boost/intrusive/bstree_algorithms.hpp
///////////////////////////////////////////////////////////////////////////// // // (C) Copyright Ion Gaztanaga 2007-2014 // // 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/intrusive for documentation. // ///////////////////////////////////////////////////////////////////////////// #ifndef BOOST_INTRUSIVE_BSTREE_ALGORITHMS_HPP #define BOOST_INTRUSIVE_BSTREE_ALGORITHMS_HPP #if defined(_MSC_VER) # pragma once #endif #include <cstddef> #include <boost/intrusive/detail/config_begin.hpp> #include <boost/intrusive/intrusive_fwd.hpp> #include <boost/intrusive/detail/assert.hpp> #include <boost/intrusive/detail/uncast.hpp> #include <boost/intrusive/detail/math.hpp> #include <boost/intrusive/detail/algo_type.hpp> #include <utility> namespace boost { namespace intrusive { /// @cond //! This type is the information that will be filled by insert_unique_check template <class NodePtr> struct insert_commit_data_t { insert_commit_data_t() : link_left(false) , node() {} bool link_left; NodePtr node; }; template <class NodePtr> struct data_for_rebalance_t { NodePtr x; NodePtr x_parent; NodePtr y; }; namespace detail { template<class ValueTraits, class NodePtrCompare, class ExtraChecker> struct bstree_node_checker : public ExtraChecker { typedef ExtraChecker base_checker_t; typedef ValueTraits value_traits; typedef typename value_traits::node_traits node_traits; typedef typename node_traits::const_node_ptr const_node_ptr; struct return_type : public base_checker_t::return_type { return_type() : min_key_node_ptr(const_node_ptr()), max_key_node_ptr(const_node_ptr()), node_count(0) {} const_node_ptr min_key_node_ptr; const_node_ptr max_key_node_ptr; size_t node_count; }; bstree_node_checker(const NodePtrCompare& comp, ExtraChecker extra_checker) : base_checker_t(extra_checker), comp_(comp) {} void operator () (const const_node_ptr& p, const return_type& check_return_left, const return_type& check_return_right, return_type& check_return) { if (check_return_left.max_key_node_ptr) BOOST_INTRUSIVE_INVARIANT_ASSERT(!comp_(p, check_return_left.max_key_node_ptr)); if (check_return_right.min_key_node_ptr) BOOST_INTRUSIVE_INVARIANT_ASSERT(!comp_(check_return_right.min_key_node_ptr, p)); check_return.min_key_node_ptr = node_traits::get_left(p)? check_return_left.min_key_node_ptr : p; check_return.max_key_node_ptr = node_traits::get_right(p)? check_return_right.max_key_node_ptr : p; check_return.node_count = check_return_left.node_count + check_return_right.node_count + 1; base_checker_t::operator()(p, check_return_left, check_return_right, check_return); } const NodePtrCompare comp_; }; } // namespace detail /// @endcond //! This is an implementation of a binary search tree. //! A node in the search tree has references to its children and its parent. This //! is to allow traversal of the whole tree from a given node making the //! implementation of iterator a pointer to a node. //! At the top of the tree a node is used specially. This node's parent pointer //! is pointing to the root of the tree. Its left pointer points to the //! leftmost node in the tree and the right pointer to the rightmost one. //! This node is used to represent the end-iterator. //! //! +---------+ //! header------------------------------>| | //! | | //! +----------(left)--------| |--------(right)---------+ //! | +---------+ | //! | | | //! | | (parent) | //! | | | //! | | | //! | +---------+ | //! root of tree ..|......................> | | | //! | | D | | //! | | | | //! | +-------+---------+-------+ | //! | | | | //! | | | | //! | | | | //! | | | | //! | | | | //! | +---------+ +---------+ | //! | | | | | | //! | | B | | F | | //! | | | | | | //! | +--+---------+--+ +--+---------+--+ | //! | | | | | | //! | | | | | | //! | | | | | | //! | +---+-----+ +-----+---+ +---+-----+ +-----+---+ | //! +-->| | | | | | | |<--+ //! | A | | C | | E | | G | //! | | | | | | | | //! +---------+ +---------+ +---------+ +---------+ //! //! bstree_algorithms is configured with a NodeTraits class, which encapsulates the //! information about the node to be manipulated. NodeTraits must support the //! following interface: //! //! <b>Typedefs</b>: //! //! <tt>node</tt>: The type of the node that forms the binary search tree //! //! <tt>node_ptr</tt>: A pointer to a node //! //! <tt>const_node_ptr</tt>: A pointer to a const node //! //! <b>Static functions</b>: //! //! <tt>static node_ptr get_parent(const_node_ptr n);</tt> //! //! <tt>static void set_parent(node_ptr n, node_ptr parent);</tt> //! //! <tt>static node_ptr get_left(const_node_ptr n);</tt> //! //! <tt>static void set_left(node_ptr n, node_ptr left);</tt> //! //! <tt>static node_ptr get_right(const_node_ptr n);</tt> //! //! <tt>static void set_right(node_ptr n, node_ptr right);</tt> template<class NodeTraits> class bstree_algorithms { public: typedef typename NodeTraits::node node; typedef NodeTraits node_traits; typedef typename NodeTraits::node_ptr node_ptr; typedef typename NodeTraits::const_node_ptr const_node_ptr; typedef insert_commit_data_t<node_ptr> insert_commit_data; typedef data_for_rebalance_t<node_ptr> data_for_rebalance; /// @cond private: template<class Disposer> struct dispose_subtree_disposer { dispose_subtree_disposer(Disposer &disp, const node_ptr & subtree) : disposer_(&disp), subtree_(subtree) {} void release() { disposer_ = 0; } ~dispose_subtree_disposer() { if(disposer_){ dispose_subtree(subtree_, *disposer_); } } Disposer *disposer_; const node_ptr subtree_; }; /// @endcond public: //! <b>Requires</b>: 'header' is the header node of a tree. //! //! <b>Effects</b>: Returns the first node of the tree, the header if the tree is empty. //! //! <b>Complexity</b>: Constant time. //! //! <b>Throws</b>: Nothing. static node_ptr begin_node(const const_node_ptr & header) { return node_traits::get_left(header); } //! <b>Requires</b>: 'header' is the header node of a tree. //! //! <b>Effects</b>: Returns the header of the tree. //! //! <b>Complexity</b>: Constant time. //! //! <b>Throws</b>: Nothing. static node_ptr end_node(const const_node_ptr & header) { return detail::uncast(header); } //! <b>Requires</b>: 'header' is the header node of a tree. //! //! <b>Effects</b>: Returns the root of the tree if any, header otherwise //! //! <b>Complexity</b>: Constant time. //! //! <b>Throws</b>: Nothing. static node_ptr root_node(const const_node_ptr & header) { node_ptr p = node_traits::get_parent(header); return p ? p : detail::uncast(header); } //! <b>Requires</b>: 'node' is a node of the tree or a node initialized //! by init(...) or init_node. //! //! <b>Effects</b>: Returns true if the node is initialized by init() or init_node(). //! //! <b>Complexity</b>: Constant time. //! //! <b>Throws</b>: Nothing. static bool unique(const const_node_ptr & node) { return !NodeTraits::get_parent(node); } //! <b>Requires</b>: 'node' is a node of the tree or a header node. //! //! <b>Effects</b>: Returns the header of the tree. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: Nothing. static node_ptr get_header(const const_node_ptr & node) { node_ptr n(detail::uncast(node)); node_ptr p(NodeTraits::get_parent(node)); //If p is null, then n is the header of an empty tree if(p){ //Non-empty tree, check if n is neither root nor header node_ptr pp(NodeTraits::get_parent(p)); //If granparent is not equal to n, then n is neither root nor header, //the try the fast path if(n != pp){ do{ n = p; p = pp; pp = NodeTraits::get_parent(pp); }while(n != pp); n = p; } //Check if n is root or header when size() > 0 else if(!is_header(n)){ n = p; } } return n; /* node_ptr h = detail::uncast(node); node_ptr p = NodeTraits::get_parent(node); if(p){ while(!is_header(p)) p = NodeTraits::get_parent(p); return p; } else{ return h; }*/ } //! <b>Requires</b>: node1 and node2 can't be header nodes //! of two trees. //! //! <b>Effects</b>: Swaps two nodes. After the function node1 will be inserted //! in the position node2 before the function. node2 will be inserted in the //! position node1 had before the function. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: This function will break container ordering invariants if //! node1 and node2 are not equivalent according to the ordering rules. //! //!Experimental function static void swap_nodes(const node_ptr & node1, const node_ptr & node2) { if(node1 == node2) return; node_ptr header1(get_header(node1)), header2(get_header(node2)); swap_nodes(node1, header1, node2, header2); } //! <b>Requires</b>: node1 and node2 can't be header nodes //! of two trees with header header1 and header2. //! //! <b>Effects</b>: Swaps two nodes. After the function node1 will be inserted //! in the position node2 before the function. node2 will be inserted in the //! position node1 had before the function. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: This function will break container ordering invariants if //! node1 and node2 are not equivalent according to the ordering rules. //! //!Experimental function static void swap_nodes(const node_ptr & node1, const node_ptr & header1, const node_ptr & node2, const node_ptr & header2) { if(node1 == node2) return; //node1 and node2 must not be header nodes //BOOST_INTRUSIVE_INVARIANT_ASSERT((header1 != node1 && header2 != node2)); if(header1 != header2){ //Update header1 if necessary if(node1 == NodeTraits::get_left(header1)){ NodeTraits::set_left(header1, node2); } if(node1 == NodeTraits::get_right(header1)){ NodeTraits::set_right(header1, node2); } if(node1 == NodeTraits::get_parent(header1)){ NodeTraits::set_parent(header1, node2); } //Update header2 if necessary if(node2 == NodeTraits::get_left(header2)){ NodeTraits::set_left(header2, node1); } if(node2 == NodeTraits::get_right(header2)){ NodeTraits::set_right(header2, node1); } if(node2 == NodeTraits::get_parent(header2)){ NodeTraits::set_parent(header2, node1); } } else{ //If both nodes are from the same tree //Update header if necessary if(node1 == NodeTraits::get_left(header1)){ NodeTraits::set_left(header1, node2); } else if(node2 == NodeTraits::get_left(header2)){ NodeTraits::set_left(header2, node1); } if(node1 == NodeTraits::get_right(header1)){ NodeTraits::set_right(header1, node2); } else if(node2 == NodeTraits::get_right(header2)){ NodeTraits::set_right(header2, node1); } if(node1 == NodeTraits::get_parent(header1)){ NodeTraits::set_parent(header1, node2); } else if(node2 == NodeTraits::get_parent(header2)){ NodeTraits::set_parent(header2, node1); } //Adjust data in nodes to be swapped //so that final link swap works as expected if(node1 == NodeTraits::get_parent(node2)){ NodeTraits::set_parent(node2, node2); if(node2 == NodeTraits::get_right(node1)){ NodeTraits::set_right(node1, node1); } else{ NodeTraits::set_left(node1, node1); } } else if(node2 == NodeTraits::get_parent(node1)){ NodeTraits::set_parent(node1, node1); if(node1 == NodeTraits::get_right(node2)){ NodeTraits::set_right(node2, node2); } else{ NodeTraits::set_left(node2, node2); } } } //Now swap all the links node_ptr temp; //swap left link temp = NodeTraits::get_left(node1); NodeTraits::set_left(node1, NodeTraits::get_left(node2)); NodeTraits::set_left(node2, temp); //swap right link temp = NodeTraits::get_right(node1); NodeTraits::set_right(node1, NodeTraits::get_right(node2)); NodeTraits::set_right(node2, temp); //swap parent link temp = NodeTraits::get_parent(node1); NodeTraits::set_parent(node1, NodeTraits::get_parent(node2)); NodeTraits::set_parent(node2, temp); //Now adjust adjacent nodes for newly inserted node 1 if((temp = NodeTraits::get_left(node1))){ NodeTraits::set_parent(temp, node1); } if((temp = NodeTraits::get_right(node1))){ NodeTraits::set_parent(temp, node1); } if((temp = NodeTraits::get_parent(node1)) && //The header has been already updated so avoid it temp != header2){ if(NodeTraits::get_left(temp) == node2){ NodeTraits::set_left(temp, node1); } if(NodeTraits::get_right(temp) == node2){ NodeTraits::set_right(temp, node1); } } //Now adjust adjacent nodes for newly inserted node 2 if((temp = NodeTraits::get_left(node2))){ NodeTraits::set_parent(temp, node2); } if((temp = NodeTraits::get_right(node2))){ NodeTraits::set_parent(temp, node2); } if((temp = NodeTraits::get_parent(node2)) && //The header has been already updated so avoid it temp != header1){ if(NodeTraits::get_left(temp) == node1){ NodeTraits::set_left(temp, node2); } if(NodeTraits::get_right(temp) == node1){ NodeTraits::set_right(temp, node2); } } } //! <b>Requires</b>: node_to_be_replaced must be inserted in a tree //! and new_node must not be inserted in a tree. //! //! <b>Effects</b>: Replaces node_to_be_replaced in its position in the //! tree with new_node. The tree does not need to be rebalanced //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: This function will break container ordering invariants if //! new_node is not equivalent to node_to_be_replaced according to the //! ordering rules. This function is faster than erasing and inserting //! the node, since no rebalancing and comparison is needed. Experimental function static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & new_node) { if(node_to_be_replaced == new_node) return; replace_node(node_to_be_replaced, get_header(node_to_be_replaced), new_node); } //! <b>Requires</b>: node_to_be_replaced must be inserted in a tree //! with header "header" and new_node must not be inserted in a tree. //! //! <b>Effects</b>: Replaces node_to_be_replaced in its position in the //! tree with new_node. The tree does not need to be rebalanced //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: This function will break container ordering invariants if //! new_node is not equivalent to node_to_be_replaced according to the //! ordering rules. This function is faster than erasing and inserting //! the node, since no rebalancing or comparison is needed. Experimental function static void replace_node(const node_ptr & node_to_be_replaced, const node_ptr & header, const node_ptr & new_node) { if(node_to_be_replaced == new_node) return; //Update header if necessary if(node_to_be_replaced == NodeTraits::get_left(header)){ NodeTraits::set_left(header, new_node); } if(node_to_be_replaced == NodeTraits::get_right(header)){ NodeTraits::set_right(header, new_node); } if(node_to_be_replaced == NodeTraits::get_parent(header)){ NodeTraits::set_parent(header, new_node); } //Now set data from the original node node_ptr temp; NodeTraits::set_left(new_node, NodeTraits::get_left(node_to_be_replaced)); NodeTraits::set_right(new_node, NodeTraits::get_right(node_to_be_replaced)); NodeTraits::set_parent(new_node, NodeTraits::get_parent(node_to_be_replaced)); //Now adjust adjacent nodes for newly inserted node if((temp = NodeTraits::get_left(new_node))){ NodeTraits::set_parent(temp, new_node); } if((temp = NodeTraits::get_right(new_node))){ NodeTraits::set_parent(temp, new_node); } if((temp = NodeTraits::get_parent(new_node)) && //The header has been already updated so avoid it temp != header){ if(NodeTraits::get_left(temp) == node_to_be_replaced){ NodeTraits::set_left(temp, new_node); } if(NodeTraits::get_right(temp) == node_to_be_replaced){ NodeTraits::set_right(temp, new_node); } } } //! <b>Requires</b>: 'node' is a node from the tree except the header. //! //! <b>Effects</b>: Returns the next node of the tree. //! //! <b>Complexity</b>: Average constant time. //! //! <b>Throws</b>: Nothing. static node_ptr next_node(const node_ptr & node) { node_ptr const n_right(NodeTraits::get_right(node)); if(n_right){ return minimum(n_right); } else { node_ptr n(node); node_ptr p(NodeTraits::get_parent(n)); while(n == NodeTraits::get_right(p)){ n = p; p = NodeTraits::get_parent(p); } return NodeTraits::get_right(n) != p ? p : n; } } //! <b>Requires</b>: 'node' is a node from the tree except the leftmost node. //! //! <b>Effects</b>: Returns the previous node of the tree. //! //! <b>Complexity</b>: Average constant time. //! //! <b>Throws</b>: Nothing. static node_ptr prev_node(const node_ptr & node) { if(is_header(node)){ return NodeTraits::get_right(node); //return maximum(NodeTraits::get_parent(node)); } else if(NodeTraits::get_left(node)){ return maximum(NodeTraits::get_left(node)); } else { node_ptr p(node); node_ptr x = NodeTraits::get_parent(p); while(p == NodeTraits::get_left(x)){ p = x; x = NodeTraits::get_parent(x); } return x; } } //! <b>Requires</b>: 'node' is a node of a tree but not the header. //! //! <b>Effects</b>: Returns the minimum node of the subtree starting at p. //! //! <b>Complexity</b>: Logarithmic to the size of the subtree. //! //! <b>Throws</b>: Nothing. static node_ptr minimum(node_ptr node) { for(node_ptr p_left = NodeTraits::get_left(node) ;p_left ;p_left = NodeTraits::get_left(node)){ node = p_left; } return node; } //! <b>Requires</b>: 'node' is a node of a tree but not the header. //! //! <b>Effects</b>: Returns the maximum node of the subtree starting at p. //! //! <b>Complexity</b>: Logarithmic to the size of the subtree. //! //! <b>Throws</b>: Nothing. static node_ptr maximum(node_ptr node) { for(node_ptr p_right = NodeTraits::get_right(node) ;p_right ;p_right = NodeTraits::get_right(node)){ node = p_right; } return node; } //! <b>Requires</b>: 'node' must not be part of any tree. //! //! <b>Effects</b>: After the function unique(node) == true. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. //! //! <b>Nodes</b>: If node is inserted in a tree, this function corrupts the tree. static void init(const node_ptr & node) { NodeTraits::set_parent(node, node_ptr()); NodeTraits::set_left(node, node_ptr()); NodeTraits::set_right(node, node_ptr()); }; //! <b>Effects</b>: Returns true if node is in the same state as if called init(node) //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. static bool inited(const const_node_ptr & node) { return !NodeTraits::get_parent(node) && !NodeTraits::get_left(node) && !NodeTraits::get_right(node) ; }; //! <b>Requires</b>: node must not be part of any tree. //! //! <b>Effects</b>: Initializes the header to represent an empty tree. //! unique(header) == true. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. //! //! <b>Nodes</b>: If node is inserted in a tree, this function corrupts the tree. static void init_header(const node_ptr & header) { NodeTraits::set_parent(header, node_ptr()); NodeTraits::set_left(header, header); NodeTraits::set_right(header, header); } //! <b>Requires</b>: "disposer" must be an object function //! taking a node_ptr parameter and shouldn't throw. //! //! <b>Effects</b>: Empties the target tree calling //! <tt>void disposer::operator()(const node_ptr &)</tt> for every node of the tree //! except the header. //! //! <b>Complexity</b>: Linear to the number of element of the source tree plus the. //! number of elements of tree target tree when calling this function. //! //! <b>Throws</b>: If cloner functor throws. If this happens target nodes are disposed. template<class Disposer> static void clear_and_dispose(const node_ptr & header, Disposer disposer) { node_ptr source_root = NodeTraits::get_parent(header); if(!source_root) return; dispose_subtree(source_root, disposer); init_header(header); } //! <b>Requires</b>: header is the header of a tree. //! //! <b>Effects</b>: Unlinks the leftmost node from the tree, and //! updates the header link to the new leftmost node. //! //! <b>Complexity</b>: Average complexity is constant time. //! //! <b>Throws</b>: Nothing. //! //! <b>Notes</b>: This function breaks the tree and the tree can //! only be used for more unlink_leftmost_without_rebalance calls. //! This function is normally used to achieve a step by step //! controlled destruction of the tree. static node_ptr unlink_leftmost_without_rebalance(const node_ptr & header) { node_ptr leftmost = NodeTraits::get_left(header); if (leftmost == header) return node_ptr(); node_ptr leftmost_parent(NodeTraits::get_parent(leftmost)); node_ptr leftmost_right (NodeTraits::get_right(leftmost)); bool is_root = leftmost_parent == header; if (leftmost_right){ NodeTraits::set_parent(leftmost_right, leftmost_parent); NodeTraits::set_left(header, bstree_algorithms::minimum(leftmost_right)); if (is_root) NodeTraits::set_parent(header, leftmost_right); else NodeTraits::set_left(NodeTraits::get_parent(header), leftmost_right); } else if (is_root){ NodeTraits::set_parent(header, node_ptr()); NodeTraits::set_left(header, header); NodeTraits::set_right(header, header); } else{ NodeTraits::set_left(leftmost_parent, node_ptr()); NodeTraits::set_left(header, leftmost_parent); } return leftmost; } //! <b>Requires</b>: node is a node of the tree but it's not the header. //! //! <b>Effects</b>: Returns the number of nodes of the subtree. //! //! <b>Complexity</b>: Linear time. //! //! <b>Throws</b>: Nothing. static std::size_t size(const const_node_ptr & header) { node_ptr beg(begin_node(header)); node_ptr end(end_node(header)); std::size_t i = 0; for(;beg != end; beg = next_node(beg)) ++i; return i; } //! <b>Requires</b>: header1 and header2 must be the header nodes //! of two trees. //! //! <b>Effects</b>: Swaps two trees. After the function header1 will contain //! links to the second tree and header2 will have links to the first tree. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. static void swap_tree(const node_ptr & header1, const node_ptr & header2) { if(header1 == header2) return; node_ptr tmp; //Parent swap tmp = NodeTraits::get_parent(header1); NodeTraits::set_parent(header1, NodeTraits::get_parent(header2)); NodeTraits::set_parent(header2, tmp); //Left swap tmp = NodeTraits::get_left(header1); NodeTraits::set_left(header1, NodeTraits::get_left(header2)); NodeTraits::set_left(header2, tmp); //Right swap tmp = NodeTraits::get_right(header1); NodeTraits::set_right(header1, NodeTraits::get_right(header2)); NodeTraits::set_right(header2, tmp); //Now test parent node_ptr h1_parent(NodeTraits::get_parent(header1)); if(h1_parent){ NodeTraits::set_parent(h1_parent, header1); } else{ NodeTraits::set_left(header1, header1); NodeTraits::set_right(header1, header1); } node_ptr h2_parent(NodeTraits::get_parent(header2)); if(h2_parent){ NodeTraits::set_parent(h2_parent, header2); } else{ NodeTraits::set_left(header2, header2); NodeTraits::set_right(header2, header2); } } //! <b>Requires</b>: p is a node of a tree. //! //! <b>Effects</b>: Returns true if p is the header of the tree. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. static bool is_header(const const_node_ptr & p) { node_ptr p_left (NodeTraits::get_left(p)); node_ptr p_right(NodeTraits::get_right(p)); if(!NodeTraits::get_parent(p) || //Header condition when empty tree (p_left && p_right && //Header always has leftmost and rightmost (p_left == p_right || //Header condition when only node (NodeTraits::get_parent(p_left) != p || NodeTraits::get_parent(p_right) != p )) //When tree size > 1 headers can't be leftmost's //and rightmost's parent )){ return true; } return false; } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns a node_ptr to the first element that is equivalent to //! "key" according to "comp" or "header" if that element does not exist. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static node_ptr find (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { node_ptr end = detail::uncast(header); node_ptr y = lower_bound(header, key, comp); return (y == end || comp(key, y)) ? end : y; } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! 'lower_key' must not be greater than 'upper_key' according to 'comp'. If //! 'lower_key' == 'upper_key', ('left_closed' || 'right_closed') must be false. //! //! <b>Effects</b>: Returns an a pair with the following criteria: //! //! first = lower_bound(lower_key) if left_closed, upper_bound(lower_key) otherwise //! //! second = upper_bound(upper_key) if right_closed, lower_bound(upper_key) otherwise //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. //! //! <b>Note</b>: This function can be more efficient than calling upper_bound //! and lower_bound for lower_key and upper_key. //! //! <b>Note</b>: Experimental function, the interface might change. template< class KeyType, class KeyNodePtrCompare> static std::pair<node_ptr, node_ptr> bounded_range ( const const_node_ptr & header , const KeyType &lower_key , const KeyType &upper_key , KeyNodePtrCompare comp , bool left_closed , bool right_closed) { node_ptr y = detail::uncast(header); node_ptr x = NodeTraits::get_parent(header); while(x){ //If x is less than lower_key the target //range is on the right part if(comp(x, lower_key)){ //Check for invalid input range BOOST_INTRUSIVE_INVARIANT_ASSERT(comp(x, upper_key)); x = NodeTraits::get_right(x); } //If the upper_key is less than x, the target //range is on the left part else if(comp(upper_key, x)){ y = x; x = NodeTraits::get_left(x); } else{ //x is inside the bounded range( x >= lower_key && x <= upper_key), //so we must split lower and upper searches // //Sanity check: if lower_key and upper_key are equal, then both left_closed and right_closed can't be false BOOST_INTRUSIVE_INVARIANT_ASSERT(left_closed || right_closed || comp(lower_key, x) || comp(x, upper_key)); return std::pair<node_ptr,node_ptr>( left_closed //If left_closed, then comp(x, lower_key) is already the lower_bound //condition so we save one comparison and go to the next level //following traditional lower_bound algo ? lower_bound_loop(NodeTraits::get_left(x), x, lower_key, comp) //If left-open, comp(x, lower_key) is not the upper_bound algo //condition so we must recheck current 'x' node with upper_bound algo : upper_bound_loop(x, y, lower_key, comp) , right_closed //If right_closed, then comp(upper_key, x) is already the upper_bound //condition so we can save one comparison and go to the next level //following lower_bound algo ? upper_bound_loop(NodeTraits::get_right(x), y, upper_key, comp) //If right-open, comp(upper_key, x) is not the lower_bound algo //condition so we must recheck current 'x' node with lower_bound algo : lower_bound_loop(x, y, upper_key, comp) ); } } return std::pair<node_ptr,node_ptr> (y, y); } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns the number of elements with a key equivalent to "key" //! according to "comp". //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static std::size_t count (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { std::pair<node_ptr, node_ptr> ret = equal_range(header, key, comp); std::size_t n = 0; while(ret.first != ret.second){ ++n; ret.first = next_node(ret.first); } return n; } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns an a pair of node_ptr delimiting a range containing //! all elements that are equivalent to "key" according to "comp" or an //! empty range that indicates the position where those elements would be //! if there are no equivalent elements. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static std::pair<node_ptr, node_ptr> equal_range (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { return bounded_range(header, key, key, comp, true, true); } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns an a pair of node_ptr delimiting a range containing //! the first element that is equivalent to "key" according to "comp" or an //! empty range that indicates the position where that element would be //! if there are no equivalent elements. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static std::pair<node_ptr, node_ptr> lower_bound_range (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { node_ptr const lb(lower_bound(header, key, comp)); std::pair<node_ptr, node_ptr> ret_ii(lb, lb); if(lb != header && !comp(key, lb)){ ret_ii.second = next_node(ret_ii.second); } return ret_ii; } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns a node_ptr to the first element that is //! not less than "key" according to "comp" or "header" if that element does //! not exist. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static node_ptr lower_bound (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { return lower_bound_loop(NodeTraits::get_parent(header), detail::uncast(header), key, comp); } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. KeyNodePtrCompare can compare KeyType with tree's node_ptrs. //! //! <b>Effects</b>: Returns a node_ptr to the first element that is greater //! than "key" according to "comp" or "header" if that element does not exist. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class KeyType, class KeyNodePtrCompare> static node_ptr upper_bound (const const_node_ptr & header, const KeyType &key, KeyNodePtrCompare comp) { return upper_bound_loop(NodeTraits::get_parent(header), detail::uncast(header), key, comp); } //! <b>Requires</b>: "header" must be the header node of a tree. //! "commit_data" must have been obtained from a previous call to //! "insert_unique_check". No objects should have been inserted or erased //! from the set between the "insert_unique_check" that filled "commit_data" //! and the call to "insert_commit". //! //! //! <b>Effects</b>: Inserts new_node in the set using the information obtained //! from the "commit_data" that a previous "insert_check" filled. //! //! <b>Complexity</b>: Constant time. //! //! <b>Throws</b>: Nothing. //! //! <b>Notes</b>: This function has only sense if a "insert_unique_check" has been //! previously executed to fill "commit_data". No value should be inserted or //! erased between the "insert_check" and "insert_commit" calls. static void insert_unique_commit (const node_ptr & header, const node_ptr & new_value, const insert_commit_data &commit_data) { return insert_commit(header, new_value, commit_data); } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. NodePtrCompare compares KeyType with a node_ptr. //! //! <b>Effects</b>: Checks if there is an equivalent node to "key" in the //! tree according to "comp" and obtains the needed information to realize //! a constant-time node insertion if there is no equivalent node. //! //! <b>Returns</b>: If there is an equivalent value //! returns a pair containing a node_ptr to the already present node //! and false. If there is not equivalent key can be inserted returns true //! in the returned pair's boolean and fills "commit_data" that is meant to //! be used with the "insert_commit" function to achieve a constant-time //! insertion function. //! //! <b>Complexity</b>: Average complexity is at most logarithmic. //! //! <b>Throws</b>: If "comp" throws. //! //! <b>Notes</b>: This function is used to improve performance when constructing //! a node is expensive and the user does not want to have two equivalent nodes //! in the tree: if there is an equivalent value //! the constructed object must be discarded. Many times, the part of the //! node that is used to impose the order is much cheaper to construct //! than the node and this function offers the possibility to use that part //! to check if the insertion will be successful. //! //! If the check is successful, the user can construct the node and use //! "insert_commit" to insert the node in constant-time. This gives a total //! logarithmic complexity to the insertion: check(O(log(N)) + commit(O(1)). //! //! "commit_data" remains valid for a subsequent "insert_unique_commit" only //! if no more objects are inserted or erased from the set. template<class KeyType, class KeyNodePtrCompare> static std::pair<node_ptr, bool> insert_unique_check (const const_node_ptr & header, const KeyType &key ,KeyNodePtrCompare comp, insert_commit_data &commit_data #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { std::size_t depth = 0; node_ptr h(detail::uncast(header)); node_ptr y(h); node_ptr x(NodeTraits::get_parent(y)); node_ptr prev = node_ptr(); //Find the upper bound, cache the previous value and if we should //store it in the left or right node bool left_child = true; while(x){ ++depth; y = x; x = (left_child = comp(key, x)) ? NodeTraits::get_left(x) : (prev = y, NodeTraits::get_right(x)); } if(pdepth) *pdepth = depth; //Since we've found the upper bound there is no other value with the same key if: // - There is no previous node // - The previous node is less than the key const bool not_present = !prev || comp(prev, key); if(not_present){ commit_data.link_left = left_child; commit_data.node = y; } return std::pair<node_ptr, bool>(prev, not_present); } //! <b>Requires</b>: "header" must be the header node of a tree. //! KeyNodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. NodePtrCompare compares KeyType with a node_ptr. //! "hint" is node from the "header"'s tree. //! //! <b>Effects</b>: Checks if there is an equivalent node to "key" in the //! tree according to "comp" using "hint" as a hint to where it should be //! inserted and obtains the needed information to realize //! a constant-time node insertion if there is no equivalent node. //! If "hint" is the upper_bound the function has constant time //! complexity (two comparisons in the worst case). //! //! <b>Returns</b>: If there is an equivalent value //! returns a pair containing a node_ptr to the already present node //! and false. If there is not equivalent key can be inserted returns true //! in the returned pair's boolean and fills "commit_data" that is meant to //! be used with the "insert_commit" function to achieve a constant-time //! insertion function. //! //! <b>Complexity</b>: Average complexity is at most logarithmic, but it is //! amortized constant time if new_node should be inserted immediately before "hint". //! //! <b>Throws</b>: If "comp" throws. //! //! <b>Notes</b>: This function is used to improve performance when constructing //! a node is expensive and the user does not want to have two equivalent nodes //! in the tree: if there is an equivalent value //! the constructed object must be discarded. Many times, the part of the //! node that is used to impose the order is much cheaper to construct //! than the node and this function offers the possibility to use that part //! to check if the insertion will be successful. //! //! If the check is successful, the user can construct the node and use //! "insert_commit" to insert the node in constant-time. This gives a total //! logarithmic complexity to the insertion: check(O(log(N)) + commit(O(1)). //! //! "commit_data" remains valid for a subsequent "insert_unique_commit" only //! if no more objects are inserted or erased from the set. template<class KeyType, class KeyNodePtrCompare> static std::pair<node_ptr, bool> insert_unique_check (const const_node_ptr & header, const node_ptr &hint, const KeyType &key ,KeyNodePtrCompare comp, insert_commit_data &commit_data #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { //hint must be bigger than the key if(hint == header || comp(key, hint)){ node_ptr prev(hint); //Previous value should be less than the key if(hint == begin_node(header) || comp((prev = prev_node(hint)), key)){ commit_data.link_left = unique(header) || !NodeTraits::get_left(hint); commit_data.node = commit_data.link_left ? hint : prev; if(pdepth){ *pdepth = commit_data.node == header ? 0 : depth(commit_data.node) + 1; } return std::pair<node_ptr, bool>(node_ptr(), true); } } //Hint was wrong, use hintless insertion return insert_unique_check(header, key, comp, commit_data, pdepth); } //! <b>Requires</b>: "header" must be the header node of a tree. //! NodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. NodePtrCompare compares two node_ptrs. "hint" is node from //! the "header"'s tree. //! //! <b>Effects</b>: Inserts new_node into the tree, using "hint" as a hint to //! where it will be inserted. If "hint" is the upper_bound //! the insertion takes constant time (two comparisons in the worst case). //! //! <b>Complexity</b>: Logarithmic in general, but it is amortized //! constant time if new_node is inserted immediately before "hint". //! //! <b>Throws</b>: If "comp" throws. template<class NodePtrCompare> static node_ptr insert_equal (const node_ptr & h, const node_ptr & hint, const node_ptr & new_node, NodePtrCompare comp #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; insert_equal_check(h, hint, new_node, comp, commit_data, pdepth); insert_commit(h, new_node, commit_data); return new_node; } //! <b>Requires</b>: "h" must be the header node of a tree. //! NodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. NodePtrCompare compares two node_ptrs. //! //! <b>Effects</b>: Inserts new_node into the tree before the upper bound //! according to "comp". //! //! <b>Complexity</b>: Average complexity for insert element is at //! most logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class NodePtrCompare> static node_ptr insert_equal_upper_bound (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; insert_equal_upper_bound_check(h, new_node, comp, commit_data, pdepth); insert_commit(h, new_node, commit_data); return new_node; } //! <b>Requires</b>: "h" must be the header node of a tree. //! NodePtrCompare is a function object that induces a strict weak //! ordering compatible with the strict weak ordering used to create the //! the tree. NodePtrCompare compares two node_ptrs. //! //! <b>Effects</b>: Inserts new_node into the tree before the lower bound //! according to "comp". //! //! <b>Complexity</b>: Average complexity for insert element is at //! most logarithmic. //! //! <b>Throws</b>: If "comp" throws. template<class NodePtrCompare> static node_ptr insert_equal_lower_bound (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; insert_equal_lower_bound_check(h, new_node, comp, commit_data, pdepth); insert_commit(h, new_node, commit_data); return new_node; } //! <b>Requires</b>: "header" must be the header node of a tree. //! "pos" must be a valid iterator or header (end) node. //! "pos" must be an iterator pointing to the successor to "new_node" //! once inserted according to the order of already inserted nodes. This function does not //! check "pos" and this precondition must be guaranteed by the caller. //! //! <b>Effects</b>: Inserts new_node into the tree before "pos". //! //! <b>Complexity</b>: Constant-time. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: If "pos" is not the successor of the newly inserted "new_node" //! tree invariants might be broken. static node_ptr insert_before (const node_ptr & header, const node_ptr & pos, const node_ptr & new_node #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; insert_before_check(header, pos, commit_data, pdepth); insert_commit(header, new_node, commit_data); return new_node; } //! <b>Requires</b>: "header" must be the header node of a tree. //! "new_node" must be, according to the used ordering no less than the //! greatest inserted key. //! //! <b>Effects</b>: Inserts new_node into the tree before "pos". //! //! <b>Complexity</b>: Constant-time. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: If "new_node" is less than the greatest inserted key //! tree invariants are broken. This function is slightly faster than //! using "insert_before". static void push_back (const node_ptr & header, const node_ptr & new_node #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; push_back_check(header, commit_data, pdepth); insert_commit(header, new_node, commit_data); } //! <b>Requires</b>: "header" must be the header node of a tree. //! "new_node" must be, according to the used ordering, no greater than the //! lowest inserted key. //! //! <b>Effects</b>: Inserts new_node into the tree before "pos". //! //! <b>Complexity</b>: Constant-time. //! //! <b>Throws</b>: Nothing. //! //! <b>Note</b>: If "new_node" is greater than the lowest inserted key //! tree invariants are broken. This function is slightly faster than //! using "insert_before". static void push_front (const node_ptr & header, const node_ptr & new_node #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { insert_commit_data commit_data; push_front_check(header, commit_data, pdepth); insert_commit(header, new_node, commit_data); } //! <b>Requires</b>: 'node' can't be a header node. //! //! <b>Effects</b>: Calculates the depth of a node: the depth of a //! node is the length (number of edges) of the path from the root //! to that node. (The root node is at depth 0.) //! //! <b>Complexity</b>: Logarithmic to the number of nodes in the tree. //! //! <b>Throws</b>: Nothing. static std::size_t depth(const_node_ptr node) { std::size_t depth = 0; node_ptr p_parent; while(node != NodeTraits::get_parent(p_parent = NodeTraits::get_parent(node))){ ++depth; node = p_parent; } return depth; } //! <b>Requires</b>: "cloner" must be a function //! object taking a node_ptr and returning a new cloned node of it. "disposer" must //! take a node_ptr and shouldn't throw. //! //! <b>Effects</b>: First empties target tree calling //! <tt>void disposer::operator()(const node_ptr &)</tt> for every node of the tree //! except the header. //! //! Then, duplicates the entire tree pointed by "source_header" cloning each //! source node with <tt>node_ptr Cloner::operator()(const node_ptr &)</tt> to obtain //! the nodes of the target tree. If "cloner" throws, the cloned target nodes //! are disposed using <tt>void disposer(const node_ptr &)</tt>. //! //! <b>Complexity</b>: Linear to the number of element of the source tree plus the. //! number of elements of tree target tree when calling this function. //! //! <b>Throws</b>: If cloner functor throws. If this happens target nodes are disposed. template <class Cloner, class Disposer> static void clone (const const_node_ptr & source_header, const node_ptr & target_header, Cloner cloner, Disposer disposer) { if(!unique(target_header)){ clear_and_dispose(target_header, disposer); } node_ptr leftmost, rightmost; node_ptr new_root = clone_subtree (source_header, target_header, cloner, disposer, leftmost, rightmost); //Now update header node NodeTraits::set_parent(target_header, new_root); NodeTraits::set_left (target_header, leftmost); NodeTraits::set_right (target_header, rightmost); } //! <b>Requires</b>: header must be the header of a tree, z a node //! of that tree and z != header. //! //! <b>Effects</b>: Erases node "z" from the tree with header "header". //! //! <b>Complexity</b>: Amortized constant time. //! //! <b>Throws</b>: Nothing. static void erase(const node_ptr & header, const node_ptr & z) { data_for_rebalance ignored; erase(header, z, ignored); } //! <b>Requires</b>: node is a tree node but not the header. //! //! <b>Effects</b>: Unlinks the node and rebalances the tree. //! //! <b>Complexity</b>: Average complexity is constant time. //! //! <b>Throws</b>: Nothing. static void unlink(const node_ptr & node) { node_ptr x = NodeTraits::get_parent(node); if(x){ while(!is_header(x)) x = NodeTraits::get_parent(x); erase(x, node); } } //! <b>Requires</b>: header must be the header of a tree. //! //! <b>Effects</b>: Rebalances the tree. //! //! <b>Throws</b>: Nothing. //! //! <b>Complexity</b>: Linear. static void rebalance(const node_ptr & header) { node_ptr root = NodeTraits::get_parent(header); if(root){ rebalance_subtree(root); } } //! <b>Requires</b>: old_root is a node of a tree. It shall not be null. //! //! <b>Effects</b>: Rebalances the subtree rooted at old_root. //! //! <b>Returns</b>: The new root of the subtree. //! //! <b>Throws</b>: Nothing. //! //! <b>Complexity</b>: Linear. static node_ptr rebalance_subtree(const node_ptr & old_root) { //Taken from: //"Tree rebalancing in optimal time and space" //Quentin F. Stout and Bette L. Warren //To avoid irregularities in the algorithm (old_root can be a //left or right child or even the root of the tree) just put the //root as the right child of its parent. Before doing this backup //information to restore the original relationship after //the algorithm is applied. node_ptr super_root = NodeTraits::get_parent(old_root); BOOST_INTRUSIVE_INVARIANT_ASSERT(super_root); //Get root info node_ptr super_root_right_backup = NodeTraits::get_right(super_root); bool super_root_is_header = NodeTraits::get_parent(super_root) == old_root; bool old_root_is_right = is_right_child(old_root); NodeTraits::set_right(super_root, old_root); std::size_t size; subtree_to_vine(super_root, size); vine_to_subtree(super_root, size); node_ptr new_root = NodeTraits::get_right(super_root); //Recover root if(super_root_is_header){ NodeTraits::set_right(super_root, super_root_right_backup); NodeTraits::set_parent(super_root, new_root); } else if(old_root_is_right){ NodeTraits::set_right(super_root, new_root); } else{ NodeTraits::set_right(super_root, super_root_right_backup); NodeTraits::set_left(super_root, new_root); } return new_root; } //! <b>Effects</b>: Asserts the integrity of the container with additional checks provided by the user. //! //! <b>Requires</b>: header must be the header of a tree. //! //! <b>Complexity</b>: Linear time. //! //! <b>Note</b>: The method might not have effect when asserts are turned off (e.g., with NDEBUG). //! Experimental function, interface might change in future versions. template<class Checker> static void check(const const_node_ptr& header, Checker checker, typename Checker::return_type& checker_return) { const_node_ptr root_node_ptr = NodeTraits::get_parent(header); if (!root_node_ptr) { // check left&right header pointers BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_left(header) == header); BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_right(header) == header); } else { // check parent pointer of root node BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_parent(root_node_ptr) == header); // check subtree from root check_subtree(root_node_ptr, checker, checker_return); // check left&right header pointers const_node_ptr p = root_node_ptr; while (NodeTraits::get_left(p)) { p = NodeTraits::get_left(p); } BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_left(header) == p); p = root_node_ptr; while (NodeTraits::get_right(p)) { p = NodeTraits::get_right(p); } BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_right(header) == p); } } protected: static void erase(const node_ptr & header, const node_ptr & z, data_for_rebalance &info) { node_ptr y(z); node_ptr x; const node_ptr z_left(NodeTraits::get_left(z)); const node_ptr z_right(NodeTraits::get_right(z)); if(!z_left){ x = z_right; // x might be null. } else if(!z_right){ // z has exactly one non-null child. y == z. x = z_left; // x is not null. BOOST_ASSERT(x); } else{ //make y != z // y = find z's successor y = bstree_algorithms::minimum(z_right); x = NodeTraits::get_right(y); // x might be null. } node_ptr x_parent; const node_ptr z_parent(NodeTraits::get_parent(z)); const bool z_is_leftchild(NodeTraits::get_left(z_parent) == z); if(y != z){ //has two children and y is the minimum of z //y is z's successor and it has a null left child. //x is the right child of y (it can be null) //Relink y in place of z and link x with y's old parent NodeTraits::set_parent(z_left, y); NodeTraits::set_left(y, z_left); if(y != z_right){ //Link y with the right tree of z NodeTraits::set_right(y, z_right); NodeTraits::set_parent(z_right, y); //Link x with y's old parent (y must be a left child) x_parent = NodeTraits::get_parent(y); BOOST_ASSERT(NodeTraits::get_left(x_parent) == y); if(x) NodeTraits::set_parent(x, x_parent); //Since y was the successor and not the right child of z, it must be a left child NodeTraits::set_left(x_parent, x); } else{ //y was the right child of y so no need to fix x's position x_parent = y; } NodeTraits::set_parent(y, z_parent); bstree_algorithms::set_child(header, y, z_parent, z_is_leftchild); } else { // z has zero or one child, x is one child (it can be null) //Just link x to z's parent x_parent = z_parent; if(x) NodeTraits::set_parent(x, z_parent); bstree_algorithms::set_child(header, x, z_parent, z_is_leftchild); //Now update leftmost/rightmost in case z was one of them if(NodeTraits::get_left(header) == z){ //z_left must be null because z is the leftmost BOOST_ASSERT(!z_left); NodeTraits::set_left(header, !z_right ? z_parent : // makes leftmost == header if z == root bstree_algorithms::minimum(z_right)); } if(NodeTraits::get_right(header) == z){ //z_right must be null because z is the rightmost BOOST_ASSERT(!z_right); NodeTraits::set_right(header, !z_left ? z_parent : // makes rightmost == header if z == root bstree_algorithms::maximum(z_left)); } } //If z had 0/1 child, y == z and one of its children (and maybe null) //If z had 2 children, y is the successor of z and x is the right child of y info.x = x; info.y = y; //If z had 0/1 child, x_parent is the new parent of the old right child of y (z's successor) //If z had 2 children, x_parent is the new parent of y (z_parent) BOOST_ASSERT(!x || NodeTraits::get_parent(x) == x_parent); info.x_parent = x_parent; } //! <b>Requires</b>: node is a node of the tree but it's not the header. //! //! <b>Effects</b>: Returns the number of nodes of the subtree. //! //! <b>Complexity</b>: Linear time. //! //! <b>Throws</b>: Nothing. static std::size_t subtree_size(const const_node_ptr & subtree) { std::size_t count = 0; if (subtree){ node_ptr n = detail::uncast(subtree); node_ptr m = NodeTraits::get_left(n); while(m){ n = m; m = NodeTraits::get_left(n); } while(1){ ++count; node_ptr n_right(NodeTraits::get_right(n)); if(n_right){ n = n_right; m = NodeTraits::get_left(n); while(m){ n = m; m = NodeTraits::get_left(n); } } else { do{ if (n == subtree){ return count; } m = n; n = NodeTraits::get_parent(n); }while(NodeTraits::get_left(n) != m); } } } return count; } //! <b>Requires</b>: p is a node of a tree. //! //! <b>Effects</b>: Returns true if p is a left child. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. static bool is_left_child(const node_ptr & p) { return NodeTraits::get_left(NodeTraits::get_parent(p)) == p; } //! <b>Requires</b>: p is a node of a tree. //! //! <b>Effects</b>: Returns true if p is a right child. //! //! <b>Complexity</b>: Constant. //! //! <b>Throws</b>: Nothing. static bool is_right_child(const node_ptr & p) { return NodeTraits::get_right(NodeTraits::get_parent(p)) == p; } static void insert_before_check (const node_ptr &header, const node_ptr & pos , insert_commit_data &commit_data #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { node_ptr prev(pos); if(pos != NodeTraits::get_left(header)) prev = prev_node(pos); bool link_left = unique(header) || !NodeTraits::get_left(pos); commit_data.link_left = link_left; commit_data.node = link_left ? pos : prev; if(pdepth){ *pdepth = commit_data.node == header ? 0 : depth(commit_data.node) + 1; } } static void push_back_check (const node_ptr & header, insert_commit_data &commit_data #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { node_ptr prev(NodeTraits::get_right(header)); if(pdepth){ *pdepth = prev == header ? 0 : depth(prev) + 1; } commit_data.link_left = false; commit_data.node = prev; } static void push_front_check (const node_ptr & header, insert_commit_data &commit_data #ifndef BOOST_INTRUSIVE_DOXYGEN_INVOKED , std::size_t *pdepth = 0 #endif ) { node_ptr pos(NodeTraits::get_left(header)); if(pdepth){ *pdepth = pos == header ? 0 : depth(pos) + 1; } commit_data.link_left = true; commit_data.node = pos; } template<class NodePtrCompare> static void insert_equal_check (const node_ptr &header, const node_ptr & hint, const node_ptr & new_node, NodePtrCompare comp , insert_commit_data &commit_data /// @cond , std::size_t *pdepth = 0 /// @endcond ) { if(hint == header || !comp(hint, new_node)){ node_ptr prev(hint); if(hint == NodeTraits::get_left(header) || !comp(new_node, (prev = prev_node(hint)))){ bool link_left = unique(header) || !NodeTraits::get_left(hint); commit_data.link_left = link_left; commit_data.node = link_left ? hint : prev; if(pdepth){ *pdepth = commit_data.node == header ? 0 : depth(commit_data.node) + 1; } } else{ insert_equal_upper_bound_check(header, new_node, comp, commit_data, pdepth); } } else{ insert_equal_lower_bound_check(header, new_node, comp, commit_data, pdepth); } } template<class NodePtrCompare> static void insert_equal_upper_bound_check (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp, insert_commit_data & commit_data, std::size_t *pdepth = 0) { std::size_t depth = 0; node_ptr y(h); node_ptr x(NodeTraits::get_parent(y)); while(x){ ++depth; y = x; x = comp(new_node, x) ? NodeTraits::get_left(x) : NodeTraits::get_right(x); } if(pdepth) *pdepth = depth; commit_data.link_left = (y == h) || comp(new_node, y); commit_data.node = y; } template<class NodePtrCompare> static void insert_equal_lower_bound_check (const node_ptr & h, const node_ptr & new_node, NodePtrCompare comp, insert_commit_data & commit_data, std::size_t *pdepth = 0) { std::size_t depth = 0; node_ptr y(h); node_ptr x(NodeTraits::get_parent(y)); while(x){ ++depth; y = x; x = !comp(x, new_node) ? NodeTraits::get_left(x) : NodeTraits::get_right(x); } if(pdepth) *pdepth = depth; commit_data.link_left = (y == h) || !comp(y, new_node); commit_data.node = y; } static void insert_commit (const node_ptr & header, const node_ptr & new_node, const insert_commit_data &commit_data) { //Check if commit_data has not been initialized by a insert_unique_check call. BOOST_INTRUSIVE_INVARIANT_ASSERT(commit_data.node != node_ptr()); node_ptr parent_node(commit_data.node); if(parent_node == header){ NodeTraits::set_parent(header, new_node); NodeTraits::set_right(header, new_node); NodeTraits::set_left(header, new_node); } else if(commit_data.link_left){ NodeTraits::set_left(parent_node, new_node); if(parent_node == NodeTraits::get_left(header)) NodeTraits::set_left(header, new_node); } else{ NodeTraits::set_right(parent_node, new_node); if(parent_node == NodeTraits::get_right(header)) NodeTraits::set_right(header, new_node); } NodeTraits::set_parent(new_node, parent_node); NodeTraits::set_right(new_node, node_ptr()); NodeTraits::set_left(new_node, node_ptr()); } //Fix header and own's parent data when replacing x with own, providing own's old data with parent static void set_child(const node_ptr & header, const node_ptr & new_child, const node_ptr & new_parent, const bool link_left) { if(new_parent == header) NodeTraits::set_parent(header, new_child); else if(link_left) NodeTraits::set_left(new_parent, new_child); else NodeTraits::set_right(new_parent, new_child); } // rotate p to left (no header and p's parent fixup) static void rotate_left_no_parent_fix(const node_ptr & p, const node_ptr &p_right) { node_ptr p_right_left(NodeTraits::get_left(p_right)); NodeTraits::set_right(p, p_right_left); if(p_right_left){ NodeTraits::set_parent(p_right_left, p); } NodeTraits::set_left(p_right, p); NodeTraits::set_parent(p, p_right); } // rotate p to left (with header and p's parent fixup) static void rotate_left(const node_ptr & p, const node_ptr & p_right, const node_ptr & p_parent, const node_ptr & header) { const bool p_was_left(NodeTraits::get_left(p_parent) == p); rotate_left_no_parent_fix(p, p_right); NodeTraits::set_parent(p_right, p_parent); set_child(header, p_right, p_parent, p_was_left); } // rotate p to right (no header and p's parent fixup) static void rotate_right_no_parent_fix(const node_ptr & p, const node_ptr &p_left) { node_ptr p_left_right(NodeTraits::get_right(p_left)); NodeTraits::set_left(p, p_left_right); if(p_left_right){ NodeTraits::set_parent(p_left_right, p); } NodeTraits::set_right(p_left, p); NodeTraits::set_parent(p, p_left); } // rotate p to right (with header and p's parent fixup) static void rotate_right(const node_ptr & p, const node_ptr & p_left, const node_ptr & p_parent, const node_ptr & header) { const bool p_was_left(NodeTraits::get_left(p_parent) == p); rotate_right_no_parent_fix(p, p_left); NodeTraits::set_parent(p_left, p_parent); set_child(header, p_left, p_parent, p_was_left); } private: static void subtree_to_vine(node_ptr vine_tail, std::size_t &size) { //Inspired by LibAVL: //It uses a clever optimization for trees with parent pointers. //No parent pointer is updated when transforming a tree to a vine as //most of them will be overriten during compression rotations. //A final pass must be made after the rebalancing to updated those //pointers not updated by tree_to_vine + compression calls std::size_t len = 0; node_ptr remainder = NodeTraits::get_right(vine_tail); while(remainder){ node_ptr tempptr = NodeTraits::get_left(remainder); if(!tempptr){ //move vine-tail down one vine_tail = remainder; remainder = NodeTraits::get_right(remainder); ++len; } else{ //rotate NodeTraits::set_left(remainder, NodeTraits::get_right(tempptr)); NodeTraits::set_right(tempptr, remainder); remainder = tempptr; NodeTraits::set_right(vine_tail, tempptr); } } size = len; } static void compress_subtree(node_ptr scanner, std::size_t count) { while(count--){ //compress "count" spine nodes in the tree with pseudo-root scanner node_ptr child = NodeTraits::get_right(scanner); node_ptr child_right = NodeTraits::get_right(child); NodeTraits::set_right(scanner, child_right); //Avoid setting the parent of child_right scanner = child_right; node_ptr scanner_left = NodeTraits::get_left(scanner); NodeTraits::set_right(child, scanner_left); if(scanner_left) NodeTraits::set_parent(scanner_left, child); NodeTraits::set_left(scanner, child); NodeTraits::set_parent(child, scanner); } } static void vine_to_subtree(const node_ptr & super_root, std::size_t count) { const std::size_t one_szt = 1u; std::size_t leaf_nodes = count + one_szt - std::size_t(one_szt << detail::floor_log2(count + one_szt)); compress_subtree(super_root, leaf_nodes); //create deepest leaves std::size_t vine_nodes = count - leaf_nodes; while(vine_nodes > 1){ vine_nodes /= 2; compress_subtree(super_root, vine_nodes); } //Update parents of nodes still in the in the original vine line //as those have not been updated by subtree_to_vine or compress_subtree for ( node_ptr q = super_root, p = NodeTraits::get_right(super_root) ; p ; q = p, p = NodeTraits::get_right(p)){ NodeTraits::set_parent(p, q); } } //! <b>Requires</b>: "n" must be a node inserted in a tree. //! //! <b>Effects</b>: Returns a pointer to the header node of the tree. //! //! <b>Complexity</b>: Logarithmic. //! //! <b>Throws</b>: Nothing. static node_ptr get_root(const node_ptr & node) { BOOST_INTRUSIVE_INVARIANT_ASSERT((!inited(node))); node_ptr x = NodeTraits::get_parent(node); if(x){ while(!is_header(x)){ x = NodeTraits::get_parent(x); } return x; } else{ return node; } } template <class Cloner, class Disposer> static node_ptr clone_subtree (const const_node_ptr &source_parent, const node_ptr &target_parent , Cloner cloner, Disposer disposer , node_ptr &leftmost_out, node_ptr &rightmost_out ) { node_ptr target_sub_root = target_parent; node_ptr source_root = NodeTraits::get_parent(source_parent); if(!source_root){ leftmost_out = rightmost_out = source_root; } else{ //We'll calculate leftmost and rightmost nodes while iterating node_ptr current = source_root; node_ptr insertion_point = target_sub_root = cloner(current); //We'll calculate leftmost and rightmost nodes while iterating node_ptr leftmost = target_sub_root; node_ptr rightmost = target_sub_root; //First set the subroot NodeTraits::set_left(target_sub_root, node_ptr()); NodeTraits::set_right(target_sub_root, node_ptr()); NodeTraits::set_parent(target_sub_root, target_parent); dispose_subtree_disposer<Disposer> rollback(disposer, target_sub_root); while(true) { //First clone left nodes if( NodeTraits::get_left(current) && !NodeTraits::get_left(insertion_point)) { current = NodeTraits::get_left(current); node_ptr temp = insertion_point; //Clone and mark as leaf insertion_point = cloner(current); NodeTraits::set_left (insertion_point, node_ptr()); NodeTraits::set_right (insertion_point, node_ptr()); //Insert left NodeTraits::set_parent(insertion_point, temp); NodeTraits::set_left (temp, insertion_point); //Update leftmost if(rightmost == target_sub_root) leftmost = insertion_point; } //Then clone right nodes else if( NodeTraits::get_right(current) && !NodeTraits::get_right(insertion_point)){ current = NodeTraits::get_right(current); node_ptr temp = insertion_point; //Clone and mark as leaf insertion_point = cloner(current); NodeTraits::set_left (insertion_point, node_ptr()); NodeTraits::set_right (insertion_point, node_ptr()); //Insert right NodeTraits::set_parent(insertion_point, temp); NodeTraits::set_right (temp, insertion_point); //Update rightmost rightmost = insertion_point; } //If not, go up else if(current == source_root){ break; } else{ //Branch completed, go up searching more nodes to clone current = NodeTraits::get_parent(current); insertion_point = NodeTraits::get_parent(insertion_point); } } rollback.release(); leftmost_out = leftmost; rightmost_out = rightmost; } return target_sub_root; } template<class Disposer> static void dispose_subtree(node_ptr x, Disposer disposer) { while (x){ node_ptr save(NodeTraits::get_left(x)); if (save) { // Right rotation NodeTraits::set_left(x, NodeTraits::get_right(save)); NodeTraits::set_right(save, x); } else { save = NodeTraits::get_right(x); init(x); disposer(x); } x = save; } } template<class KeyType, class KeyNodePtrCompare> static node_ptr lower_bound_loop (node_ptr x, node_ptr y, const KeyType &key, KeyNodePtrCompare comp) { while(x){ if(comp(x, key)){ x = NodeTraits::get_right(x); } else{ y = x; x = NodeTraits::get_left(x); } } return y; } template<class KeyType, class KeyNodePtrCompare> static node_ptr upper_bound_loop (node_ptr x, node_ptr y, const KeyType &key, KeyNodePtrCompare comp) { while(x){ if(comp(key, x)){ y = x; x = NodeTraits::get_left(x); } else{ x = NodeTraits::get_right(x); } } return y; } template<class Checker> static void check_subtree(const const_node_ptr& node, Checker checker, typename Checker::return_type& check_return) { const_node_ptr left = NodeTraits::get_left(node); const_node_ptr right = NodeTraits::get_right(node); typename Checker::return_type check_return_left; typename Checker::return_type check_return_right; if (left) { BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_parent(left) == node); check_subtree(left, checker, check_return_left); } if (right) { BOOST_INTRUSIVE_INVARIANT_ASSERT(NodeTraits::get_parent(right) == node); check_subtree(right, checker, check_return_right); } checker(node, check_return_left, check_return_right, check_return); } }; /// @cond template<class NodeTraits> struct get_algo<BsTreeAlgorithms, NodeTraits> { typedef bstree_algorithms<NodeTraits> type; }; template <class ValueTraits, class NodePtrCompare, class ExtraChecker> struct get_node_checker<BsTreeAlgorithms, ValueTraits, NodePtrCompare, ExtraChecker> { typedef detail::bstree_node_checker<ValueTraits, NodePtrCompare, ExtraChecker> type; }; /// @endcond } //namespace intrusive } //namespace boost #include <boost/intrusive/detail/config_end.hpp> #endif //BOOST_INTRUSIVE_BSTREE_ALGORITHMS_HPP