ~(last of bucket) */
+      left_unlink_last_of_group(x,assign);
+      right_unlink(x,assign);
+    }
+  }
+
+  /* used only at rehashing */
+
+  static void link_range(
+    pointer first,pointer last,base_pointer buc,pointer cend)
+  {
+    if(buc->prior()==pointer(0)){ /* empty bucket */
+      first->prior()=cend->prior();
+      last->next()=cend->prior()->next();
+      first->prior()->next()=buc;
+      buc->prior()=first;
+      cend->prior()=last;
+    }
+    else{
+      first->prior()=buc->prior()->prior();
+      last->next()=base_pointer_from(buc->prior());
+      buc->prior()=first;
+      last->next()->prior()=last;
+    }
+  }
+
+  static void append_range(pointer first,pointer last,pointer cend)
+  {
+    first->prior()=cend->prior();
+    last->next()=cend->prior()->next();
+    first->prior()->next()=base_pointer_from(first);
+    cend->prior()=last;
+  }
+
+  static std::pair<pointer,bool> unlink_last_group(pointer end)
+  {
+    /* returns first of group true iff bucket is emptied */
+
+    pointer x=end->prior();
+    if(x->prior()->next()==base_pointer_from(x)){
+      x->prior()->next()=x->next();
+      end->prior()=x->prior();
+      return std::make_pair(x,false);
+    }
+    else if(x->prior()->next()->prior()==x){
+      x->prior()->next()->prior()=pointer(0);
+      x->prior()->next()=x->next();
+      end->prior()=x->prior();
+      return std::make_pair(x,true);
+    }
+    else{
+      pointer y=pointer_from(x->prior()->next());
+
+      if(y->prior()->next()==base_pointer_from(y)){
+        y->prior()->next()=x->next();
+        end->prior()=y->prior();
+        return std::make_pair(y,false);
+      }
+      else{
+        y->prior()->next()->prior()=pointer(0);
+        y->prior()->next()=x->next();
+        end->prior()=y->prior();
+        return std::make_pair(y,true);
+      }
+    }
+  }
+
+  static void unlink_range(pointer first,pointer last)
+  {
+    if(is_first_of_bucket(first)){
+      if(is_last_of_bucket(last)){
+        first->prior()->next()->prior()=pointer(0);
+        first->prior()->next()=last->next();
+        last->next()->prior()->prior()=first->prior();
+      }
+      else{
+        first->prior()->next()->prior()=pointer_from(last->next());
+        last->next()->prior()=first->prior();
+      }
+    }
+    else if(is_last_of_bucket(last)){
+      first->prior()->next()=last->next();
+      last->next()->prior()->prior()=first->prior();
+    }
+    else{
+      first->prior()->next()=last->next();
+      last->next()->prior()=first->prior();
+    }
+  }
+
+private:
+  static pointer pointer_from(base_pointer x)
+  {
+    return Node::pointer_from(x);
+  }
+
+  static base_pointer base_pointer_from(pointer x)
+  {
+    return Node::base_pointer_from(x);
+  }
+
+  static bool is_last_of_bucket(pointer x)
+  {
+    return x->next()->prior()->prior()==x;
+  }
+
+  template<typename Assigner>
+  static void left_unlink(pointer x,Assigner& assign)
+  {
+    assign(x->prior()->next(),x->next());
+  }
+  
+  template<typename Assigner>
+  static void right_unlink(pointer x,Assigner& assign)
+  {
+    assign(x->next()->prior(),x->prior());
+  }
+
+  template<typename Assigner>
+  static void left_unlink_first_of_bucket(pointer x,Assigner& assign)
+  {
+    assign(x->prior()->next()->prior(),pointer_from(x->next()));
+  }
+
+  template<typename Assigner>
+  static void right_unlink_last_of_bucket(pointer x,Assigner& assign)
+  {
+    assign(x->next()->prior()->prior(),x->prior());
+  }
+
+  template<typename Assigner>
+  static void right_unlink_first_of_group(pointer x,Assigner& assign)
+  {
+    pointer second=pointer_from(x->next()),
+            last=second->prior(),
+            lastbutone=last->prior();
+    if(second==lastbutone){
+      assign(second->next(),base_pointer_from(last));
+      assign(second->prior(),x->prior());
+    }
+    else{
+      assign(lastbutone->next(),base_pointer_from(second));
+      assign(second->next()->prior(),last);
+      assign(second->prior(),x->prior());
+    }
+  }
+
+  template<typename Assigner>
+  static void left_unlink_last_of_group(pointer x,Assigner& assign)
+  {
+    pointer lastbutone=x->prior(),
+            first=pointer_from(lastbutone->next()),
+            second=pointer_from(first->next());
+    if(lastbutone==second){
+      assign(lastbutone->prior(),first);
+      assign(lastbutone->next(),x->next());
+    }
+    else{
+      assign(second->prior(),lastbutone);
+      assign(lastbutone->prior()->next(),base_pointer_from(first));
+      assign(lastbutone->next(),x->next());
+    }
+  }
+
+  template<typename Assigner>
+  static void unlink_last_but_one_of_group(pointer x,Assigner& assign)
+  {
+    pointer first=pointer_from(x->next()),
+            second=pointer_from(first->next()),
+            last=second->prior();
+    if(second==x){
+      assign(last->prior(),first);
+      assign(first->next(),base_pointer_from(last));
+    }
+    else{
+      assign(last->prior(),x->prior());
+      assign(x->prior()->next(),base_pointer_from(first));
+    }
+  }
+
+  template<typename Assigner>
+  static void unlink_second_of_group(pointer x,Assigner& assign)
+  {
+    pointer last=x->prior(),
+            lastbutone=last->prior(),
+            first=pointer_from(lastbutone->next());
+    if(lastbutone==x){
+      assign(first->next(),base_pointer_from(last));
+      assign(last->prior(),first);
+    }
+    else{
+      assign(first->next(),x->next());
+      assign(x->next()->prior(),last);
+    }
+  }
+};
+
+template<typename Super>
+struct hashed_index_node_trampoline:
+  hashed_index_node_impl<
+    typename boost::detail::allocator::rebind_to<
+      typename Super::allocator_type,
+      char
+    >::type
+  >
+{
+  typedef typename boost::detail::allocator::rebind_to<
+    typename Super::allocator_type,
+    char
+  >::type                                               impl_allocator_type;
+  typedef hashed_index_node_impl<impl_allocator_type>   impl_type;
+};
+
+template<typename Super,typename Category>
+struct hashed_index_node:
+  Super,hashed_index_node_trampoline<Super>
+{
+private:
+  typedef hashed_index_node_trampoline<Super> trampoline;
+
+public:
+  typedef typename trampoline::impl_type          impl_type;
+  typedef hashed_index_node_alg<
+    impl_type,Category>                           node_alg;
+  typedef typename trampoline::base_pointer       impl_base_pointer;
+  typedef typename trampoline::const_base_pointer const_impl_base_pointer;
+  typedef typename trampoline::pointer            impl_pointer;
+  typedef typename trampoline::const_pointer      const_impl_pointer;
+
+  impl_pointer&      prior(){return trampoline::prior();}
+  impl_pointer       prior()const{return trampoline::prior();}
+  impl_base_pointer& next(){return trampoline::next();}
+  impl_base_pointer  next()const{return trampoline::next();}
+
+  impl_pointer impl()
+  {
+    return static_cast<impl_pointer>(
+      static_cast<impl_type*>(static_cast<trampoline*>(this)));
+  }
+
+  const_impl_pointer impl()const
+  {
+    return static_cast<const_impl_pointer>(
+      static_cast<const impl_type*>(static_cast<const trampoline*>(this)));
+  }
+
+  static hashed_index_node* from_impl(impl_pointer x)
+  {
+    return static_cast<hashed_index_node*>(
+      static_cast<trampoline*>(&*x));
+  }
+
+  static const hashed_index_node* from_impl(const_impl_pointer x)
+  {
+    return static_cast<const hashed_index_node*>(
+      static_cast<const trampoline*>(&*x));
+  }
+
+  /* interoperability with hashed_index_iterator */
+
+  static void increment(hashed_index_node*& x)
+  {
+    x=from_impl(node_alg::after(x->impl()));
+  }
+
+  static void increment_local(hashed_index_node*& x)
+  {
+    x=from_impl(node_alg::after_local(x->impl()));
+  }
+};
+
+} /* namespace multi_index::detail */
+
+} /* namespace multi_index */
+
+} /* namespace boost */
+
+#endif