//
// 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, Loose Octree for storing any objects that can be described with AABB bounds
///
///
///
/// 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.
///
/// Loose: The octree's nodes can be larger than 1/2 their parent's length and width, so they overlap to some extent.
/// This can alleviate the problem of even tiny objects ending up in large nodes if they're near boundaries.
/// A looseness value of 1.0 will make it a "normal" octree.
///
/// Note: For loops are often used here since in some cases (e.g. the IsColliding method)
/// they actually give much better performance than using Foreach, even in the compiled build.
/// Using a LINQ expression is worse again than Foreach.
///
/// See also: PointOctree, where objects are stored as single points and some code can be simplified
///
/// The content of the octree can be anything, since the bounds data is supplied separately.
public partial class BoundsOctree
{
///
/// Root node of the octree
///
private Node _rootNode;
///
/// Should be a value between 1 and 2. A multiplier for the base size of a node.
///
///
/// 1.0 is a "normal" octree, while values > 1 have overlap
///
private readonly double _looseness;
///
/// 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 _rootNode.Bounds; }
}
///
/// Constructor for the bounds octree.
///
/// Size of the sides of the initial node, in metres. The octree will never shrink smaller than this.
/// Position of the center of the initial node.
/// Nodes will stop splitting if the new nodes would be smaller than this (metres).
/// Clamped between 1 and 2. Values > 1 let nodes overlap.
public BoundsOctree(double initialWorldSize, Point initialWorldPos, double minNodeSize, double loosenessVal)
{
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;
_looseness = MathExtensions.Clamp(loosenessVal, 1.0f, 2.0f);
_rootNode = new Node(_initialSize, _minSize, _looseness, initialWorldPos);
}
// #### PUBLIC METHODS ####
///
/// Add an object.
///
/// Object to add.
/// 3D bounding box around the object.
public void Add(T obj, BoundingBox objBounds)
{
// Add object or expand the octree until it can be added
int count = 0; // Safety check against infinite/excessive growth
while (!_rootNode.Add(obj, objBounds))
{
Grow(objBounds.Center - _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.
/// 3D bounding box around the object.
/// True if the object was removed successfully.
public bool Remove(T obj, BoundingBox objBounds)
{
bool removed = _rootNode.Remove(obj, objBounds);
// See if we can shrink the octree down now that we've removed the item
if (removed)
{
Count--;
Shrink();
}
return removed;
}
///
/// Check if the specified bounds intersect with anything in the tree. See also: GetColliding.
///
/// bounds to check.
/// True if there was a collision.
public bool IsColliding(BoundingBox checkBounds)
{
return _rootNode.IsColliding(ref checkBounds);
}
///
/// Check if the specified ray intersects with anything in the tree. See also: GetColliding.
///
/// ray to check.
/// distance to check.
/// True if there was a collision.
public bool IsColliding(Ray checkRay, double maxDistance)
{
return _rootNode.IsColliding(ref checkRay, maxDistance);
}
///
/// Returns an array of objects that intersect with the specified bounds, if any. Otherwise returns an empty array. See also: IsColliding.
///
/// list to store intersections.
/// bounds to check.
/// Objects that intersect with the specified bounds.
public void GetColliding(List collidingWith, BoundingBox checkBounds)
{
_rootNode.GetColliding(ref checkBounds, collidingWith);
}
///
/// Returns an array of objects that intersect with the specified ray, if any. Otherwise returns an empty array. See also: IsColliding.
///
/// list to store intersections.
/// ray to check.
/// distance to check.
/// Objects that intersect with the specified ray.
public void GetColliding(List collidingWith, Ray checkRay, double maxDistance = double.PositiveInfinity)
{
_rootNode.GetColliding(ref checkRay, collidingWith, maxDistance);
}
///
/// Returns an array of objects that intersect with the specified plane, if any. Otherwise returns an empty array.
///
/// list to store intersections.
/// plane to check.
/// distance to check.
/// Objects that intersect with the specified plane.
public void GetColliding(List collidingWith, Plane plane)
{
_rootNode.GetColliding(ref plane, collidingWith);
}
public void GetUncollided(Plane plane, bool positiveSide, List uncollided)
{
_rootNode.GetUncollided(ref plane, positiveSide, uncollided);
}
// #### 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.BaseLength / 2;
double newLength = _rootNode.BaseLength * 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, _looseness, 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.BaseLength,
_minSize,
_looseness,
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);
}
}
}