public static MapCluster RootClusterForAnnotations(List <MapPointAnnotation> initialAnnotations, double gamma, string clusterTitle, bool showSubtitle)
{
// KDTree
var boundaries = new MKMapRect(Single.PositiveInfinity, Single.PositiveInfinity, 0.0, 0.0);
foreach (var point in initialAnnotations.Select(annotation => annotation.MapPoint))
{
if (point.X < boundaries.Origin.X)
{
boundaries.Origin.X = point.X;
}
if (point.Y < boundaries.Origin.Y)
{
boundaries.Origin.Y = point.Y;
}
if (point.X > boundaries.Origin.X + boundaries.Size.Width)
{
boundaries.Size.Width = point.X - boundaries.Origin.X;
}
if (point.Y > boundaries.Origin.Y + boundaries.Size.Height)
{
boundaries.Size.Height = point.Y - boundaries.Origin.Y;
}
}
Console.WriteLine("Computing KD-tree...");
var cluster = new MapCluster(initialAnnotations, 0, boundaries, gamma, clusterTitle, showSubtitle);
Console.WriteLine("Computation done !");
return(cluster);
}
public ClusterAnnotation()
{
_cluster = null;
Coordinate = MapConstants.Offscreen;
Type = ClusterAnnotationType.Unknown;
ShouldBeRemovedAfterAnimation = false;
}
public bool IsAncestorOf(MapCluster mapCluster)
{
return(Depth < mapCluster.Depth && (_leftChild == mapCluster || _rightChild == mapCluster || _leftChild.IsAncestorOf(mapCluster) || _rightChild.IsAncestorOf(mapCluster)));
}
public MapCluster(List <MapPointAnnotation> annotations, int depth, MKMapRect mapRect, double gamma, string clusterTitle, bool showSubtitle)
{
Depth = depth;
_mapRect = mapRect;
_clusterTitle = clusterTitle;
ShowSubtitle = showSubtitle;
switch (annotations.Count)
{
case 0:
_leftChild = null;
_rightChild = null;
Annotation = null;
ClusterCoordinate = new CLLocationCoordinate2D(91, 181); // Todo: Invalid, instead of constant.
break;
case 1:
_leftChild = null;
_rightChild = null;
Annotation = annotations.Last();
ClusterCoordinate = Annotation.Annotation.Coordinate;
break;
default:
{
Annotation = null;
// Principal Component Analysis
// If cov(x,y) = ∑(x-x_mean) * (y-y_mean) != 0 (covariance different from zero), we are looking for the following principal vector:
// a (aX)
// (aY)
//
// x_ = x - x_mean ; y_ = y - y_mean
//
// aX = cov(x_,y_)
//
//
// aY = 0.5/n * ( ∑(x_^2) + ∑(y_^2) + sqrt( (∑(x_^2) + ∑(y_^2))^2 + 4 * cov(x_,y_)^2 ) )
// compute the means of the coordinate
var xSum = 0.0;
var ySum = 0.0;
foreach (var annotation in annotations)
{
xSum += annotation.MapPoint.X;
ySum += annotation.MapPoint.Y;
}
var xMean = xSum / annotations.Count;
var yMean = ySum / annotations.Count;
if (gamma != 1.0)
{
// take gamma weight into account
var gammaSumX = 0.0;
var gammaSumY = 0.0;
var maxDistance = 0.0;
var meanCenter = new MKMapPoint(xMean, yMean);
foreach (var annotation in annotations)
{
var distance = MKGeometry.MetersBetweenMapPoints(annotation.MapPoint, meanCenter);
if (distance > maxDistance)
{
maxDistance = distance;
}
}
var totalWeight = 0.0;
foreach (var annotation in annotations)
{
var point = annotation.MapPoint;
var distance = MKGeometry.MetersBetweenMapPoints(point, meanCenter);
var normalizedDistance = maxDistance != 0.0 ? distance / maxDistance : 1.0;
var weight = Math.Pow(normalizedDistance, gamma - 1.0);
gammaSumX += point.X * weight;
gammaSumY += point.Y * weight;
totalWeight += weight;
}
xMean = gammaSumX / totalWeight;
yMean = gammaSumY / totalWeight;
}
// compute coefficients
var sumXsquared = 0.0;
var sumYsquared = 0.0;
var sumXy = 0.0;
foreach (var annotation in annotations)
{
var x = annotation.MapPoint.X - xMean;
var y = annotation.MapPoint.Y - yMean;
sumXsquared += x * x;
sumYsquared += y * y;
sumXy += x * y;
}
double aX;
double aY;
if (Math.Abs(sumXy) / annotations.Count > MapConstants.ClusterDiscriminationPrecision)
{
aX = sumXy;
var lambda = 0.5 * ((sumXsquared + sumYsquared) + Math.Sqrt((sumXsquared + sumYsquared) * (sumXsquared + sumYsquared) + 4 * sumXy * sumXy));
aY = lambda - sumXsquared;
}
else
{
aX = sumXsquared > sumYsquared ? 1.0 : 0.0;
aY = sumXsquared > sumYsquared ? 0.0 : 1.0;
}
List <MapPointAnnotation> leftAnnotations;
List <MapPointAnnotation> rightAnnotations;
if (Math.Abs(sumXsquared) / annotations.Count < MapConstants.ClusterDiscriminationPrecision || Math.Abs(sumYsquared) / annotations.Count < MapConstants.ClusterDiscriminationPrecision)
{
// then every x equals XMean and we have to arbitrarily choose where to put the pivotIndex
var pivotIndex = annotations.Count / 2;
leftAnnotations = annotations.GetRange(0, pivotIndex);
rightAnnotations = annotations.GetRange(pivotIndex, annotations.Count - pivotIndex);
}
else
{
// compute scalar product between the vector of this regression line and the vector
// (x - x(mean))
// (y - y(mean))
// the sign of this scalar product determines which cluster the point belongs to
leftAnnotations = new List <MapPointAnnotation>();
rightAnnotations = new List <MapPointAnnotation>();
foreach (var annotation in annotations)
{
var point = annotation.MapPoint;
var positivityConditionOfScalarProduct = true;
// TODO: Don't know why this is here... its there in the original code. Or is it a wrong Objective-C interpretation?
if (true)
{
positivityConditionOfScalarProduct = (point.X - xMean) * aX + (point.Y - yMean) * aY > 0.0;
}
else
{
positivityConditionOfScalarProduct = (point.Y - yMean) > 0.0;
}
if (positivityConditionOfScalarProduct)
{
leftAnnotations.Add(annotation);
}
else
{
rightAnnotations.Add(annotation);
}
}
}
// compute map rects
double xMin = float.MaxValue, xMax = 0.0f, yMin = float.MaxValue, yMax = 0.0f;
foreach (var point in leftAnnotations.Select(annotation => annotation.MapPoint))
{
if (point.X > xMax)
{
xMax = point.X;
}
if (point.Y > yMax)
{
yMax = point.Y;
}
if (point.X < xMin)
{
xMin = point.X;
}
if (point.Y < yMin)
{
yMin = point.Y;
}
}
var leftMapRect = new MKMapRect(xMin, yMin, xMax - xMin, yMax - yMin);
xMin = float.MaxValue;
xMax = 0.0;
yMin = float.MaxValue;
yMax = 0.0;
foreach (var point in rightAnnotations.Select(annotation => annotation.MapPoint))
{
if (point.X > xMax)
{
xMax = point.X;
}
if (point.Y > yMax)
{
yMax = point.Y;
}
if (point.X < xMin)
{
xMin = point.X;
}
if (point.Y < yMin)
{
yMin = point.Y;
}
}
var rightMapRect = new MKMapRect(xMin, yMin, xMax - xMin, yMax - yMin);
ClusterCoordinate = MKMapPoint.ToCoordinate(new MKMapPoint(xMean, yMean));
_leftChild = new MapCluster(leftAnnotations, depth + 1, leftMapRect, gamma, clusterTitle, showSubtitle);
_rightChild = new MapCluster(rightAnnotations, depth + 1, rightMapRect, gamma, clusterTitle, showSubtitle);
}
break;
}
}
public void Reset()
{
Cluster = null;
Coordinate = MapConstants.Offscreen;
}
public void SetAnnotations(List <MKAnnotation> annotations)
{
if (!_isSettingAnnotations)
{
_originalAnnotations = annotations;
_isSettingAnnotations = true;
RemoveAnnotations(_clusterAnnotations.ToArray()); // TODO: Co-variant conversion
_singleAnnotationsPool = new List <ClusterAnnotation>();
_clusterAnnotationsPool = new List <ClusterAnnotation>();
int numberOfAnnotationsInPool = 2 * NumberOfClusters();
for (int i = 0; i < numberOfAnnotationsInPool; i++)
{
var annotation = new ClusterAnnotation {
Type = ClusterAnnotationType.Leaf
};
_singleAnnotationsPool.Add(annotation);
annotation = new ClusterAnnotation {
Type = ClusterAnnotationType.Cluster
};
_clusterAnnotationsPool.Add(annotation);
}
AddAnnotations(_singleAnnotationsPool.ToArray()); // TODO: Co-variant conversion
AddAnnotations(_clusterAnnotationsPool.ToArray()); // TODO: Co-variant conversion
var temp = _singleAnnotationsPool;
temp.AddRange(_clusterAnnotationsPool);
_clusterAnnotations = temp;
const double gamma = 1.0;
const string clusterTitle = "%d elements";
// TODO: Run async, like the original, performance optimizing
//await Task.Run(async () =>
//{
var mapPointAnnotations = new List <MapPointAnnotation>();
foreach (var annotation in annotations)
{
var mapPointAnnotation = new MapPointAnnotation(annotation);
mapPointAnnotations.Add(mapPointAnnotation);
}
const bool shouldShowSubtitle = true;
_rootMapCluster = MapCluster.RootClusterForAnnotations(mapPointAnnotations, gamma, clusterTitle, shouldShowSubtitle);
// TODO: When implementing async; run on main thread from here, uses interface objects.
ClusterInMapRect(VisibleMapRect);
_isSettingAnnotations = false;
if (_annotationsToBeSet != null)
{
var newAnnotations = _annotationsToBeSet;
_annotationsToBeSet = null;
SetAnnotations(newAnnotations);
}
//});
}
else
{
_annotationsToBeSet = annotations;
}
}
