1759 lines
52 KiB
C
1759 lines
52 KiB
C
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/*
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* R-Tree index
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*
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* from http://www.superliminal.com/
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*
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* LICENSE : Entirely free for all uses. Enjoy!
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*
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* AUTORS
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* - 1983 Original algorithm and test code by Antonin Guttman and Michael Stonebraker, UC Berkely
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* - 1994 ANCI C ported from original test code by Melinda Green - melinda@superliminal.com
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* - 1995 Sphere volume fix for degeneracy problem submitted by Paul Brook
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* - 2004 Templated C++ port by Greg Douglas
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* - 2008 Portability issues fixed by Maxence Laurent
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*/
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#ifndef RTREE_H
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#define RTREE_H
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// NOTE This file compiles under MSVC 6 SP5 and MSVC .Net 2003 it may not work on other compilers without modification.
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// NOTE These next few lines may be win32 specific, you may need to modify them to compile on other platform
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#include <stdio.h>
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#include <math.h>
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#include <assert.h>
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#include <stdlib.h>
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#define ASSERT assert // RTree uses ASSERT( condition )
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#ifndef Min
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#define Min std::min
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#endif // Min
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#ifndef Max
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#define Max std::max
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#endif // Max
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//
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// RTree.h
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//
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#define RTREE_TEMPLATE template<class DATATYPE, class ELEMTYPE, int NUMDIMS, \
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class ELEMTYPEREAL, int TMAXNODES, int TMINNODES>
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#define RTREE_SEARCH_TEMPLATE template<class DATATYPE, class ELEMTYPE, int NUMDIMS, \
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class ELEMTYPEREAL, int TMAXNODES, int TMINNODES, class VISITOR>
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#define RTREE_QUAL RTree<DATATYPE, ELEMTYPE, NUMDIMS, ELEMTYPEREAL, TMAXNODES, \
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TMINNODES>
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#define RTREE_SEARCH_QUAL RTree<DATATYPE, ELEMTYPE, NUMDIMS, ELEMTYPEREAL, TMAXNODES, \
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TMINNODES, VISITOR>
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#define RTREE_DONT_USE_MEMPOOLS // This version does not contain a fixed memory allocator, fill in lines with EXAMPLE to implement one.
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#define RTREE_USE_SPHERICAL_VOLUME // Better split classification, may be slower on some systems
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// Fwd decl
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class RTFileStream; // File I/O helper class, look below for implementation and notes.
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/// \class RTree
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/// Implementation of RTree, a multidimensional bounding rectangle tree.
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/// Example usage: For a 3-dimensional tree use RTree<Object*, float, 3> myTree;
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///
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/// This modified, templated C++ version by Greg Douglas at Auran (http://www.auran.com)
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///
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/// DATATYPE Referenced data, should be int, void*, obj* etc. no larger than sizeof<void*> and simple type
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/// ELEMTYPE Type of element such as int or float
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/// NUMDIMS Number of dimensions such as 2 or 3
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/// ELEMTYPEREAL Type of element that allows fractional and large values such as float or double, for use in volume calcs
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///
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/// NOTES: Inserting and removing data requires the knowledge of its constant Minimal Bounding Rectangle.
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/// This version uses new/delete for nodes, I recommend using a fixed size allocator for efficiency.
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/// Instead of using a callback function for returned results, I recommend and efficient pre-sized, grow-only memory
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/// array similar to MFC CArray or STL Vector for returning search query result.
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///
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template <class DATATYPE, class ELEMTYPE, int NUMDIMS,
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class ELEMTYPEREAL = ELEMTYPE, int TMAXNODES = 8, int TMINNODES = TMAXNODES / 2>
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class RTree
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{
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protected:
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struct Node; // Fwd decl. Used by other internal structs and iterator
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public:
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// These constant must be declared after Branch and before Node struct
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// Stuck up here for MSVC 6 compiler. NSVC .NET 2003 is much happier.
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enum {
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MAXNODES = TMAXNODES, ///< Max elements in node
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MINNODES = TMINNODES, ///< Min elements in node
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};
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public:
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RTree();
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virtual ~RTree();
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/// Insert entry
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/// \param a_min Min of bounding rect
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/// \param a_max Max of bounding rect
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/// \param a_dataId Positive Id of data. Maybe zero, but negative numbers not allowed.
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void Insert( const ELEMTYPE a_min[NUMDIMS],
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const ELEMTYPE a_max[NUMDIMS],
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const DATATYPE& a_dataId );
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/// Remove entry
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/// \param a_min Min of bounding rect
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/// \param a_max Max of bounding rect
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/// \param a_dataId Positive Id of data. Maybe zero, but negative numbers not allowed.
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void Remove( const ELEMTYPE a_min[NUMDIMS],
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const ELEMTYPE a_max[NUMDIMS],
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const DATATYPE& a_dataId );
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/// Find all within search rectangle
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/// \param a_min Min of search bounding rect
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/// \param a_max Max of search bounding rect
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/// \param a_searchResult Search result array. Caller should set grow size. Function will reset, not append to array.
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/// \param a_resultCallback Callback function to return result. Callback should return 'true' to continue searching
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/// \param a_context User context to pass as parameter to a_resultCallback
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/// \return Returns the number of entries found
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int Search( const ELEMTYPE a_min[NUMDIMS],
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const ELEMTYPE a_max[NUMDIMS],
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bool a_resultCallback( DATATYPE a_data, void* a_context ),
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void* a_context );
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template <class VISITOR>
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int Search( const ELEMTYPE a_min[NUMDIMS], const ELEMTYPE a_max[NUMDIMS], VISITOR& a_visitor )
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{
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#ifdef _DEBUG
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for( int index = 0; index<NUMDIMS; ++index )
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{
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ASSERT( a_min[index] <= a_max[index] );
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}
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#endif // _DEBUG
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Rect rect;
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for( int axis = 0; axis<NUMDIMS; ++axis )
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{
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rect.m_min[axis] = a_min[axis];
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rect.m_max[axis] = a_max[axis];
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}
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// NOTE: May want to return search result another way, perhaps returning the number of found elements here.
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Search( m_root, &rect, a_visitor );
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return 0;
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}
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/// Remove all entries from tree
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void RemoveAll();
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/// Count the data elements in this container. This is slow as no internal counter is maintained.
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int Count();
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/// Load tree contents from file
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bool Load( const char* a_fileName );
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/// Load tree contents from stream
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bool Load( RTFileStream& a_stream );
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/// Save tree contents to file
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bool Save( const char* a_fileName );
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/// Save tree contents to stream
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bool Save( RTFileStream& a_stream );
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/// Iterator is not remove safe.
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class Iterator
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{
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private:
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enum { MAX_STACK = 32 }; // Max stack size. Allows almost n^32 where n is number of branches in node
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struct StackElement
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{
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Node* m_node;
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int m_branchIndex;
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};
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public:
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Iterator() { Init(); }
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~Iterator() { }
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/// Is iterator invalid
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bool IsNull() { return m_tos <= 0; }
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/// Is iterator pointing to valid data
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bool IsNotNull() { return m_tos > 0; }
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/// Access the current data element. Caller must be sure iterator is not NULL first.
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DATATYPE& operator*()
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{
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ASSERT( IsNotNull() );
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StackElement& curTos = m_stack[m_tos - 1];
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return curTos.m_node->m_branch[curTos.m_branchIndex].m_data;
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}
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/// Access the current data element. Caller must be sure iterator is not NULL first.
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const DATATYPE& operator*() const
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{
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ASSERT( IsNotNull() );
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StackElement& curTos = m_stack[m_tos - 1];
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return curTos.m_node->m_branch[curTos.m_branchIndex].m_data;
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}
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/// Find the next data element
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bool operator++() { return FindNextData(); }
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/// Get the bounds for this node
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void GetBounds( ELEMTYPE a_min[NUMDIMS], ELEMTYPE a_max[NUMDIMS] )
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{
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ASSERT( IsNotNull() );
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StackElement& curTos = m_stack[m_tos - 1];
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Branch& curBranch = curTos.m_node->m_branch[curTos.m_branchIndex];
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for( int index = 0; index < NUMDIMS; ++index )
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{
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a_min[index] = curBranch.m_rect.m_min[index];
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a_max[index] = curBranch.m_rect.m_max[index];
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}
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}
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private:
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/// Reset iterator
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void Init() { m_tos = 0; }
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/// Find the next data element in the tree (For internal use only)
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bool FindNextData()
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{
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for( ; ; )
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{
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if( m_tos <= 0 )
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{
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return false;
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}
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StackElement curTos = Pop(); // Copy stack top cause it may change as we use it
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if( curTos.m_node->IsLeaf() )
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{
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// Keep walking through data while we can
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if( curTos.m_branchIndex + 1 < curTos.m_node->m_count )
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{
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// There is more data, just point to the next one
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Push( curTos.m_node, curTos.m_branchIndex + 1 );
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return true;
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}
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// No more data, so it will fall back to previous level
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}
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else
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{
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if( curTos.m_branchIndex + 1 < curTos.m_node->m_count )
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{
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// Push sibling on for future tree walk
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// This is the 'fall back' node when we finish with the current level
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Push( curTos.m_node, curTos.m_branchIndex + 1 );
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}
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// Since cur node is not a leaf, push first of next level to get deeper into the tree
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Node* nextLevelnode = curTos.m_node->m_branch[curTos.m_branchIndex].m_child;
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Push( nextLevelnode, 0 );
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// If we pushed on a new leaf, exit as the data is ready at TOS
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if( nextLevelnode->IsLeaf() )
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{
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return true;
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}
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}
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}
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}
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/// Push node and branch onto iteration stack (For internal use only)
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void Push( Node* a_node, int a_branchIndex )
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{
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m_stack[m_tos].m_node = a_node;
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m_stack[m_tos].m_branchIndex = a_branchIndex;
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++m_tos;
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ASSERT( m_tos <= MAX_STACK );
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}
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/// Pop element off iteration stack (For internal use only)
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StackElement& Pop()
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{
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ASSERT( m_tos > 0 );
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--m_tos;
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return m_stack[m_tos];
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}
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StackElement m_stack[MAX_STACK]; ///< Stack as we are doing iteration instead of recursion
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int m_tos; ///< Top Of Stack index
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friend class RTree; // Allow hiding of non-public functions while allowing manipulation by logical owner
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};
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/// Get 'first' for iteration
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void GetFirst( Iterator& a_it )
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{
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a_it.Init();
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Node* first = m_root;
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while( first )
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{
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if( first->IsInternalNode() && first->m_count > 1 )
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{
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a_it.Push( first, 1 ); // Descend sibling branch later
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}
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else if( first->IsLeaf() )
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{
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if( first->m_count )
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{
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a_it.Push( first, 0 );
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}
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break;
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}
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first = first->m_branch[0].m_child;
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}
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}
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/// Get Next for iteration
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void GetNext( Iterator& a_it ) { ++a_it; }
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/// Is iterator NULL, or at end?
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bool IsNull( Iterator& a_it ) { return a_it.IsNull(); }
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/// Get object at iterator position
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DATATYPE& GetAt( Iterator& a_it ) { return *a_it; }
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protected:
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/// Minimal bounding rectangle (n-dimensional)
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struct Rect
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{
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ELEMTYPE m_min[NUMDIMS]; ///< Min dimensions of bounding box
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ELEMTYPE m_max[NUMDIMS]; ///< Max dimensions of bounding box
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};
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/// May be data or may be another subtree
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/// The parents level determines this.
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/// If the parents level is 0, then this is data
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struct Branch
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{
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Rect m_rect; ///< Bounds
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union
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{
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Node* m_child; ///< Child node
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DATATYPE m_data; ///< Data Id or Ptr
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};
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};
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/// Node for each branch level
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struct Node
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{
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bool IsInternalNode() { return m_level > 0; } // Not a leaf, but a internal node
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bool IsLeaf() { return m_level == 0; } // A leaf, contains data
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int m_count; ///< Count
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int m_level; ///< Leaf is zero, others positive
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Branch m_branch[MAXNODES]; ///< Branch
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};
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/// A link list of nodes for reinsertion after a delete operation
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struct ListNode
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{
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ListNode* m_next; ///< Next in list
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Node* m_node; ///< Node
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};
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/// Variables for finding a split partition
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struct PartitionVars
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{
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int m_partition[MAXNODES + 1];
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int m_total;
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int m_minFill;
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int m_taken[MAXNODES + 1];
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int m_count[2];
|
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Rect m_cover[2];
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ELEMTYPEREAL m_area[2];
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|
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Branch m_branchBuf[MAXNODES + 1];
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int m_branchCount;
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||
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Rect m_coverSplit;
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ELEMTYPEREAL m_coverSplitArea;
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};
|
||
|
|
||
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Node* AllocNode();
|
||
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void FreeNode( Node* a_node );
|
||
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void InitNode( Node* a_node );
|
||
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void InitRect( Rect* a_rect );
|
||
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bool InsertRectRec( Rect* a_rect,
|
||
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const DATATYPE& a_id,
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||
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Node* a_node,
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||
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Node** a_newNode,
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||
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int a_level );
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||
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bool InsertRect( Rect* a_rect, const DATATYPE& a_id, Node** a_root, int a_level );
|
||
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Rect NodeCover( Node* a_node );
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||
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bool AddBranch( Branch* a_branch, Node* a_node, Node** a_newNode );
|
||
|
void DisconnectBranch( Node* a_node, int a_index );
|
||
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int PickBranch( Rect* a_rect, Node* a_node );
|
||
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Rect CombineRect( Rect* a_rectA, Rect* a_rectB );
|
||
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void SplitNode( Node* a_node, Branch* a_branch, Node** a_newNode );
|
||
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ELEMTYPEREAL RectSphericalVolume( Rect* a_rect );
|
||
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ELEMTYPEREAL RectVolume( Rect* a_rect );
|
||
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ELEMTYPEREAL CalcRectVolume( Rect* a_rect );
|
||
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void GetBranches( Node* a_node, Branch* a_branch, PartitionVars* a_parVars );
|
||
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void ChoosePartition( PartitionVars* a_parVars, int a_minFill );
|
||
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void LoadNodes( Node* a_nodeA, Node* a_nodeB, PartitionVars* a_parVars );
|
||
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void InitParVars( PartitionVars* a_parVars, int a_maxRects, int a_minFill );
|
||
|
void PickSeeds( PartitionVars* a_parVars );
|
||
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void Classify( int a_index, int a_group, PartitionVars* a_parVars );
|
||
|
bool RemoveRect( Rect* a_rect, const DATATYPE& a_id, Node** a_root );
|
||
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bool RemoveRectRec( Rect* a_rect,
|
||
|
const DATATYPE& a_id,
|
||
|
Node* a_node,
|
||
|
ListNode** a_listNode );
|
||
|
ListNode* AllocListNode();
|
||
|
void FreeListNode( ListNode* a_listNode );
|
||
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bool Overlap( Rect* a_rectA, Rect* a_rectB );
|
||
|
void ReInsert( Node* a_node, ListNode** a_listNode );
|
||
|
|
||
|
bool Search( Node * a_node, Rect * a_rect, int& a_foundCount, bool a_resultCallback(
|
||
|
DATATYPE a_data,
|
||
|
void* a_context ), void* a_context );
|
||
|
|
||
|
template <class VISITOR>
|
||
|
bool Search( Node* a_node, Rect* a_rect, VISITOR& a_visitor )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
ASSERT( a_node->m_level >= 0 );
|
||
|
ASSERT( a_rect );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // This is an internal node in the tree
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( Overlap( a_rect, &a_node->m_branch[index].m_rect ) )
|
||
|
{
|
||
|
if( !Search( a_node->m_branch[index].m_child, a_rect, a_visitor ) )
|
||
|
{
|
||
|
return false; // Don't continue searching
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
else // This is a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( Overlap( a_rect, &a_node->m_branch[index].m_rect ) )
|
||
|
{
|
||
|
DATATYPE& id = a_node->m_branch[index].m_data;
|
||
|
|
||
|
a_visitor( id );
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true; // Continue searching
|
||
|
}
|
||
|
|
||
|
void RemoveAllRec( Node* a_node );
|
||
|
void Reset();
|
||
|
void CountRec( Node* a_node, int& a_count );
|
||
|
|
||
|
bool SaveRec( Node* a_node, RTFileStream& a_stream );
|
||
|
bool LoadRec( Node* a_node, RTFileStream& a_stream );
|
||
|
|
||
|
Node* m_root; ///< Root of tree
|
||
|
ELEMTYPEREAL m_unitSphereVolume; ///< Unit sphere constant for required number of dimensions
|
||
|
};
|
||
|
|
||
|
|
||
|
// Because there is not stream support, this is a quick and dirty file I/O helper.
|
||
|
// Users will likely replace its usage with a Stream implementation from their favorite API.
|
||
|
class RTFileStream
|
||
|
{
|
||
|
FILE* m_file;
|
||
|
public:
|
||
|
|
||
|
|
||
|
RTFileStream()
|
||
|
{
|
||
|
m_file = NULL;
|
||
|
}
|
||
|
|
||
|
~RTFileStream()
|
||
|
{
|
||
|
Close();
|
||
|
}
|
||
|
|
||
|
bool OpenRead( const char* a_fileName )
|
||
|
{
|
||
|
m_file = fopen( a_fileName, "rb" );
|
||
|
|
||
|
if( !m_file )
|
||
|
{
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
bool OpenWrite( const char* a_fileName )
|
||
|
{
|
||
|
m_file = fopen( a_fileName, "wb" );
|
||
|
|
||
|
if( !m_file )
|
||
|
{
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
void Close()
|
||
|
{
|
||
|
if( m_file )
|
||
|
{
|
||
|
fclose( m_file );
|
||
|
m_file = NULL;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
template <typename TYPE>
|
||
|
size_t Write( const TYPE& a_value )
|
||
|
{
|
||
|
ASSERT( m_file );
|
||
|
return fwrite( (void*) &a_value, sizeof(a_value), 1, m_file );
|
||
|
}
|
||
|
|
||
|
template <typename TYPE>
|
||
|
size_t WriteArray( const TYPE* a_array, int a_count )
|
||
|
{
|
||
|
ASSERT( m_file );
|
||
|
return fwrite( (void*) a_array, sizeof(TYPE) * a_count, 1, m_file );
|
||
|
}
|
||
|
|
||
|
template <typename TYPE>
|
||
|
size_t Read( TYPE& a_value )
|
||
|
{
|
||
|
ASSERT( m_file );
|
||
|
return fread( (void*) &a_value, sizeof(a_value), 1, m_file );
|
||
|
}
|
||
|
|
||
|
template <typename TYPE>
|
||
|
size_t ReadArray( TYPE* a_array, int a_count )
|
||
|
{
|
||
|
ASSERT( m_file );
|
||
|
return fread( (void*) a_array, sizeof(TYPE) * a_count, 1, m_file );
|
||
|
}
|
||
|
};
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE RTREE_QUAL::RTree()
|
||
|
{
|
||
|
ASSERT( MAXNODES > MINNODES );
|
||
|
ASSERT( MINNODES > 0 );
|
||
|
|
||
|
|
||
|
// We only support machine word size simple data type eg. integer index or object pointer.
|
||
|
// Since we are storing as union with non data branch
|
||
|
ASSERT( sizeof(DATATYPE) == sizeof(void*) || sizeof(DATATYPE) == sizeof(int) );
|
||
|
|
||
|
// Precomputed volumes of the unit spheres for the first few dimensions
|
||
|
const float UNIT_SPHERE_VOLUMES[] =
|
||
|
{
|
||
|
0.000000f, 2.000000f, 3.141593f, // Dimension 0,1,2
|
||
|
4.188790f, 4.934802f, 5.263789f, // Dimension 3,4,5
|
||
|
5.167713f, 4.724766f, 4.058712f, // Dimension 6,7,8
|
||
|
3.298509f, 2.550164f, 1.884104f, // Dimension 9,10,11
|
||
|
1.335263f, 0.910629f, 0.599265f, // Dimension 12,13,14
|
||
|
0.381443f, 0.235331f, 0.140981f, // Dimension 15,16,17
|
||
|
0.082146f, 0.046622f, 0.025807f, // Dimension 18,19,20
|
||
|
};
|
||
|
|
||
|
m_root = AllocNode();
|
||
|
m_root->m_level = 0;
|
||
|
m_unitSphereVolume = (ELEMTYPEREAL) UNIT_SPHERE_VOLUMES[NUMDIMS];
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
RTREE_QUAL::~RTree() {
|
||
|
Reset(); // Free, or reset node memory
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::Insert( const ELEMTYPE a_min[NUMDIMS],
|
||
|
const ELEMTYPE a_max[NUMDIMS],
|
||
|
const DATATYPE& a_dataId )
|
||
|
{
|
||
|
#ifdef _DEBUG
|
||
|
|
||
|
for( int index = 0; index<NUMDIMS; ++index )
|
||
|
{
|
||
|
ASSERT( a_min[index] <= a_max[index] );
|
||
|
}
|
||
|
|
||
|
#endif // _DEBUG
|
||
|
|
||
|
Rect rect;
|
||
|
|
||
|
for( int axis = 0; axis<NUMDIMS; ++axis )
|
||
|
{
|
||
|
rect.m_min[axis] = a_min[axis];
|
||
|
rect.m_max[axis] = a_max[axis];
|
||
|
}
|
||
|
|
||
|
InsertRect( &rect, a_dataId, &m_root, 0 );
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::Remove( const ELEMTYPE a_min[NUMDIMS],
|
||
|
const ELEMTYPE a_max[NUMDIMS],
|
||
|
const DATATYPE& a_dataId )
|
||
|
{
|
||
|
#ifdef _DEBUG
|
||
|
|
||
|
for( int index = 0; index<NUMDIMS; ++index )
|
||
|
{
|
||
|
ASSERT( a_min[index] <= a_max[index] );
|
||
|
}
|
||
|
|
||
|
#endif // _DEBUG
|
||
|
|
||
|
Rect rect;
|
||
|
|
||
|
for( int axis = 0; axis<NUMDIMS; ++axis )
|
||
|
{
|
||
|
rect.m_min[axis] = a_min[axis];
|
||
|
rect.m_max[axis] = a_max[axis];
|
||
|
}
|
||
|
|
||
|
RemoveRect( &rect, a_dataId, &m_root );
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
int RTREE_QUAL::Search( const ELEMTYPE a_min[NUMDIMS],
|
||
|
const ELEMTYPE a_max[NUMDIMS],
|
||
|
bool a_resultCallback( DATATYPE a_data, void* a_context ),
|
||
|
void* a_context )
|
||
|
{
|
||
|
#ifdef _DEBUG
|
||
|
|
||
|
for( int index = 0; index<NUMDIMS; ++index )
|
||
|
{
|
||
|
ASSERT( a_min[index] <= a_max[index] );
|
||
|
}
|
||
|
|
||
|
#endif // _DEBUG
|
||
|
|
||
|
Rect rect;
|
||
|
|
||
|
for( int axis = 0; axis<NUMDIMS; ++axis )
|
||
|
{
|
||
|
rect.m_min[axis] = a_min[axis];
|
||
|
rect.m_max[axis] = a_max[axis];
|
||
|
}
|
||
|
|
||
|
// NOTE: May want to return search result another way, perhaps returning the number of found elements here.
|
||
|
|
||
|
int foundCount = 0;
|
||
|
Search( m_root, &rect, foundCount, a_resultCallback, a_context );
|
||
|
|
||
|
return foundCount;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
int RTREE_QUAL::Count()
|
||
|
{
|
||
|
int count = 0;
|
||
|
|
||
|
CountRec( m_root, count );
|
||
|
|
||
|
return count;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::CountRec( Node* a_node, int& a_count )
|
||
|
{
|
||
|
if( a_node->IsInternalNode() ) // not a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
CountRec( a_node->m_branch[index].m_child, a_count );
|
||
|
}
|
||
|
}
|
||
|
else // A leaf node
|
||
|
{
|
||
|
a_count += a_node->m_count;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Load( const char* a_fileName )
|
||
|
{
|
||
|
RemoveAll(); // Clear existing tree
|
||
|
|
||
|
RTFileStream stream;
|
||
|
|
||
|
if( !stream.OpenRead( a_fileName ) )
|
||
|
{
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
bool result = Load( stream );
|
||
|
|
||
|
stream.Close();
|
||
|
|
||
|
return result;
|
||
|
};
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Load( RTFileStream& a_stream )
|
||
|
{
|
||
|
// Write some kind of header
|
||
|
int _dataFileId = ('R' << 0) | ('T' << 8) | ('R' << 16) | ('E' << 24);
|
||
|
int _dataSize = sizeof(DATATYPE);
|
||
|
int _dataNumDims = NUMDIMS;
|
||
|
int _dataElemSize = sizeof(ELEMTYPE);
|
||
|
int _dataElemRealSize = sizeof(ELEMTYPEREAL);
|
||
|
int _dataMaxNodes = TMAXNODES;
|
||
|
int _dataMinNodes = TMINNODES;
|
||
|
|
||
|
int dataFileId = 0;
|
||
|
int dataSize = 0;
|
||
|
int dataNumDims = 0;
|
||
|
int dataElemSize = 0;
|
||
|
int dataElemRealSize = 0;
|
||
|
int dataMaxNodes = 0;
|
||
|
int dataMinNodes = 0;
|
||
|
|
||
|
a_stream.Read( dataFileId );
|
||
|
a_stream.Read( dataSize );
|
||
|
a_stream.Read( dataNumDims );
|
||
|
a_stream.Read( dataElemSize );
|
||
|
a_stream.Read( dataElemRealSize );
|
||
|
a_stream.Read( dataMaxNodes );
|
||
|
a_stream.Read( dataMinNodes );
|
||
|
|
||
|
bool result = false;
|
||
|
|
||
|
// Test if header was valid and compatible
|
||
|
if( (dataFileId == _dataFileId)
|
||
|
&& (dataSize == _dataSize)
|
||
|
&& (dataNumDims == _dataNumDims)
|
||
|
&& (dataElemSize == _dataElemSize)
|
||
|
&& (dataElemRealSize == _dataElemRealSize)
|
||
|
&& (dataMaxNodes == _dataMaxNodes)
|
||
|
&& (dataMinNodes == _dataMinNodes)
|
||
|
)
|
||
|
{
|
||
|
// Recursively load tree
|
||
|
result = LoadRec( m_root, a_stream );
|
||
|
}
|
||
|
|
||
|
return result;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::LoadRec( Node* a_node, RTFileStream& a_stream )
|
||
|
{
|
||
|
a_stream.Read( a_node->m_level );
|
||
|
a_stream.Read( a_node->m_count );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // not a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
Branch* curBranch = &a_node->m_branch[index];
|
||
|
|
||
|
a_stream.ReadArray( curBranch->m_rect.m_min, NUMDIMS );
|
||
|
a_stream.ReadArray( curBranch->m_rect.m_max, NUMDIMS );
|
||
|
|
||
|
curBranch->m_child = AllocNode();
|
||
|
LoadRec( curBranch->m_child, a_stream );
|
||
|
}
|
||
|
}
|
||
|
else // A leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
Branch* curBranch = &a_node->m_branch[index];
|
||
|
|
||
|
a_stream.ReadArray( curBranch->m_rect.m_min, NUMDIMS );
|
||
|
a_stream.ReadArray( curBranch->m_rect.m_max, NUMDIMS );
|
||
|
|
||
|
a_stream.Read( curBranch->m_data );
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true; // Should do more error checking on I/O operations
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Save( const char* a_fileName )
|
||
|
{
|
||
|
RTFileStream stream;
|
||
|
|
||
|
if( !stream.OpenWrite( a_fileName ) )
|
||
|
{
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
bool result = Save( stream );
|
||
|
|
||
|
stream.Close();
|
||
|
|
||
|
return result;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Save( RTFileStream& a_stream )
|
||
|
{
|
||
|
// Write some kind of header
|
||
|
int dataFileId = ('R' << 0) | ('T' << 8) | ('R' << 16) | ('E' << 24);
|
||
|
int dataSize = sizeof(DATATYPE);
|
||
|
int dataNumDims = NUMDIMS;
|
||
|
int dataElemSize = sizeof(ELEMTYPE);
|
||
|
int dataElemRealSize = sizeof(ELEMTYPEREAL);
|
||
|
int dataMaxNodes = TMAXNODES;
|
||
|
int dataMinNodes = TMINNODES;
|
||
|
|
||
|
a_stream.Write( dataFileId );
|
||
|
a_stream.Write( dataSize );
|
||
|
a_stream.Write( dataNumDims );
|
||
|
a_stream.Write( dataElemSize );
|
||
|
a_stream.Write( dataElemRealSize );
|
||
|
a_stream.Write( dataMaxNodes );
|
||
|
a_stream.Write( dataMinNodes );
|
||
|
|
||
|
// Recursively save tree
|
||
|
bool result = SaveRec( m_root, a_stream );
|
||
|
|
||
|
return result;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::SaveRec( Node* a_node, RTFileStream& a_stream )
|
||
|
{
|
||
|
a_stream.Write( a_node->m_level );
|
||
|
a_stream.Write( a_node->m_count );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // not a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
Branch* curBranch = &a_node->m_branch[index];
|
||
|
|
||
|
a_stream.WriteArray( curBranch->m_rect.m_min, NUMDIMS );
|
||
|
a_stream.WriteArray( curBranch->m_rect.m_max, NUMDIMS );
|
||
|
|
||
|
SaveRec( curBranch->m_child, a_stream );
|
||
|
}
|
||
|
}
|
||
|
else // A leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
Branch* curBranch = &a_node->m_branch[index];
|
||
|
|
||
|
a_stream.WriteArray( curBranch->m_rect.m_min, NUMDIMS );
|
||
|
a_stream.WriteArray( curBranch->m_rect.m_max, NUMDIMS );
|
||
|
|
||
|
a_stream.Write( curBranch->m_data );
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true; // Should do more error checking on I/O operations
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::RemoveAll()
|
||
|
{
|
||
|
// Delete all existing nodes
|
||
|
Reset();
|
||
|
|
||
|
m_root = AllocNode();
|
||
|
m_root->m_level = 0;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::Reset()
|
||
|
{
|
||
|
#ifdef RTREE_DONT_USE_MEMPOOLS
|
||
|
// Delete all existing nodes
|
||
|
RemoveAllRec( m_root );
|
||
|
#else // RTREE_DONT_USE_MEMPOOLS
|
||
|
// Just reset memory pools. We are not using complex types
|
||
|
// EXAMPLE
|
||
|
#endif // RTREE_DONT_USE_MEMPOOLS
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::RemoveAllRec( Node* a_node )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
ASSERT( a_node->m_level >= 0 );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // This is an internal node in the tree
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
RemoveAllRec( a_node->m_branch[index].m_child );
|
||
|
}
|
||
|
}
|
||
|
|
||
|
FreeNode( a_node );
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
typename RTREE_QUAL::Node* RTREE_QUAL::AllocNode()
|
||
|
{
|
||
|
Node* newNode;
|
||
|
|
||
|
#ifdef RTREE_DONT_USE_MEMPOOLS
|
||
|
newNode = new Node;
|
||
|
#else // RTREE_DONT_USE_MEMPOOLS
|
||
|
// EXAMPLE
|
||
|
#endif // RTREE_DONT_USE_MEMPOOLS
|
||
|
InitNode( newNode );
|
||
|
return newNode;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::FreeNode( Node* a_node )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
|
||
|
#ifdef RTREE_DONT_USE_MEMPOOLS
|
||
|
delete a_node;
|
||
|
#else // RTREE_DONT_USE_MEMPOOLS
|
||
|
// EXAMPLE
|
||
|
#endif // RTREE_DONT_USE_MEMPOOLS
|
||
|
}
|
||
|
|
||
|
|
||
|
// Allocate space for a node in the list used in DeletRect to
|
||
|
// store Nodes that are too empty.
|
||
|
RTREE_TEMPLATE
|
||
|
typename RTREE_QUAL::ListNode* RTREE_QUAL::AllocListNode()
|
||
|
{
|
||
|
#ifdef RTREE_DONT_USE_MEMPOOLS
|
||
|
return new ListNode;
|
||
|
#else // RTREE_DONT_USE_MEMPOOLS
|
||
|
// EXAMPLE
|
||
|
#endif // RTREE_DONT_USE_MEMPOOLS
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::FreeListNode( ListNode* a_listNode )
|
||
|
{
|
||
|
#ifdef RTREE_DONT_USE_MEMPOOLS
|
||
|
delete a_listNode;
|
||
|
#else // RTREE_DONT_USE_MEMPOOLS
|
||
|
// EXAMPLE
|
||
|
#endif // RTREE_DONT_USE_MEMPOOLS
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::InitNode( Node* a_node )
|
||
|
{
|
||
|
a_node->m_count = 0;
|
||
|
a_node->m_level = -1;
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::InitRect( Rect* a_rect )
|
||
|
{
|
||
|
for( int index = 0; index < NUMDIMS; ++index )
|
||
|
{
|
||
|
a_rect->m_min[index] = (ELEMTYPE) 0;
|
||
|
a_rect->m_max[index] = (ELEMTYPE) 0;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Inserts a new data rectangle into the index structure.
|
||
|
// Recursively descends tree, propagates splits back up.
|
||
|
// Returns 0 if node was not split. Old node updated.
|
||
|
// If node was split, returns 1 and sets the pointer pointed to by
|
||
|
// new_node to point to the new node. Old node updated to become one of two.
|
||
|
// The level argument specifies the number of steps up from the leaf
|
||
|
// level to insert; e.g. a data rectangle goes in at level = 0.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::InsertRectRec( Rect* a_rect,
|
||
|
const DATATYPE& a_id,
|
||
|
Node* a_node,
|
||
|
Node** a_newNode,
|
||
|
int a_level )
|
||
|
{
|
||
|
ASSERT( a_rect && a_node && a_newNode );
|
||
|
ASSERT( a_level >= 0 && a_level <= a_node->m_level );
|
||
|
|
||
|
int index;
|
||
|
Branch branch;
|
||
|
Node* otherNode;
|
||
|
|
||
|
// Still above level for insertion, go down tree recursively
|
||
|
if( a_node->m_level > a_level )
|
||
|
{
|
||
|
index = PickBranch( a_rect, a_node );
|
||
|
|
||
|
if( !InsertRectRec( a_rect, a_id, a_node->m_branch[index].m_child, &otherNode, a_level ) )
|
||
|
{
|
||
|
// Child was not split
|
||
|
a_node->m_branch[index].m_rect =
|
||
|
CombineRect( a_rect, &(a_node->m_branch[index].m_rect) );
|
||
|
return false;
|
||
|
}
|
||
|
else // Child was split
|
||
|
{
|
||
|
a_node->m_branch[index].m_rect = NodeCover( a_node->m_branch[index].m_child );
|
||
|
branch.m_child = otherNode;
|
||
|
branch.m_rect = NodeCover( otherNode );
|
||
|
return AddBranch( &branch, a_node, a_newNode );
|
||
|
}
|
||
|
}
|
||
|
else if( a_node->m_level == a_level ) // Have reached level for insertion. Add rect, split if necessary
|
||
|
{
|
||
|
branch.m_rect = *a_rect;
|
||
|
branch.m_child = (Node*) a_id;
|
||
|
// Child field of leaves contains id of data record
|
||
|
return AddBranch( &branch, a_node, a_newNode );
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
// Should never occur
|
||
|
ASSERT( 0 );
|
||
|
return false;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Insert a data rectangle into an index structure.
|
||
|
// InsertRect provides for splitting the root;
|
||
|
// returns 1 if root was split, 0 if it was not.
|
||
|
// The level argument specifies the number of steps up from the leaf
|
||
|
// level to insert; e.g. a data rectangle goes in at level = 0.
|
||
|
// InsertRect2 does the recursion.
|
||
|
//
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::InsertRect( Rect* a_rect, const DATATYPE& a_id, Node** a_root, int a_level )
|
||
|
{
|
||
|
ASSERT( a_rect && a_root );
|
||
|
ASSERT( a_level >= 0 && a_level <= (*a_root)->m_level );
|
||
|
#ifdef _DEBUG
|
||
|
|
||
|
for( int index = 0; index < NUMDIMS; ++index )
|
||
|
{
|
||
|
ASSERT( a_rect->m_min[index] <= a_rect->m_max[index] );
|
||
|
}
|
||
|
|
||
|
#endif // _DEBUG
|
||
|
|
||
|
Node* newRoot;
|
||
|
Node* newNode;
|
||
|
Branch branch;
|
||
|
|
||
|
if( InsertRectRec( a_rect, a_id, *a_root, &newNode, a_level ) ) // Root split
|
||
|
{
|
||
|
newRoot = AllocNode(); // Grow tree taller and new root
|
||
|
newRoot->m_level = (*a_root)->m_level + 1;
|
||
|
branch.m_rect = NodeCover( *a_root );
|
||
|
branch.m_child = *a_root;
|
||
|
AddBranch( &branch, newRoot, NULL );
|
||
|
branch.m_rect = NodeCover( newNode );
|
||
|
branch.m_child = newNode;
|
||
|
AddBranch( &branch, newRoot, NULL );
|
||
|
*a_root = newRoot;
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
return false;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Find the smallest rectangle that includes all rectangles in branches of a node.
|
||
|
RTREE_TEMPLATE
|
||
|
typename RTREE_QUAL::Rect RTREE_QUAL::NodeCover( Node* a_node )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
|
||
|
int firstTime = true;
|
||
|
Rect rect;
|
||
|
InitRect( &rect );
|
||
|
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( firstTime )
|
||
|
{
|
||
|
rect = a_node->m_branch[index].m_rect;
|
||
|
firstTime = false;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
rect = CombineRect( &rect, &(a_node->m_branch[index].m_rect) );
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return rect;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Add a branch to a node. Split the node if necessary.
|
||
|
// Returns 0 if node not split. Old node updated.
|
||
|
// Returns 1 if node split, sets *new_node to address of new node.
|
||
|
// Old node updated, becomes one of two.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::AddBranch( Branch* a_branch, Node* a_node, Node** a_newNode )
|
||
|
{
|
||
|
ASSERT( a_branch );
|
||
|
ASSERT( a_node );
|
||
|
|
||
|
if( a_node->m_count < MAXNODES ) // Split won't be necessary
|
||
|
{
|
||
|
a_node->m_branch[a_node->m_count] = *a_branch;
|
||
|
++a_node->m_count;
|
||
|
|
||
|
return false;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
ASSERT( a_newNode );
|
||
|
|
||
|
SplitNode( a_node, a_branch, a_newNode );
|
||
|
return true;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Disconnect a dependent node.
|
||
|
// Caller must return (or stop using iteration index) after this as count has changed
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::DisconnectBranch( Node* a_node, int a_index )
|
||
|
{
|
||
|
ASSERT( a_node && (a_index >= 0) && (a_index < MAXNODES) );
|
||
|
ASSERT( a_node->m_count > 0 );
|
||
|
|
||
|
// Remove element by swapping with the last element to prevent gaps in array
|
||
|
a_node->m_branch[a_index] = a_node->m_branch[a_node->m_count - 1];
|
||
|
|
||
|
--a_node->m_count;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Pick a branch. Pick the one that will need the smallest increase
|
||
|
// in area to accomodate the new rectangle. This will result in the
|
||
|
// least total area for the covering rectangles in the current node.
|
||
|
// In case of a tie, pick the one which was smaller before, to get
|
||
|
// the best resolution when searching.
|
||
|
RTREE_TEMPLATE
|
||
|
int RTREE_QUAL::PickBranch( Rect* a_rect, Node* a_node )
|
||
|
{
|
||
|
ASSERT( a_rect && a_node );
|
||
|
|
||
|
bool firstTime = true;
|
||
|
ELEMTYPEREAL increase;
|
||
|
ELEMTYPEREAL bestIncr = (ELEMTYPEREAL) -1;
|
||
|
ELEMTYPEREAL area;
|
||
|
ELEMTYPEREAL bestArea;
|
||
|
int best;
|
||
|
Rect tempRect;
|
||
|
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
Rect* curRect = &a_node->m_branch[index].m_rect;
|
||
|
area = CalcRectVolume( curRect );
|
||
|
tempRect = CombineRect( a_rect, curRect );
|
||
|
increase = CalcRectVolume( &tempRect ) - area;
|
||
|
|
||
|
if( (increase < bestIncr) || firstTime )
|
||
|
{
|
||
|
best = index;
|
||
|
bestArea = area;
|
||
|
bestIncr = increase;
|
||
|
firstTime = false;
|
||
|
}
|
||
|
else if( (increase == bestIncr) && (area < bestArea) )
|
||
|
{
|
||
|
best = index;
|
||
|
bestArea = area;
|
||
|
bestIncr = increase;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return best;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Combine two rectangles into larger one containing both
|
||
|
RTREE_TEMPLATE
|
||
|
typename RTREE_QUAL::Rect RTREE_QUAL::CombineRect( Rect* a_rectA, Rect* a_rectB )
|
||
|
{
|
||
|
ASSERT( a_rectA && a_rectB );
|
||
|
|
||
|
Rect newRect;
|
||
|
|
||
|
for( int index = 0; index < NUMDIMS; ++index )
|
||
|
{
|
||
|
newRect.m_min[index] = Min( a_rectA->m_min[index], a_rectB->m_min[index] );
|
||
|
newRect.m_max[index] = Max( a_rectA->m_max[index], a_rectB->m_max[index] );
|
||
|
}
|
||
|
|
||
|
return newRect;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Split a node.
|
||
|
// Divides the nodes branches and the extra one between two nodes.
|
||
|
// Old node is one of the new ones, and one really new one is created.
|
||
|
// Tries more than one method for choosing a partition, uses best result.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::SplitNode( Node* a_node, Branch* a_branch, Node** a_newNode )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
ASSERT( a_branch );
|
||
|
|
||
|
// Could just use local here, but member or external is faster since it is reused
|
||
|
PartitionVars localVars;
|
||
|
PartitionVars* parVars = &localVars;
|
||
|
int level;
|
||
|
|
||
|
// Load all the branches into a buffer, initialize old node
|
||
|
level = a_node->m_level;
|
||
|
GetBranches( a_node, a_branch, parVars );
|
||
|
|
||
|
// Find partition
|
||
|
ChoosePartition( parVars, MINNODES );
|
||
|
|
||
|
// Put branches from buffer into 2 nodes according to chosen partition
|
||
|
*a_newNode = AllocNode();
|
||
|
(*a_newNode)->m_level = a_node->m_level = level;
|
||
|
LoadNodes( a_node, *a_newNode, parVars );
|
||
|
|
||
|
ASSERT( (a_node->m_count + (*a_newNode)->m_count) == parVars->m_total );
|
||
|
}
|
||
|
|
||
|
|
||
|
// Calculate the n-dimensional volume of a rectangle
|
||
|
RTREE_TEMPLATE
|
||
|
ELEMTYPEREAL RTREE_QUAL::RectVolume( Rect* a_rect )
|
||
|
{
|
||
|
ASSERT( a_rect );
|
||
|
|
||
|
ELEMTYPEREAL volume = (ELEMTYPEREAL) 1;
|
||
|
|
||
|
for( int index = 0; index<NUMDIMS; ++index )
|
||
|
{
|
||
|
volume *= a_rect->m_max[index] - a_rect->m_min[index];
|
||
|
}
|
||
|
|
||
|
ASSERT( volume >= (ELEMTYPEREAL) 0 );
|
||
|
|
||
|
return volume;
|
||
|
}
|
||
|
|
||
|
|
||
|
// The exact volume of the bounding sphere for the given Rect
|
||
|
RTREE_TEMPLATE
|
||
|
ELEMTYPEREAL RTREE_QUAL::RectSphericalVolume( Rect* a_rect )
|
||
|
{
|
||
|
ASSERT( a_rect );
|
||
|
|
||
|
ELEMTYPEREAL sumOfSquares = (ELEMTYPEREAL) 0;
|
||
|
ELEMTYPEREAL radius;
|
||
|
|
||
|
for( int index = 0; index < NUMDIMS; ++index )
|
||
|
{
|
||
|
ELEMTYPEREAL halfExtent =
|
||
|
( (ELEMTYPEREAL) a_rect->m_max[index] - (ELEMTYPEREAL) a_rect->m_min[index] ) * 0.5f;
|
||
|
sumOfSquares += halfExtent * halfExtent;
|
||
|
}
|
||
|
|
||
|
radius = (ELEMTYPEREAL) sqrt( sumOfSquares );
|
||
|
|
||
|
// Pow maybe slow, so test for common dims like 2,3 and just use x*x, x*x*x.
|
||
|
if( NUMDIMS == 3 )
|
||
|
{
|
||
|
return radius * radius * radius * m_unitSphereVolume;
|
||
|
}
|
||
|
else if( NUMDIMS == 2 )
|
||
|
{
|
||
|
return radius * radius * m_unitSphereVolume;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
return (ELEMTYPEREAL) (pow( radius, NUMDIMS ) * m_unitSphereVolume);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Use one of the methods to calculate retangle volume
|
||
|
RTREE_TEMPLATE
|
||
|
ELEMTYPEREAL RTREE_QUAL::CalcRectVolume( Rect* a_rect )
|
||
|
{
|
||
|
#ifdef RTREE_USE_SPHERICAL_VOLUME
|
||
|
return RectSphericalVolume( a_rect ); // Slower but helps certain merge cases
|
||
|
#else // RTREE_USE_SPHERICAL_VOLUME
|
||
|
return RectVolume( a_rect ); // Faster but can cause poor merges
|
||
|
#endif // RTREE_USE_SPHERICAL_VOLUME
|
||
|
}
|
||
|
|
||
|
|
||
|
// Load branch buffer with branches from full node plus the extra branch.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::GetBranches( Node* a_node, Branch* a_branch, PartitionVars* a_parVars )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
ASSERT( a_branch );
|
||
|
|
||
|
ASSERT( a_node->m_count == MAXNODES );
|
||
|
|
||
|
// Load the branch buffer
|
||
|
for( int index = 0; index < MAXNODES; ++index )
|
||
|
{
|
||
|
a_parVars->m_branchBuf[index] = a_node->m_branch[index];
|
||
|
}
|
||
|
|
||
|
a_parVars->m_branchBuf[MAXNODES] = *a_branch;
|
||
|
a_parVars->m_branchCount = MAXNODES + 1;
|
||
|
|
||
|
// Calculate rect containing all in the set
|
||
|
a_parVars->m_coverSplit = a_parVars->m_branchBuf[0].m_rect;
|
||
|
|
||
|
for( int index = 1; index < MAXNODES + 1; ++index )
|
||
|
{
|
||
|
a_parVars->m_coverSplit =
|
||
|
CombineRect( &a_parVars->m_coverSplit, &a_parVars->m_branchBuf[index].m_rect );
|
||
|
}
|
||
|
|
||
|
a_parVars->m_coverSplitArea = CalcRectVolume( &a_parVars->m_coverSplit );
|
||
|
|
||
|
InitNode( a_node );
|
||
|
}
|
||
|
|
||
|
|
||
|
// Method #0 for choosing a partition:
|
||
|
// As the seeds for the two groups, pick the two rects that would waste the
|
||
|
// most area if covered by a single rectangle, i.e. evidently the worst pair
|
||
|
// to have in the same group.
|
||
|
// Of the remaining, one at a time is chosen to be put in one of the two groups.
|
||
|
// The one chosen is the one with the greatest difference in area expansion
|
||
|
// depending on which group - the rect most strongly attracted to one group
|
||
|
// and repelled from the other.
|
||
|
// If one group gets too full (more would force other group to violate min
|
||
|
// fill requirement) then other group gets the rest.
|
||
|
// These last are the ones that can go in either group most easily.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::ChoosePartition( PartitionVars* a_parVars, int a_minFill )
|
||
|
{
|
||
|
ASSERT( a_parVars );
|
||
|
|
||
|
ELEMTYPEREAL biggestDiff;
|
||
|
int group, chosen, betterGroup;
|
||
|
|
||
|
InitParVars( a_parVars, a_parVars->m_branchCount, a_minFill );
|
||
|
PickSeeds( a_parVars );
|
||
|
|
||
|
while( ( (a_parVars->m_count[0] + a_parVars->m_count[1]) < a_parVars->m_total )
|
||
|
&& ( a_parVars->m_count[0] < (a_parVars->m_total - a_parVars->m_minFill) )
|
||
|
&& ( a_parVars->m_count[1] < (a_parVars->m_total - a_parVars->m_minFill) ) )
|
||
|
{
|
||
|
biggestDiff = (ELEMTYPEREAL) -1;
|
||
|
|
||
|
for( int index = 0; index<a_parVars->m_total; ++index )
|
||
|
{
|
||
|
if( !a_parVars->m_taken[index] )
|
||
|
{
|
||
|
Rect* curRect = &a_parVars->m_branchBuf[index].m_rect;
|
||
|
Rect rect0 = CombineRect( curRect, &a_parVars->m_cover[0] );
|
||
|
Rect rect1 = CombineRect( curRect, &a_parVars->m_cover[1] );
|
||
|
ELEMTYPEREAL growth0 = CalcRectVolume( &rect0 ) - a_parVars->m_area[0];
|
||
|
ELEMTYPEREAL growth1 = CalcRectVolume( &rect1 ) - a_parVars->m_area[1];
|
||
|
ELEMTYPEREAL diff = growth1 - growth0;
|
||
|
|
||
|
if( diff >= 0 )
|
||
|
{
|
||
|
group = 0;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
group = 1;
|
||
|
diff = -diff;
|
||
|
}
|
||
|
|
||
|
if( diff > biggestDiff )
|
||
|
{
|
||
|
biggestDiff = diff;
|
||
|
chosen = index;
|
||
|
betterGroup = group;
|
||
|
}
|
||
|
else if( (diff == biggestDiff)
|
||
|
&& (a_parVars->m_count[group] < a_parVars->m_count[betterGroup]) )
|
||
|
{
|
||
|
chosen = index;
|
||
|
betterGroup = group;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
Classify( chosen, betterGroup, a_parVars );
|
||
|
}
|
||
|
|
||
|
// If one group too full, put remaining rects in the other
|
||
|
if( (a_parVars->m_count[0] + a_parVars->m_count[1]) < a_parVars->m_total )
|
||
|
{
|
||
|
if( a_parVars->m_count[0] >= a_parVars->m_total - a_parVars->m_minFill )
|
||
|
{
|
||
|
group = 1;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
group = 0;
|
||
|
}
|
||
|
|
||
|
for( int index = 0; index<a_parVars->m_total; ++index )
|
||
|
{
|
||
|
if( !a_parVars->m_taken[index] )
|
||
|
{
|
||
|
Classify( index, group, a_parVars );
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
ASSERT( (a_parVars->m_count[0] + a_parVars->m_count[1]) == a_parVars->m_total );
|
||
|
ASSERT( (a_parVars->m_count[0] >= a_parVars->m_minFill)
|
||
|
&& (a_parVars->m_count[1] >= a_parVars->m_minFill) );
|
||
|
}
|
||
|
|
||
|
|
||
|
// Copy branches from the buffer into two nodes according to the partition.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::LoadNodes( Node* a_nodeA, Node* a_nodeB, PartitionVars* a_parVars )
|
||
|
{
|
||
|
ASSERT( a_nodeA );
|
||
|
ASSERT( a_nodeB );
|
||
|
ASSERT( a_parVars );
|
||
|
|
||
|
for( int index = 0; index < a_parVars->m_total; ++index )
|
||
|
{
|
||
|
ASSERT( a_parVars->m_partition[index] == 0 || a_parVars->m_partition[index] == 1 );
|
||
|
|
||
|
if( a_parVars->m_partition[index] == 0 )
|
||
|
{
|
||
|
AddBranch( &a_parVars->m_branchBuf[index], a_nodeA, NULL );
|
||
|
}
|
||
|
else if( a_parVars->m_partition[index] == 1 )
|
||
|
{
|
||
|
AddBranch( &a_parVars->m_branchBuf[index], a_nodeB, NULL );
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Initialize a PartitionVars structure.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::InitParVars( PartitionVars* a_parVars, int a_maxRects, int a_minFill )
|
||
|
{
|
||
|
ASSERT( a_parVars );
|
||
|
|
||
|
a_parVars->m_count[0] = a_parVars->m_count[1] = 0;
|
||
|
a_parVars->m_area[0] = a_parVars->m_area[1] = (ELEMTYPEREAL) 0;
|
||
|
a_parVars->m_total = a_maxRects;
|
||
|
a_parVars->m_minFill = a_minFill;
|
||
|
|
||
|
for( int index = 0; index < a_maxRects; ++index )
|
||
|
{
|
||
|
a_parVars->m_taken[index] = false;
|
||
|
a_parVars->m_partition[index] = -1;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::PickSeeds( PartitionVars* a_parVars )
|
||
|
{
|
||
|
int seed0, seed1;
|
||
|
ELEMTYPEREAL worst, waste;
|
||
|
ELEMTYPEREAL area[MAXNODES + 1];
|
||
|
|
||
|
for( int index = 0; index<a_parVars->m_total; ++index )
|
||
|
{
|
||
|
area[index] = CalcRectVolume( &a_parVars->m_branchBuf[index].m_rect );
|
||
|
}
|
||
|
|
||
|
worst = -a_parVars->m_coverSplitArea - 1;
|
||
|
|
||
|
for( int indexA = 0; indexA < a_parVars->m_total - 1; ++indexA )
|
||
|
{
|
||
|
for( int indexB = indexA + 1; indexB < a_parVars->m_total; ++indexB )
|
||
|
{
|
||
|
Rect oneRect = CombineRect( &a_parVars->m_branchBuf[indexA].m_rect,
|
||
|
&a_parVars->m_branchBuf[indexB].m_rect );
|
||
|
waste = CalcRectVolume( &oneRect ) - area[indexA] - area[indexB];
|
||
|
|
||
|
if( waste > worst )
|
||
|
{
|
||
|
worst = waste;
|
||
|
seed0 = indexA;
|
||
|
seed1 = indexB;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
Classify( seed0, 0, a_parVars );
|
||
|
Classify( seed1, 1, a_parVars );
|
||
|
}
|
||
|
|
||
|
|
||
|
// Put a branch in one of the groups.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::Classify( int a_index, int a_group, PartitionVars* a_parVars )
|
||
|
{
|
||
|
ASSERT( a_parVars );
|
||
|
ASSERT( !a_parVars->m_taken[a_index] );
|
||
|
|
||
|
a_parVars->m_partition[a_index] = a_group;
|
||
|
a_parVars->m_taken[a_index] = true;
|
||
|
|
||
|
if( a_parVars->m_count[a_group] == 0 )
|
||
|
{
|
||
|
a_parVars->m_cover[a_group] = a_parVars->m_branchBuf[a_index].m_rect;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
a_parVars->m_cover[a_group] = CombineRect( &a_parVars->m_branchBuf[a_index].m_rect,
|
||
|
&a_parVars->m_cover[a_group] );
|
||
|
}
|
||
|
|
||
|
a_parVars->m_area[a_group] = CalcRectVolume( &a_parVars->m_cover[a_group] );
|
||
|
++a_parVars->m_count[a_group];
|
||
|
}
|
||
|
|
||
|
|
||
|
// Delete a data rectangle from an index structure.
|
||
|
// Pass in a pointer to a Rect, the tid of the record, ptr to ptr to root node.
|
||
|
// Returns 1 if record not found, 0 if success.
|
||
|
// RemoveRect provides for eliminating the root.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::RemoveRect( Rect* a_rect, const DATATYPE& a_id, Node** a_root )
|
||
|
{
|
||
|
ASSERT( a_rect && a_root );
|
||
|
ASSERT( *a_root );
|
||
|
|
||
|
Node* tempNode;
|
||
|
ListNode* reInsertList = NULL;
|
||
|
|
||
|
if( !RemoveRectRec( a_rect, a_id, *a_root, &reInsertList ) )
|
||
|
{
|
||
|
// Found and deleted a data item
|
||
|
// Reinsert any branches from eliminated nodes
|
||
|
while( reInsertList )
|
||
|
{
|
||
|
tempNode = reInsertList->m_node;
|
||
|
|
||
|
for( int index = 0; index < tempNode->m_count; ++index )
|
||
|
{
|
||
|
InsertRect( &(tempNode->m_branch[index].m_rect),
|
||
|
tempNode->m_branch[index].m_data,
|
||
|
a_root,
|
||
|
tempNode->m_level );
|
||
|
}
|
||
|
|
||
|
ListNode* remLNode = reInsertList;
|
||
|
reInsertList = reInsertList->m_next;
|
||
|
|
||
|
FreeNode( remLNode->m_node );
|
||
|
FreeListNode( remLNode );
|
||
|
}
|
||
|
|
||
|
// Check for redundant root (not leaf, 1 child) and eliminate
|
||
|
if( (*a_root)->m_count == 1 && (*a_root)->IsInternalNode() )
|
||
|
{
|
||
|
tempNode = (*a_root)->m_branch[0].m_child;
|
||
|
|
||
|
ASSERT( tempNode );
|
||
|
FreeNode( *a_root );
|
||
|
*a_root = tempNode;
|
||
|
}
|
||
|
|
||
|
return false;
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
return true;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Delete a rectangle from non-root part of an index structure.
|
||
|
// Called by RemoveRect. Descends tree recursively,
|
||
|
// merges branches on the way back up.
|
||
|
// Returns 1 if record not found, 0 if success.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::RemoveRectRec( Rect* a_rect,
|
||
|
const DATATYPE& a_id,
|
||
|
Node* a_node,
|
||
|
ListNode** a_listNode )
|
||
|
{
|
||
|
ASSERT( a_rect && a_node && a_listNode );
|
||
|
ASSERT( a_node->m_level >= 0 );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // not a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( Overlap( a_rect, &(a_node->m_branch[index].m_rect) ) )
|
||
|
{
|
||
|
if( !RemoveRectRec( a_rect, a_id, a_node->m_branch[index].m_child, a_listNode ) )
|
||
|
{
|
||
|
if( a_node->m_branch[index].m_child->m_count >= MINNODES )
|
||
|
{
|
||
|
// child removed, just resize parent rect
|
||
|
a_node->m_branch[index].m_rect =
|
||
|
NodeCover( a_node->m_branch[index].m_child );
|
||
|
}
|
||
|
else
|
||
|
{
|
||
|
// child removed, not enough entries in node, eliminate node
|
||
|
ReInsert( a_node->m_branch[index].m_child, a_listNode );
|
||
|
DisconnectBranch( a_node, index ); // Must return after this call as count has changed
|
||
|
}
|
||
|
|
||
|
return false;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
else // A leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( a_node->m_branch[index].m_child == (Node*) a_id )
|
||
|
{
|
||
|
DisconnectBranch( a_node, index ); // Must return after this call as count has changed
|
||
|
return false;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
// Decide whether two rectangles overlap.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Overlap( Rect* a_rectA, Rect* a_rectB )
|
||
|
{
|
||
|
ASSERT( a_rectA && a_rectB );
|
||
|
|
||
|
for( int index = 0; index < NUMDIMS; ++index )
|
||
|
{
|
||
|
if( a_rectA->m_min[index] > a_rectB->m_max[index]
|
||
|
|| a_rectB->m_min[index] > a_rectA->m_max[index] )
|
||
|
{
|
||
|
return false;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Add a node to the reinsertion list. All its branches will later
|
||
|
// be reinserted into the index structure.
|
||
|
RTREE_TEMPLATE
|
||
|
void RTREE_QUAL::ReInsert( Node* a_node, ListNode** a_listNode )
|
||
|
{
|
||
|
ListNode* newListNode;
|
||
|
|
||
|
newListNode = AllocListNode();
|
||
|
newListNode->m_node = a_node;
|
||
|
newListNode->m_next = *a_listNode;
|
||
|
*a_listNode = newListNode;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Search in an index tree or subtree for all data retangles that overlap the argument rectangle.
|
||
|
RTREE_TEMPLATE
|
||
|
bool RTREE_QUAL::Search( Node* a_node, Rect* a_rect, int& a_foundCount, bool a_resultCallback(
|
||
|
DATATYPE a_data,
|
||
|
void* a_context ), void* a_context )
|
||
|
{
|
||
|
ASSERT( a_node );
|
||
|
ASSERT( a_node->m_level >= 0 );
|
||
|
ASSERT( a_rect );
|
||
|
|
||
|
if( a_node->IsInternalNode() ) // This is an internal node in the tree
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( Overlap( a_rect, &a_node->m_branch[index].m_rect ) )
|
||
|
{
|
||
|
if( !Search( a_node->m_branch[index].m_child, a_rect, a_foundCount,
|
||
|
a_resultCallback, a_context ) )
|
||
|
{
|
||
|
return false; // Don't continue searching
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
else // This is a leaf node
|
||
|
{
|
||
|
for( int index = 0; index < a_node->m_count; ++index )
|
||
|
{
|
||
|
if( Overlap( a_rect, &a_node->m_branch[index].m_rect ) )
|
||
|
{
|
||
|
DATATYPE& id = a_node->m_branch[index].m_data;
|
||
|
|
||
|
// NOTE: There are different ways to return results. Here's where to modify
|
||
|
if( &a_resultCallback )
|
||
|
{
|
||
|
++a_foundCount;
|
||
|
|
||
|
if( !a_resultCallback( id, a_context ) )
|
||
|
{
|
||
|
return false; // Don't continue searching
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
|
||
|
return true; // Continue searching
|
||
|
}
|
||
|
|
||
|
|
||
|
#undef RTREE_TEMPLATE
|
||
|
#undef RTREE_QUAL
|
||
|
#undef RTREE_SEARCH_TEMPLATE
|
||
|
#undef RTREE_SEARCH_QUAL
|
||
|
|
||
|
#endif // RTREE_H
|