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/***************************************************************************
* Copyright (C) 2005-2013 by the FIFE team *
* http://www.fifengine.net *
* This file is part of FIFE. *
* *
* FIFE is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Lesser General Public *
* License as published by the Free Software Foundation; either *
* version 2.1 of the License, or (at your option) any later version. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this library; if not, write to the *
* Free Software Foundation, Inc., *
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA *
***************************************************************************/
#ifndef FIFE_UTIL_QUADTREE_H
#define FIFE_UTIL_QUADTREE_H
// Standard C++ library includes
#include <cassert>
// 3rd party library includes
// FIFE includes
// These includes are split up in two parts, separated by one empty line
// First block: files included from the FIFE root src directory
// Second block: files included from the same folder
#include "rect.h"
namespace FIFE {
/** QuadTree Node
*/
template<typename DataType, int32_t MinimumSize = 128>
class QuadNode {
protected:
QuadNode *m_parent;
QuadNode *m_nodes[4];
int32_t m_x,m_y,m_size;
DataType m_data;
public:
/** Create a new QuadNode
* @param parent The parent QuadNode this node is contained in or null.
* @param x The X position of this QuadNode.
* @param y The Y position of this QuadNode.
* @param size The width and height of this QuadNode.
*/
QuadNode(QuadNode* parent, int32_t x, int32_t y, int32_t size)
: m_parent(parent),m_x(x),m_y(y),m_size(size),m_data() {
m_nodes[0] = m_nodes[1] = m_nodes[2] = m_nodes[3] = 0L;
}
~QuadNode() {
delete m_nodes[0];
delete m_nodes[1];
delete m_nodes[2];
delete m_nodes[3];
}
/** Find a container node for a given rectangle.
* This guarantees to return a Node with the following
* properties:
* 1.) The node contains the rectangle (as defined by the contains
* function). 2.) All subnodes can not contain the rectangle or it has the MinimumSize.
* 3.) In case these properties can only be fulfilled by extending the tree upwards,
* that is by creating a new root node - this function will return null.
*
* This function will extend the tree automatically so that this guarantee
* can be fulfilled.
*/
QuadNode* find_container(int32_t x, int32_t y, int32_t w, int32_t h);
QuadNode* find_container(const Rect& rect) {
return find_container(rect.x,rect.y,rect.w,rect.h);
}
/** Apply a visitor recursively to the QuadTree
* A visitor is an object which has a @c visit method which
* takes as parameters a pointer to a @c QuadNode and an integer.
* The integer is the depth of the given node.
* If the method returns @c true it is applied recursivly to all
* existing subnodes with a depth increased by one.
* The application happens in Z order (top left, top right, bottom
* left and finally bottom right).
*/
template<typename Visitor>
void apply_visitor(Visitor& visitor, int32_t d = 0) {
if( !visitor.visit(this, d) )
return;
if( m_nodes[0] ) m_nodes[0]->apply_visitor(visitor, d + 1);
if( m_nodes[1] ) m_nodes[1]->apply_visitor(visitor, d + 1);
if( m_nodes[2] ) m_nodes[2]->apply_visitor(visitor, d + 1);
if( m_nodes[3] ) m_nodes[3]->apply_visitor(visitor, d + 1);
}
/** Return the X position of the node.
*/
int32_t x() const { return m_x; };
/** Return the Y position of the node.
*/
int32_t y() const { return m_y; };
/** Return the size (width and height) of the node.
*/
int32_t size() const { return m_size; };
/** Return a reference to the data of the node.
*/
DataType& data() { return m_data; };
/** Check whether a rectangle is contained in the node.
* A rectangle is contained in a node, iff:
* @code
* x >= x() and x + w < x() + size() and y >= y() and y + h < y() + size()
* @endcode
* That is the top and left borders are inclusive, but the right and bottom
* borders are exclusive.
*/
bool contains(int32_t x, int32_t y, int32_t w, int32_t h) const;
/// Expand the subnodes - only needed for debugging/profiling worst cases.
void splice();
/** Return the parent node
*/
QuadNode* parent() { return m_parent; };
/** Create a new parent node for a rectangle
* This will create a new parent node end expand the tree so that
* the given rectangle will eventually be contained after enough calls
* of this function.
*/
QuadNode* create_parent(int32_t x, int32_t y, int32_t w, int32_t h);
protected:
int32_t subnode(int32_t x, int32_t y, int32_t w, int32_t h) const;
};
/** Dynamic QuadTree
* A space partitioning tree automatically expanding to adjust
* to any object size put into the data structure.
*/
template<typename DataType, int32_t MinimumSize = 128>
class QuadTree {
public:
typedef QuadNode<DataType,MinimumSize> Node;
/** Create a new QuadTree
* @param x The X position of the starting node.
* @param y The Y position of the starting node.
* @param starting_size The width and height of the starting node.
*/
QuadTree(int32_t x = 0, int32_t y = 0, int32_t starting_size = MinimumSize) {
assert(starting_size>1);
m_cursor = m_root = new Node(0L,x,y,starting_size);
}
~QuadTree() {
assert( m_root->parent() == 0 );
delete m_root;
}
/** Find a container node for a given rectangle.
* This guarantees to return a Node with the following
* properties:
* 1.) The node contains the rectangle (as defined by the contains
* function). 2.) All subnodes can not contain the rectangle or it has the MinimumSize.
* This function will extend the tree automatically so that this guarantee
* can be fulfilled.
* This function is optimized for sequential access. This means accessing different rectangles
* that are 'near' to each other will be fast.
* @warning If you put different sized objects in (for example) lists in the quadnode,
* the returned node will @b not contain all objects which might intersect with the given
* rectangle.
*/
Node* find_container(int32_t x, int32_t y, int32_t w, int32_t h);
Node* find_container(const Rect& rect) {
return find_container(rect.x,rect.y,rect.w,rect.h);
}
/** Apply a visitor recursively to the QuadTree
*/
template<typename Visitor>
Visitor& apply_visitor(Visitor& visitor) {
m_root->apply_visitor(visitor,0);
return visitor;
}
void clear() {
int32_t x = m_root->x();
int32_t y = m_root->y();
int32_t s = m_root->size();
delete m_root;
m_cursor = m_root = new Node(0L,x,y,s);
}
protected:
Node *m_root;
Node *m_cursor;
};
template<typename DataType, int32_t MinimumSize>
inline
bool QuadNode<DataType,MinimumSize>::contains(int32_t x, int32_t y, int32_t w, int32_t h) const {
if (x < m_x)
return false;
if (y < m_y)
return false;
if (x + w >= m_x + m_size)
return false;
if (y + h >= m_y + m_size)
return false;
return true;
}
template<typename DataType, int32_t MinimumSize>
inline
int32_t QuadNode<DataType,MinimumSize>::subnode(int32_t x, int32_t y, int32_t w, int32_t h) const {
/*
Very small performance impact - roughly 5% for
the already very fast find_container function.
*/
//assert(contains(x,y,w,h));
if (x >= m_x + m_size/2) {
if (y >= m_y + m_size/2) {
return 3;
}
if (y + h < m_y + m_size/2) {
return 1;
}
return -1;
}
if (x + w < m_x + m_size/2) {
if (y >= m_y + m_size/2) {
return 2;
}
if (y + h < m_y + m_size/2) {
return 0;
}
}
return -1;
}
template<typename DataType,int32_t MinimumSize>
QuadNode<DataType,MinimumSize>*
QuadNode<DataType,MinimumSize>::find_container(int32_t x, int32_t y, int32_t w, int32_t h) {
if( !contains(x,y,w,h) ) {
if (m_parent) {
return m_parent->find_container(x,y,w,h);
}
return 0L;
}
if (m_size <= MinimumSize) {
return this;
}
int32_t r = subnode(x,y,w,h);
switch(r) {
case -1:
return this;
case 0:
if( m_nodes[0] == 0) {
m_nodes[0] = new QuadNode<DataType,MinimumSize>(this,m_x,m_y,m_size/2);
}
return m_nodes[0]->find_container(x,y,w,h);
case 1:
if( m_nodes[1] == 0) {
m_nodes[1] = new QuadNode<DataType,MinimumSize>(this,m_x + m_size/2,m_y,m_size/2);
}
return m_nodes[1]->find_container(x,y,w,h);
case 2:
if( m_nodes[2] == 0) {
m_nodes[2] = new QuadNode<DataType,MinimumSize>(this,m_x,m_y + m_size/2,m_size/2);
}
return m_nodes[2]->find_container(x,y,w,h);
case 3:
if( m_nodes[3] == 0) {
m_nodes[3] = new QuadNode<DataType,MinimumSize>(this,m_x + m_size/2,m_y + m_size/2,m_size/2);
}
return m_nodes[3]->find_container(x,y,w,h);
default:
assert("BUG in QuadTree !" == 0);
return 0L;
}
}
template<typename DataType,int32_t MinimumSize>
QuadNode<DataType,MinimumSize>*
QuadNode<DataType,MinimumSize>::create_parent(int32_t x, int32_t y, int32_t w, int32_t h) {
/*
If used only by the tree, these two are superfluous.
*/
if( contains(x,y,w,h) )
return this;
if( m_parent )
return m_parent;
if (x >= m_x) {
if (y >= m_y) { // we are node 0
m_parent = new QuadNode(0L,m_x,m_y,m_size*2);
m_parent->m_nodes[0] = this;
return m_parent;
}
if (y + w < m_y + m_size) { // we are node 2
m_parent = new QuadNode(0L,m_x,m_y - m_size,m_size*2);
m_parent->m_nodes[2] = this;
return m_parent;
}
}
if (x + h < m_x + m_size) {
if (y >= m_y) { // we are node 1
m_parent = new QuadNode(0L,m_x-m_size,m_y,m_size*2);
m_parent->m_nodes[1] = this;
return m_parent;
}
if (y + w < m_y + m_size) { // we are node 3
m_parent = new QuadNode(0L,m_x-m_size,m_y - m_size,m_size*2);
m_parent->m_nodes[3] = this;
return m_parent;
}
}
// It does not matter....
m_parent = new QuadNode(0L,m_x,m_y,m_size*2);
m_parent->m_nodes[0] = this;
return m_parent;
}
template<typename DataType,int32_t MinimumSize>
void QuadNode<DataType,MinimumSize>::splice() {
if (m_size <= MinimumSize)
return;
if( m_nodes[0] == 0) {
m_nodes[0] = new QuadNode<DataType,MinimumSize>(this,m_x,m_y,m_size/2);
}
if( m_nodes[1] == 0) {
m_nodes[1] = new QuadNode<DataType,MinimumSize>(this,m_x + m_size/2,m_y,m_size/2);
}
if( m_nodes[2] == 0) {
m_nodes[2] = new QuadNode<DataType,MinimumSize>(this,m_x,m_y + m_size/2,m_size/2);
}
if( m_nodes[3] == 0) {
m_nodes[3] = new QuadNode<DataType,MinimumSize>(this,m_x + m_size/2,m_y + m_size/2,m_size/2);
}
}
template<typename DataType,int32_t MinimumSize>
QuadNode<DataType,MinimumSize>*
QuadTree<DataType,MinimumSize>::find_container(int32_t x, int32_t y, int32_t w, int32_t h) {
m_cursor = m_cursor->find_container(x,y,w,h);
while( m_cursor == 0L ) {
m_root = m_root->create_parent(x,y,w,h);
m_cursor = m_root->find_container(x,y,w,h);
}
return m_cursor;
}
}
#endif // QUADTREE_H
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