/// <summary>
/// Returns all intervals that overlaps with this interval.
/// </summary>
private List <OneDimentionalInterval <T> > getOverlaps(RedBlackTreeNode <OneDimentionalInterval <T> > current,
OneDimentionalInterval <T> searchInterval, List <OneDimentionalInterval <T> > result = null)
{
if (result == null)
{
result = new List <OneDimentionalInterval <T> >();
}
if (current == null)
{
return(result);
}
if (doOverlap(current.Value, searchInterval))
{
result.Add(current.Value);
}
//if left max is greater than search start
//then the search interval can occur in left sub tree
if (current.Left != null &&
current.Left.Value.MaxEnd.CompareTo(searchInterval.Start) >= 0)
{
getOverlaps(current.Left, searchInterval, result);
}
//otherwise look in right subtree
getOverlaps(current.Right, searchInterval, result);
return(result);
}
/// <summary>
/// Does this interval a overlap with b.
/// </summary>
private bool doOverlap(OneDimentionalInterval <T> a, OneDimentionalInterval <T> b)
{
//lazy reset
a.MatchingEndIndex = -1;
b.MatchingEndIndex = -1;
for (var i = 0; i < a.End.Count; i++)
{
for (var j = 0; j < b.End.Count; j++)
{
//a.Start less than b.End and a.End greater than b.Start
if (a.Start.CompareTo(b.End[j]) > 0 || a.End[i].CompareTo(b.Start) < 0)
{
continue;
}
a.MatchingEndIndex = i;
b.MatchingEndIndex = j;
return(true);
}
}
return(false);
}
/// <summary>
/// Swap intervals so that start always appear before end.
/// </summary>
private void sortInterval(OneDimentionalInterval <T> value)
{
if (value.Start.CompareTo(value.End[0]) <= 0)
{
return;
}
var tmp = value.End[0];
value.End[0] = value.Start;
value.Start = tmp;
}
/// <summary>
/// Insert a new Interval.
/// </summary>
internal void Insert(OneDimentionalInterval <T> newInterval)
{
sortInterval(newInterval);
var existing = redBlackTree.FindNode(newInterval);
if (existing != null)
{
existing.Value.End.Add(newInterval.End[0]);
}
else
{
existing = redBlackTree.InsertAndReturnNode(newInterval).Item1;
}
updateMax(existing);
Count++;
}
/// <summary>
/// Delete this interval
/// </summary>
internal void Delete(OneDimentionalInterval <T> interval)
{
sortInterval(interval);
var existing = redBlackTree.FindNode(interval);
if (existing != null && existing.Value.End.Count > 1)
{
existing.Value.End.RemoveAt(existing.Value.End.Count - 1);
updateMax(existing);
}
else if (existing != null)
{
redBlackTree.Delete(interval);
updateMax(existing.Parent);
}
else
{
throw new Exception("Interval not found in this interval tree.");
}
Count--;
}
/// <summary>
/// Returns an interval that overlaps with this interval
/// </summary>
private OneDimentionalInterval <T> getOverlap(RedBlackTreeNode <OneDimentionalInterval <T> > current, OneDimentionalInterval <T> searchInterval)
{
while (true)
{
if (current == null)
{
return(null);
}
if (doOverlap(current.Value, searchInterval))
{
return(current.Value);
}
//if left max is greater than search start
//then the search interval can occur in left sub tree
if (current.Left != null && current.Left.Value.MaxEnd.CompareTo(searchInterval.Start) >= 0)
{
current = current.Left;
continue;
}
//otherwise look in right subtree
current = current.Right;
}
}
/// <summary>
/// Does any interval overlaps with this search interval.
/// </summary>
internal bool DoOverlap(OneDimentionalInterval <T> searchInterval)
{
sortInterval(searchInterval);
return(getOverlap(redBlackTree.Root, searchInterval) != null);
}
/// <summary>
/// Returns an interval in this tree that overlaps with this search interval.
/// </summary>
internal List <OneDimentionalInterval <T> > GetOverlaps(OneDimentionalInterval <T> searchInterval)
{
sortInterval(searchInterval);
return(getOverlaps(redBlackTree.Root, searchInterval));
}
public int CompareTo(OneDimentionalInterval <T> other)
{
return(comparer.Compare(Start, other.Start));
}