RMQuadTree.m
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//
// RMQuadTree.m
// MapView
//
// Created by Thomas Rasch on 27.07.11.
// Copyright 2011 Alpstein. All rights reserved.
//
#import "RMQuadTree.h"
#import "RMAnnotation.h"
#import "RMProjection.h"
#import "RMMapView.h"
#pragma mark -
#pragma mark RMQuadTreeNode implementation
#define kMinimumQuadTreeElementWidth 200.0 // projected meters
#define kMaxAnnotationsPerLeaf 4
@interface RMQuadTreeNode ()
- (id)initWithMapView:(RMMapView *)aMapView forParent:(RMQuadTreeNode *)aParentNode inBoundingBox:(RMProjectedRect)aBoundingBox;
- (void)addAnnotation:(RMAnnotation *)annotation;
- (void)removeAnnotation:(RMAnnotation *)annotation;
- (void)addAnnotationsInBoundingBox:(RMProjectedRect)aBoundingBox toMutableArray:(NSMutableArray *)someArray createClusterAnnotations:(BOOL)createClusterAnnotations withClusterSize:(RMProjectedSize)clusterSize findGravityCenter:(BOOL)findGravityCenter;
- (void)removeUpwardsAllCachedClusterAnnotations;
@end
@implementation RMQuadTreeNode
@synthesize nodeType;
@synthesize boundingBox, northWestBoundingBox, northEastBoundingBox, southWestBoundingBox, southEastBoundingBox;
@synthesize parentNode, northWest, northEast, southWest, southEast;
- (id)initWithMapView:(RMMapView *)aMapView forParent:(RMQuadTreeNode *)aParentNode inBoundingBox:(RMProjectedRect)aBoundingBox
{
if (!(self = [super init]))
return nil;
// RMLog(@"New quadtree node at {(%.0f,%.0f),(%.0f,%.0f)}", aBoundingBox.origin.easting, aBoundingBox.origin.northing, aBoundingBox.size.width, aBoundingBox.size.height);
mapView = aMapView;
parentNode = [aParentNode retain];
northWest = northEast = southWest = southEast = nil;
annotations = [NSMutableArray new];
boundingBox = aBoundingBox;
cachedClusterAnnotation = nil;
double halfWidth = boundingBox.size.width / 2.0, halfHeight = boundingBox.size.height / 2.0;
northWestBoundingBox = RMProjectedRectMake(boundingBox.origin.x, boundingBox.origin.y + halfHeight, halfWidth, halfHeight);
northEastBoundingBox = RMProjectedRectMake(boundingBox.origin.x + halfWidth, boundingBox.origin.y + halfHeight, halfWidth, halfHeight);
southWestBoundingBox = RMProjectedRectMake(boundingBox.origin.x, boundingBox.origin.y, halfWidth, halfHeight);
southEastBoundingBox = RMProjectedRectMake(boundingBox.origin.x + halfWidth, boundingBox.origin.y, halfWidth, halfHeight);
nodeType = nodeTypeLeaf;
return self;
}
- (void)dealloc
{
mapView = nil;
[cachedClusterAnnotation release]; cachedClusterAnnotation = nil;
@synchronized (annotations) {
for (RMAnnotation *annotation in annotations)
{
annotation.quadTreeNode = nil;
}
}
[annotations release]; annotations = nil;
[northWest release]; northWest = nil;
[northEast release]; northEast = nil;
[southWest release]; southWest = nil;
[southEast release]; southEast = nil;
[parentNode release]; parentNode = nil;
[super dealloc];
}
- (NSArray *)annotations
{
NSArray *immutableAnnotations = nil;
@synchronized (annotations) {
immutableAnnotations = [NSArray arrayWithArray:annotations];
}
return immutableAnnotations;
}
- (void)addAnnotationToChildNodes:(RMAnnotation *)annotation
{
RMProjectedRect projectedRect = annotation.projectedBoundingBox;
if (RMProjectedRectContainsProjectedRect(northWestBoundingBox, projectedRect)) {
if (!northWest) northWest = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:self inBoundingBox:northWestBoundingBox];
[northWest addAnnotation:annotation];
} else if (RMProjectedRectContainsProjectedRect(northEastBoundingBox, projectedRect)) {
if (!northEast) northEast = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:self inBoundingBox:northEastBoundingBox];
[northEast addAnnotation:annotation];
} else if (RMProjectedRectContainsProjectedRect(southWestBoundingBox, projectedRect)) {
if (!southWest) southWest = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:self inBoundingBox:southWestBoundingBox];
[southWest addAnnotation:annotation];
} else if (RMProjectedRectContainsProjectedRect(southEastBoundingBox, projectedRect)) {
if (!southEast) southEast = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:self inBoundingBox:southEastBoundingBox];
[southEast addAnnotation:annotation];
} else {
@synchronized (annotations) {
[annotations addObject:annotation];
}
annotation.quadTreeNode = self;
[self removeUpwardsAllCachedClusterAnnotations];
}
}
- (void)addAnnotation:(RMAnnotation *)annotation
{
if (nodeType == nodeTypeLeaf)
{
@synchronized (annotations) {
[annotations addObject:annotation];
}
annotation.quadTreeNode = self;
if ([annotations count] <= kMaxAnnotationsPerLeaf || boundingBox.size.width < (kMinimumQuadTreeElementWidth * 2.0)) {
[self removeUpwardsAllCachedClusterAnnotations];
return;
}
nodeType = nodeTypeNode;
// problem: all annotations that cross two quadrants will always be re-added here, which
// might be a problem depending on kMaxAnnotationsPerLeaf
NSArray *immutableAnnotations = nil;
@synchronized (annotations) {
immutableAnnotations = [NSArray arrayWithArray:annotations];
[annotations removeAllObjects];
}
for (RMAnnotation *annotationToMove in immutableAnnotations)
{
[self addAnnotationToChildNodes:annotationToMove];
}
return;
}
[self addAnnotationToChildNodes:annotation];
}
- (void)removeAnnotation:(RMAnnotation *)annotation
{
if (!annotation.quadTreeNode) return;
annotation.quadTreeNode = nil;
@synchronized (annotations) {
[annotations removeObject:annotation];
}
[self removeUpwardsAllCachedClusterAnnotations];
}
- (void)annotationDidChangeBoundingBox:(RMAnnotation *)annotation
{
if (RMProjectedRectContainsProjectedRect(boundingBox, annotation.projectedBoundingBox))
return;
[annotation retain];
[self removeAnnotation:annotation];
RMQuadTreeNode *nextParentNode = self;
while ((nextParentNode = [nextParentNode parentNode]))
{
if (RMProjectedRectContainsProjectedRect(nextParentNode.boundingBox, annotation.projectedBoundingBox)) {
[nextParentNode addAnnotationToChildNodes:annotation];
break;
}
}
[annotation release];
}
- (NSUInteger)countEnclosedAnnotations
{
NSUInteger count = [annotations count];
count += [northWest countEnclosedAnnotations];
count += [northEast countEnclosedAnnotations];
count += [southWest countEnclosedAnnotations];
count += [southEast countEnclosedAnnotations];
return count;
}
- (NSArray *)enclosedAnnotations
{
NSMutableArray *enclosedAnnotations = [NSMutableArray arrayWithArray:self.annotations];
if (northWest) [enclosedAnnotations addObjectsFromArray:northWest.enclosedAnnotations];
if (northEast) [enclosedAnnotations addObjectsFromArray:northEast.enclosedAnnotations];
if (southWest) [enclosedAnnotations addObjectsFromArray:southWest.enclosedAnnotations];
if (southEast) [enclosedAnnotations addObjectsFromArray:southEast.enclosedAnnotations];
return enclosedAnnotations;
}
- (NSArray *)unclusteredAnnotations
{
NSMutableArray *unclusteredAnnotations = [NSMutableArray array];
@synchronized (annotations) {
for (RMAnnotation *annotation in annotations)
{
if (!annotation.clusteringEnabled)
[unclusteredAnnotations addObject:annotation];
}
}
if (northWest) [unclusteredAnnotations addObjectsFromArray:[northWest unclusteredAnnotations]];
if (northEast) [unclusteredAnnotations addObjectsFromArray:[northEast unclusteredAnnotations]];
if (southWest) [unclusteredAnnotations addObjectsFromArray:[southWest unclusteredAnnotations]];
if (southEast) [unclusteredAnnotations addObjectsFromArray:[southEast unclusteredAnnotations]];
return unclusteredAnnotations;
}
- (void)addAnnotationsInBoundingBox:(RMProjectedRect)aBoundingBox toMutableArray:(NSMutableArray *)someArray createClusterAnnotations:(BOOL)createClusterAnnotations withClusterSize:(RMProjectedSize)clusterSize findGravityCenter:(BOOL)findGravityCenter
{
if (createClusterAnnotations)
{
double halfWidth = boundingBox.size.width / 2.0;
if (boundingBox.size.width >= clusterSize.width && halfWidth < clusterSize.width)
{
if (!cachedClusterAnnotation)
{
NSArray *enclosedAnnotations = self.enclosedAnnotations;
NSUInteger enclosedAnnotationsCount = [enclosedAnnotations count];
if (enclosedAnnotationsCount < 2) {
[someArray addObjectsFromArray:enclosedAnnotations];
return;
}
RMProjectedPoint clusterMarkerPosition;
if (findGravityCenter)
{
double averageX = 0.0, averageY = 0.0;
for (RMAnnotation *annotation in enclosedAnnotations)
{
averageX += annotation.projectedLocation.x;
averageY += annotation.projectedLocation.y;
}
averageX /= (double)enclosedAnnotationsCount;
averageY /= (double) enclosedAnnotationsCount;
double halfClusterWidth = clusterSize.width / 2.0, halfClusterHeight = clusterSize.height / 2.0;
if (averageX - halfClusterWidth < boundingBox.origin.x) averageX = boundingBox.origin.x + halfClusterWidth;
if (averageX + halfClusterWidth > boundingBox.origin.x + boundingBox.size.width) averageX = boundingBox.origin.x + boundingBox.size.width - halfClusterWidth;
if (averageY - halfClusterHeight < boundingBox.origin.y) averageY = boundingBox.origin.y + halfClusterHeight;
if (averageY + halfClusterHeight > boundingBox.origin.y + boundingBox.size.height) averageY = boundingBox.origin.y + boundingBox.size.height - halfClusterHeight;
// TODO: anchorPoint
clusterMarkerPosition = RMProjectedPointMake(averageX, averageY);
} else
{
clusterMarkerPosition = RMProjectedPointMake(boundingBox.origin.x + halfWidth, boundingBox.origin.y + (boundingBox.size.height / 2.0));
}
cachedClusterAnnotation = [[RMAnnotation alloc] initWithMapView:mapView coordinate:[[mapView projection] projectedPointToCoordinate:clusterMarkerPosition] andTitle:[NSString stringWithFormat:@"%d", enclosedAnnotationsCount]];
cachedClusterAnnotation.annotationType = kRMClusterAnnotationTypeName;
cachedClusterAnnotation.userInfo = self;
}
[someArray addObject:cachedClusterAnnotation];
[someArray addObjectsFromArray:[self unclusteredAnnotations]];
return;
}
// TODO: leaf clustering (necessary?)
if (nodeType == nodeTypeLeaf) {
@synchronized (annotations) {
[someArray addObjectsFromArray:annotations];
}
return;
}
} else {
if (nodeType == nodeTypeLeaf) {
@synchronized (annotations) {
[someArray addObjectsFromArray:annotations];
}
return;
}
}
if (RMProjectedRectIntersectsProjectedRect(aBoundingBox, northWestBoundingBox))
[northWest addAnnotationsInBoundingBox:aBoundingBox toMutableArray:someArray createClusterAnnotations:createClusterAnnotations withClusterSize:clusterSize findGravityCenter:findGravityCenter];
if (RMProjectedRectIntersectsProjectedRect(aBoundingBox, northEastBoundingBox))
[northEast addAnnotationsInBoundingBox:aBoundingBox toMutableArray:someArray createClusterAnnotations:createClusterAnnotations withClusterSize:clusterSize findGravityCenter:findGravityCenter];
if (RMProjectedRectIntersectsProjectedRect(aBoundingBox, southWestBoundingBox))
[southWest addAnnotationsInBoundingBox:aBoundingBox toMutableArray:someArray createClusterAnnotations:createClusterAnnotations withClusterSize:clusterSize findGravityCenter:findGravityCenter];
if (RMProjectedRectIntersectsProjectedRect(aBoundingBox, southEastBoundingBox))
[southEast addAnnotationsInBoundingBox:aBoundingBox toMutableArray:someArray createClusterAnnotations:createClusterAnnotations withClusterSize:clusterSize findGravityCenter:findGravityCenter];
@synchronized (annotations) {
for (RMAnnotation *annotation in annotations)
{
if (RMProjectedRectIntersectsProjectedRect(aBoundingBox, annotation.projectedBoundingBox))
[someArray addObject:annotation];
}
}
}
- (void)removeUpwardsAllCachedClusterAnnotations
{
if (parentNode) [parentNode removeUpwardsAllCachedClusterAnnotations];
[cachedClusterAnnotation release]; cachedClusterAnnotation = nil;
}
@end
#pragma mark -
#pragma mark RMQuadTree implementation
@implementation RMQuadTree
- (id)initWithMapView:(RMMapView *)aMapView
{
if (!(self = [super init]))
return nil;
mapView = aMapView;
rootNode = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:nil inBoundingBox:[[RMProjection googleProjection] planetBounds]];
return self;
}
- (void)dealloc
{
mapView = nil;
[rootNode release]; rootNode = nil;
[super dealloc];
}
- (void)addAnnotation:(RMAnnotation *)annotation
{
@synchronized (self) {
[rootNode addAnnotation:annotation];
}
}
- (void)removeAnnotation:(RMAnnotation *)annotation
{
@synchronized (self) {
[annotation.quadTreeNode removeAnnotation:annotation];
}
}
- (void)removeAllObjects
{
@synchronized (self) {
[rootNode release];
rootNode = [[RMQuadTreeNode alloc] initWithMapView:mapView forParent:nil inBoundingBox:[[RMProjection googleProjection] planetBounds]];
}
}
#pragma mark -
- (NSArray *)annotationsInProjectedRect:(RMProjectedRect)boundingBox
{
return [self annotationsInProjectedRect:boundingBox createClusterAnnotations:NO withClusterSize:RMProjectedSizeMake(0.0, 0.0) findGravityCenter:NO];
}
- (NSArray *)annotationsInProjectedRect:(RMProjectedRect)boundingBox createClusterAnnotations:(BOOL)createClusterAnnotations withClusterSize:(RMProjectedSize)clusterSize findGravityCenter:(BOOL)findGravityCenter
{
NSMutableArray *annotations = [NSMutableArray array];
@synchronized (self) {
[rootNode addAnnotationsInBoundingBox:boundingBox toMutableArray:annotations createClusterAnnotations:createClusterAnnotations withClusterSize:clusterSize findGravityCenter:findGravityCenter];
}
return annotations;
}
@end