// // Distributed under the BSD Licence (see LICENCE file). // // Copyright (c) 2014, Nition, http://www.momentstudio.co.nz/ // Copyright (c) 2017, Máté Cserép, http://codenet.hu // All rights reserved. // namespace Octree { using System.Collections.Generic; /// /// A Dynamic Octree for storing any objects that can be described as a single point /// /// /// /// Octree: An octree is a tree data structure which divides 3D space into smaller partitions (nodes) /// and places objects into the appropriate nodes. This allows fast access to objects /// in an area of interest without having to check every object. /// /// Dynamic: The octree grows or shrinks as required when objects as added or removed. /// It also splits and merges nodes as appropriate. There is no maximum depth. /// Nodes have a constant - - which sets the amount of items allowed in a node before it splits. /// /// See also BoundsOctree, where objects are described by AABB bounds. /// /// The content of the octree can be anything, since the bounds data is supplied separately. public partial class PointOctree { /// /// Root node of the octree /// private Node _rootNode; /// /// Size that the octree was on creation /// private readonly double _initialSize; /// /// Minimum side length that a node can be - essentially an alternative to having a max depth /// private readonly double _minSize; /// /// The total amount of objects currently in the tree /// public int Count { get; private set; } /// /// Gets the bounding box that represents the whole octree /// /// The bounding box of the root node. public BoundingBox MaxBounds { get { return new BoundingBox(_rootNode.Center, new Point(_rootNode.SideLength, _rootNode.SideLength, _rootNode.SideLength)); } } /// /// Constructor for the point octree. /// /// Size of the sides of the initial node. The octree will never shrink smaller than this. /// Position of the centre of the initial node. /// Nodes will stop splitting if the new nodes would be smaller than this. public PointOctree(double initialWorldSize, Point initialWorldPos, double minNodeSize) { if (minNodeSize > initialWorldSize) { System.Diagnostics.Debug.WriteLine( "Minimum node size must be at least as big as the initial world size. Was: " + minNodeSize + " Adjusted to: " + initialWorldSize); minNodeSize = initialWorldSize; } Count = 0; _initialSize = initialWorldSize; _minSize = minNodeSize; _rootNode = new Node(_initialSize, _minSize, initialWorldPos); } // #### PUBLIC METHODS #### /// /// Add an object. /// /// Object to add. /// Position of the object. public void Add(T obj, Point objPos) { // Add object or expand the octree until it can be added int count = 0; // Safety check against infinite/excessive growth while (!_rootNode.Add(obj, objPos)) { Grow(objPos - _rootNode.Center); if (++count > 20) { throw new System.Exception( "Aborted Add operation as it seemed to be going on forever (" + (count - 1) + ") attempts at growing the octree."); } } Count++; } /// /// Remove an object. Makes the assumption that the object only exists once in the tree. /// /// Object to remove. /// True if the object was removed successfully. public bool Remove(T obj) { bool removed = _rootNode.Remove(obj); // See if we can shrink the octree down now that we've removed the item if (removed) { Count--; Shrink(); } return removed; } /// /// Removes the specified object at the given position. Makes the assumption that the object only exists once in the tree. /// /// Object to remove. /// Position of the object. /// True if the object was removed successfully. public bool Remove(T obj, Point objPos) { bool removed = _rootNode.Remove(obj, objPos); // See if we can shrink the octree down now that we've removed the item if (removed) { Count--; Shrink(); } return removed; } /// /// Returns objects that are within of the specified ray. /// If none, returns an empty array (not null). /// /// The ray. Passing as ref to improve performance since it won't have to be copied. /// Maximum distance from the ray to consider. /// Objects within range. public T[] GetNearby(Ray ray, double maxDistance) { List collidingWith = new List(); _rootNode.GetNearby(ref ray, maxDistance, collidingWith); return collidingWith.ToArray(); } /// /// Returns objects that are within of the specified position. /// If none, returns an empty array (not null). /// /// The position. Passing as ref to improve performance since it won't have to be copied. /// Maximum distance from the position to consider. /// Objects within range. public T[] GetNearby(Point position, double maxDistance) { List collidingWith = new List(); _rootNode.GetNearby(ref position, maxDistance, collidingWith); return collidingWith.ToArray(); } /// /// Return objects that are within of the specified position. /// /// The position. /// Maximum distance from the position to consider. /// List result. /// Objects within range. public void GetObjectsSplitByPlane(ref Plane plane, List front, List onPlane, List back) { _rootNode.GetObjectsSplitByPlane(ref plane, front, onPlane, back); } /// /// Returns all objects in the tree. /// If none, returns an empty array (not null). /// /// All objects. public ICollection GetAll() { List objects = new List(Count); _rootNode.GetAll(objects); return objects; } // #### PRIVATE METHODS #### /// /// Grow the octree to fit in all objects. /// /// Direction to grow. private void Grow(Point direction) { int xDirection = direction.X >= 0 ? 1 : -1; int yDirection = direction.Y >= 0 ? 1 : -1; int zDirection = direction.Z >= 0 ? 1 : -1; Node oldRoot = _rootNode; double half = _rootNode.SideLength / 2; double newLength = _rootNode.SideLength * 2; Point newCenter = _rootNode.Center + new Point(xDirection * half, yDirection * half, zDirection * half); // Create a new, bigger octree root node _rootNode = new Node(newLength, _minSize, newCenter); if (oldRoot.HasAnyObjects()) { // Create 7 new octree children to go with the old root as children of the new root int rootPos = _rootNode.BestFitChild(oldRoot.Center); Node[] children = new Node[8]; for (int i = 0; i < 8; i++) { if (i == rootPos) { children[i] = oldRoot; } else { xDirection = i % 2 == 0 ? -1 : 1; yDirection = i > 3 ? -1 : 1; zDirection = (i < 2 || (i > 3 && i < 6)) ? -1 : 1; children[i] = new Node( oldRoot.SideLength, _minSize, newCenter + new Point(xDirection * half, yDirection * half, zDirection * half)); } } // Attach the new children to the new root node _rootNode.SetChildren(children); } } /// /// Shrink the octree if possible, else leave it the same. /// private void Shrink() { _rootNode = _rootNode.ShrinkIfPossible(_initialSize); } } }