📄 indexquadtree.h
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/********************************************************************** * $Id: indexQuadtree.h,v 1.9 2004/11/17 08:13:16 strk Exp $ * * GEOS - Geometry Engine Open Source * http://geos.refractions.net * * Copyright (C) 2001-2002 Vivid Solutions Inc. * * This is free software; you can redistribute and/or modify it under * the terms of the GNU Lesser General Public Licence as published * by the Free Software Foundation. * See the COPYING file for more information. * **********************************************************************/#ifndef GEOS_INDEXQUADTREE_H#define GEOS_INDEXQUADTREE_H#include <memory>#include <vector>#include <geos/platform.h>#include <geos/geom.h>#include <geos/spatialIndex.h>#if __STDC_IEC_559__#define ASSUME_IEEE_DOUBLE 1#else#define ASSUME_IEEE_DOUBLE 0#endifusing namespace std;namespace geos {/* * \class IntervalSize indexQuadtree.h geos/indexQuadtree.h * * \brief * Provides a test for whether an interval is * so small it should be considered as zero for the purposes of * inserting it into a binary tree. * * The reason this check is necessary is that round-off error can * cause the algorithm used to subdivide an interval to fail, by * computing a midpoint value which does not lie strictly between the * endpoints. */class IntervalSize {public: /** * This value is chosen to be a few powers of 2 less than the * number of bits available in the double representation (i.e. 53). * This should allow enough extra precision for simple computations * to be correct, * at least for comparison purposes. */ static const int MIN_BINARY_EXPONENT=-50; static bool isZeroWidth(double min, double max);};class DoubleBits {public: static const int EXPONENT_BIAS=1023; static double powerOf2(int exp); static int exponent(double d); static double truncateToPowerOfTwo(double d); static string toBinaryString(double d); static double maximumCommonMantissa(double d1, double d2); DoubleBits(double nx); double getDouble(); int64 biasedExponent(); int getExponent(); void zeroLowerBits(int nBits); int getBit(int i); int numCommonMantissaBits(DoubleBits *db); string toString();private: double x;// long long xBits;// long xBits; int64 xBits;};/* * \class QuadTreeKey indexQuadtree.h geos/indexQuadtree.h * * \brief * A QuadTreeKey is a unique identifier for a node in a quadtree. * * It contains a lower-left point and a level number. The level number * is the power of two for the size of the node envelope */class QuadTreeKey {public: static int computeQuadLevel(Envelope *env); QuadTreeKey(Envelope *itemEnv); virtual ~QuadTreeKey(); Coordinate* getPoint(); int getLevel(); Envelope* getEnvelope(); Coordinate* getCentre(); void computeKey(Envelope *itemEnv);private: // the fields which make up the key Coordinate *pt; int level; // auxiliary data which is derived from the key for use in computation Envelope *env; void computeKey(int level,Envelope *itemEnv);};class QuadTreeNode;/* * \class QuadTreeNodeBase indexQuadtree.h geos/indexQuadtree.h * * \brief * The base class for nodes in a Quadtree. * */class QuadTreeNodeBase {public: static int getSubnodeIndex(const Envelope *env, const Coordinate *centre); QuadTreeNodeBase(); virtual ~QuadTreeNodeBase(); virtual vector<void*>* getItems(); virtual void add(void* item); virtual vector<void*>* addAllItems(vector<void*> *resultItems); virtual void addAllItemsFromOverlapping(const Envelope *searchEnv,vector<void*> *resultItems); virtual int depth(); virtual int size(); virtual int nodeCount(); virtual string toString() const;protected: vector<void*> *items; /** * subquads are numbered as follows: * <pre> * 2 | 3 * --+-- * 0 | 1 * </pre> */ QuadTreeNode* subnode[4]; virtual bool isSearchMatch(const Envelope *searchEnv)=0;};/* * \class QuadTreeNode indexQuadtree.h geos/indexQuadtree.h * * \brief * Represents a node of a Quadtree. * * Nodes contain items which have a spatial extent corresponding to * the node's position in the quadtree. * */class QuadTreeNode: public QuadTreeNodeBase {public: static QuadTreeNode* createNode(Envelope *env); static QuadTreeNode* createExpanded(QuadTreeNode *node, const Envelope *addEnv); QuadTreeNode(Envelope *nenv,int nlevel); virtual ~QuadTreeNode(); Envelope* getEnvelope(); QuadTreeNode* getNode(const Envelope *searchEnv); QuadTreeNodeBase* find(const Envelope *searchEnv); void insertNode(QuadTreeNode *node); string toString() const;private: Envelope *env; Coordinate *centre; int level; QuadTreeNode* getSubnode(int index); QuadTreeNode* createSubnode(int index);protected: bool isSearchMatch(const Envelope *searchEnv);};/* * \class QuadTreeRoot indexQuadtree.h geos/indexQuadtree.h * * \brief * QuadRoot is the root of a single Quadtree. It is centred at the origin, * and does not have a defined extent. */class QuadTreeRoot: public QuadTreeNodeBase {friend class Unload;private: static Coordinate *origin; void insertContained(QuadTreeNode *tree, const Envelope *itemEnv, void* item);public: QuadTreeRoot(); virtual ~QuadTreeRoot(); void insert(const Envelope *itemEnv,void* item);protected: bool isSearchMatch(const Envelope *searchEnv);};/* * \class Quadtree indexQuadtree.h geos/indexQuadtree.h * * \brief * A Quadtree is a spatial index structure for efficient querying * of 2D rectangles. If other kinds of spatial objects * need to be indexed they can be represented by their * envelopes * * The quadtree structure is used to provide a primary filter * for range rectangle queries. The query() method returns a list of * all objects which <i>may</i> intersect the query rectangle. Note that * it may return objects which do not in fact intersect. * A secondary filter is required to test for exact intersection. * Of course, this secondary filter may consist of other tests besides * intersection, such as testing other kinds of spatial relationships. * * This implementation does not require specifying the extent of the inserted * items beforehand. It will automatically expand to accomodate any extent * of dataset. * * This data structure is also known as an <i>MX-CIF quadtree</i> * following the usage of Samet and others. */class Quadtree: public SpatialIndex {public: /** * \brief * Ensure that the envelope for the inserted item has non-zero extents. * Use the current minExtent to pad the envelope, if necessary. * Can return a new Envelope or the given one (casted to non-const). */ static Envelope* ensureExtent(const Envelope *itemEnv, double minExtent); /** * \brief * Constructs a Quadtree with zero items. */ Quadtree(); virtual ~Quadtree(); /** * \brief * Returns the number of levels in the tree. */ int depth(); /** * \brief * Returns the number of items in the tree. */ int size(); void insert(const Envelope *itemEnv, void *item); vector<void*>* query(const Envelope *searchEnv); vector<void*>* queryAll(); string toString() const;private: vector<Envelope *>newEnvelopes; void collectStats(const Envelope *itemEnv); QuadTreeRoot *root; /** * Statistics * * minExtent is the minimum envelope extent of all items * inserted into the tree so far. It is used as a heuristic value * to construct non-zero envelopes for features with zero X and/or * Y extent. * Start with a non-zero extent, in case the first feature inserted has * a zero extent in both directions. This value may be non-optimal, but * only one feature will be inserted with this value. **/ double minExtent;};} // namespace geos#endif/********************************************************************** * $Log: indexQuadtree.h,v $ * Revision 1.9 2004/11/17 08:13:16 strk * Indentation changes. * Some Z_COMPUTATION activated by default. * * Revision 1.8 2004/11/04 08:49:13 strk * Unlinked new documentation. * * Revision 1.7 2004/11/02 16:38:45 strk * Fixed ieee-754 detection switch * * Revision 1.6 2004/11/02 16:05:49 strk * Autodetect availability of IEEE-754 FP * * Revision 1.5 2004/11/02 15:49:59 strk * * Moved ASSUME_IEEE_DOUBLE define from DoubleBits.cpp to indexQuadtree.h. * Fixed a bug in powerOf2(). Made the !IEEE version less prone to * round-offs (still has approximation errors). * * Revision 1.4 2004/11/01 16:43:04 strk * Added Profiler code. * Temporarly patched a bug in DoubleBits (must check drawbacks). * Various cleanups and speedups. * * Revision 1.3 2004/07/27 16:35:46 strk * Geometry::getEnvelopeInternal() changed to return a const Envelope *. * This should reduce object copies as once computed the envelope of a * geometry remains the same. * * Revision 1.2 2004/07/19 13:19:31 strk * Documentation fixes * * Revision 1.1 2004/07/02 13:20:42 strk * Header files moved under geos/ dir. * * Revision 1.16 2004/05/06 16:30:58 strk * Kept track of newly allocated objects by ensureExtent for Bintree and Quadtree, * deleted at destruction time. doc/example.cpp runs with no leaks. * * Revision 1.15 2004/04/19 15:14:45 strk * Added missing virtual destructor in SpatialIndex class. * Memory leaks fixes. Const and throw specifications added. * * Revision 1.14 2004/03/25 02:23:55 ybychkov * All "index/" packages upgraded to JTS 1.4 * * Revision 1.13 2003/11/07 01:23:42 pramsey * Add standard CVS headers licence notices and copyrights to all cpp and h * files. * * **********************************************************************/
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