| 1 |
|
|---|
| 2 | #ifndef _COVERTREE_H
|
|---|
| 3 | #define _COVERTREE_H
|
|---|
| 4 |
|
|---|
| 5 | #include <map>
|
|---|
| 6 | class Observation;
|
|---|
| 7 |
|
|---|
| 8 | class Covertree{
|
|---|
| 9 |
|
|---|
| 10 | /* Cover tree node. Consists of arbitrarily many points P, as long as they
|
|---|
| 11 | * have distance 0 to each other. Keeps track of its children. */
|
|---|
| 12 | class CoverTreeNode{
|
|---|
| 13 | private:
|
|---|
| 14 | //_childMap[i] is a vector of the node's children at level i
|
|---|
| 15 | std::map<int,std::vector<CoverTreeNode*> > _childMap;
|
|---|
| 16 | //_observations is all of the points with distance 0 which are not equal.
|
|---|
| 17 | std::vector<Observation> _observations;
|
|---|
| 18 | public:
|
|---|
| 19 | CoverTreeNode(const Observation& o);
|
|---|
| 20 | /**
|
|---|
| 21 | * Returns the children of the node at level i. Note that this means
|
|---|
| 22 | * the children exist in cover set i-1, not level i.
|
|---|
| 23 | *
|
|---|
| 24 | * Does not include the node itself, though technically every node
|
|---|
| 25 | * has itself as a child in a cover tree.
|
|---|
| 26 | */
|
|---|
| 27 | std::vector<CoverTreeNode*> getChildren(int level) const;
|
|---|
| 28 | void addChild(int level, CoverTreeNode* p);
|
|---|
| 29 | void removeChild(int level, CoverTreeNode* p);
|
|---|
| 30 | void addObservation(const Observation& o);
|
|---|
| 31 | void removeObservation(const Observation& o);
|
|---|
| 32 | const std::vector<Observation>& getObservations() { return _observations; }
|
|---|
| 33 | double distance(const CoverTreeNode& p) const;
|
|---|
| 34 | bool isSingle() const;
|
|---|
| 35 | bool hasObservation(const Observation& o) const;
|
|---|
| 36 | const Observation& getObservation() const;
|
|---|
| 37 |
|
|---|
| 38 | /**
|
|---|
| 39 | * Return every child of the node from any level. This is handy for
|
|---|
| 40 | * the destructor.
|
|---|
| 41 | */
|
|---|
| 42 | std::vector<CoverTreeNode*> getAllChildren() const;
|
|---|
| 43 | }; // CoverTreeNode class
|
|---|
| 44 | private:
|
|---|
| 45 | typedef std::pair<double, CoverTreeNode*> distNodePair;
|
|---|
| 46 |
|
|---|
| 47 | CoverTreeNode *_root;
|
|---|
| 48 | unsigned int _numNodes;
|
|---|
| 49 | int _maxLevel; //base^_maxLevel should be the max distance
|
|---|
| 50 | //between any 2 points
|
|---|
| 51 | int _minLevel; //A level beneath which there are no more new nodes.
|
|---|
| 52 |
|
|---|
| 53 | std::vector<CoverTreeNode*> kNearestNodes(const Observation& o, const unsigned int& k) const;
|
|---|
| 54 | /**
|
|---|
| 55 | * Recursive implementation of the insert algorithm (see paper).
|
|---|
| 56 | */
|
|---|
| 57 | bool insert_rec(const Observation& p, const std::vector<distNodePair>& Qi,const int& level);
|
|---|
| 58 |
|
|---|
| 59 | /* Finds the node in Q with the minimum distance to p. Returns a pair
|
|---|
| 60 | * consisting of this node and the distance. */
|
|---|
| 61 | distNodePair distance(const Observation& p,const std::vector<CoverTreeNode*>& Q);
|
|---|
| 62 |
|
|---|
| 63 |
|
|---|
| 64 | void remove_rec(const Observation& p, std::map<int,std::vector<distNodePair> >& coverSets, int level, bool& multi);
|
|---|
| 65 |
|
|---|
| 66 | public:
|
|---|
| 67 | double base;
|
|---|
| 68 |
|
|---|
| 69 | /**
|
|---|
| 70 | * Constructs a cover tree which begins with all points in points.
|
|---|
| 71 | *
|
|---|
| 72 | * maxDist should be the maximum distance that any two points
|
|---|
| 73 | * can have between each other. IE p.distance(q) < maxDist for all
|
|---|
| 74 | * p,q that you will ever try to insert. The cover tree may be invalid
|
|---|
| 75 | * if an inaccurate maxDist is given.
|
|---|
| 76 | */
|
|---|
| 77 |
|
|---|
| 78 | Covertree(int maxDist,const std::vector<Observation>& points=std::vector<Observation>());
|
|---|
| 79 | ~Covertree();
|
|---|
| 80 |
|
|---|
| 81 | /**
|
|---|
| 82 | * Just for testing/debugging. Returns true iff the cover tree satisfies the
|
|---|
| 83 | * the covering tree invariants (every node in level i is greater than base^i
|
|---|
| 84 | * distance from every other node, and every node in level i is less than
|
|---|
| 85 | * or equal to base^i distance from its children). See the cover tree
|
|---|
| 86 | * papers for details.
|
|---|
| 87 | */
|
|---|
| 88 | bool isValidTree() const;
|
|---|
| 89 |
|
|---|
| 90 | /**
|
|---|
| 91 | * Insert newPoint into the cover tree. If newPoint is already present,
|
|---|
| 92 | * (that is, newPoint==p for some p already in the tree), then the tree
|
|---|
| 93 | * is unchanged. If p.distance(newPoint)==0.0 but newPoint!=p, then
|
|---|
| 94 | * newPoint WILL be inserted and both points may be returned in k-nearest-
|
|---|
| 95 | * neighbor searches.
|
|---|
| 96 | */
|
|---|
| 97 | void insert(const Observation& newObservation);
|
|---|
| 98 |
|
|---|
| 99 | /**
|
|---|
| 100 | * Remove point p from the cover tree. If p is not present in the tree,
|
|---|
| 101 | * it will remain unchanged. Otherwise, this will remove exactly one
|
|---|
| 102 | * point q from the tree satisfying p==q.
|
|---|
| 103 | */
|
|---|
| 104 | void remove(const Observation& p);
|
|---|
| 105 |
|
|---|
| 106 | /**
|
|---|
| 107 | * Returns the k nearest points to p in order (the 0th element of the vector
|
|---|
| 108 | * is closest to p, 1th is next, etc). It may return greater than k points
|
|---|
| 109 | * if there is a tie for the kth place.
|
|---|
| 110 | */
|
|---|
| 111 | std::vector<Observation> kNearestNeighbors(const Observation& p, const unsigned int& k) const;
|
|---|
| 112 |
|
|---|
| 113 | int get_numberofobs();
|
|---|
| 114 |
|
|---|
| 115 | CoverTreeNode* getRoot() const;
|
|---|
| 116 |
|
|---|
| 117 | /**
|
|---|
| 118 | * Print the cover tree.
|
|---|
| 119 | */
|
|---|
| 120 | void print() const;
|
|---|
| 121 | };
|
|---|
| 122 | #endif //_COVERTREE_H
|
|---|