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using System; |
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using System.Collections.Generic; |
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|
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namespace Oni.Akira |
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{ |
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internal class OctreeNode |
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{ |
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public const int FaceCount = 6; |
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public const int ChildCount = 8; |
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|
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private const float MinNodeSize = 16.0f; |
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private const int MaxQuadsPerLeaf = 4096; |
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private const int MaxRoomsPerLeaf = 255; |
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|
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#region Private data |
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private int index; |
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private BoundingBox bbox; |
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private Polygon[] polygons; |
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private OctreeNode[] children; |
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private OctreeNode[] adjacency = new OctreeNode[FaceCount]; |
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private Room[] rooms; |
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#endregion |
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|
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#region public enum Axis |
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|
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public enum Axis |
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{ |
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Z, |
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Y, |
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X |
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} |
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|
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#endregion |
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#region public enum Direction |
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|
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public enum Direction |
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{ |
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Negative, |
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Positive |
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} |
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|
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#endregion |
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#region public struct Face |
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|
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public struct Face |
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{ |
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private readonly int index; |
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|
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public Face(int index) |
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{ |
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this.index = index; |
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} |
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|
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public int Index => index; |
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public Axis Axis => (Axis)(2 - ((index & 6) >> 1)); |
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public Direction Direction => (Direction)(index & 1); |
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|
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public static IEnumerable<Face> All |
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{ |
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get |
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{ |
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for (int i = 0; i < FaceCount; i++) |
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yield return new Face(i); |
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} |
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} |
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} |
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|
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#endregion |
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#region public struct ChildPosition |
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|
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public struct ChildPosition |
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{ |
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private int index; |
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|
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public ChildPosition(int index) |
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{ |
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this.index = index; |
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} |
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|
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public int Index => index; |
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|
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public int X => this[Axis.X]; |
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public int Y => this[Axis.Y]; |
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public int Z => this[Axis.Z]; |
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|
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public int this[Axis axis] |
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{ |
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get |
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{ |
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return ((index >> (int)axis) & 1); |
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} |
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set |
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{ |
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int mask = (1 << (int)axis); |
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|
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if (value == 0) |
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index &= ~mask; |
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else |
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index |= mask; |
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} |
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} |
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|
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public static IEnumerable<ChildPosition> All |
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{ |
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get |
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{ |
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for (int i = 0; i < 8; i++) |
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yield return new ChildPosition(i); |
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} |
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} |
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} |
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|
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#endregion |
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|
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public OctreeNode(BoundingBox bbox, IEnumerable<Polygon> polygons, IEnumerable<Room> rooms) |
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{ |
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this.bbox = bbox; |
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this.polygons = polygons.ToArray(); |
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this.rooms = rooms.ToArray(); |
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} |
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|
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private OctreeNode(BoundingBox bbox, Polygon[] polygons, Room[] rooms) |
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{ |
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this.bbox = bbox; |
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this.polygons = polygons; |
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this.rooms = rooms; |
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} |
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|
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public int Index |
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{ |
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get { return index; } |
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set { index = value; } |
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} |
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|
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public BoundingBox BoundingBox => bbox; |
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public OctreeNode[] Children => children; |
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public OctreeNode[] Adjacency => adjacency; |
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public bool IsLeaf => polygons != null; |
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public ICollection<Polygon> Polygons => polygons; |
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public ICollection<Room> Rooms => rooms; |
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private Vector3 Center => (bbox.Min + bbox.Max) * 0.5f; |
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private float Size => bbox.Max.X - bbox.Min.X; |
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|
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public void Build() |
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{ |
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BuildRecursive(); |
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|
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// |
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// Force a split of the root node because the root cannot be a leaf. |
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// |
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|
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if (children == null) |
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Split(); |
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} |
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|
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private void BuildRecursive() |
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{ |
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if ((polygons == null || polygons.Length <= 19) && (rooms == null || rooms.Length < 16)) |
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{ |
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return; |
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} |
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|
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if (Size <= MinNodeSize) |
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{ |
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if (polygons.Length > MaxQuadsPerLeaf) |
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throw new NotSupportedException(string.Format("Octtree: Quad density too big: current {0} max 4096 bbox {1}", polygons.Length, BoundingBox)); |
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|
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if (rooms.Length > MaxRoomsPerLeaf) |
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throw new NotSupportedException(string.Format("Octtree: Room density too big: current {0} max 255 bbox {1}", rooms.Length, BoundingBox)); |
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|
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return; |
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} |
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|
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Split(); |
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} |
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|
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private void Split() |
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{ |
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children = SplitCore(); |
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polygons = null; |
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rooms = null; |
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|
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BuildSimpleAdjaceny(); |
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|
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foreach (var child in children) |
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child.BuildRecursive(); |
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} |
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|
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private OctreeNode[] SplitCore() |
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{ |
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var children = new OctreeNode[ChildCount]; |
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var center = Center; |
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var childPolygons = new List<Polygon>(polygons.Length); |
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var childRooms = new List<Room>(rooms.Length); |
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|
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foreach (var position in ChildPosition.All) |
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{ |
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var childNodeBBox = new BoundingBox(center, center); |
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|
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if (position.X == 0) |
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childNodeBBox.Min.X = bbox.Min.X; |
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else |
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childNodeBBox.Max.X = bbox.Max.X; |
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|
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if (position.Y == 0) |
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childNodeBBox.Min.Y = bbox.Min.Y; |
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else |
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childNodeBBox.Max.Y = bbox.Max.Y; |
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|
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if (position.Z == 0) |
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childNodeBBox.Min.Z = bbox.Min.Z; |
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else |
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childNodeBBox.Max.Z = bbox.Max.Z; |
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|
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childPolygons.Clear(); |
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childRooms.Clear(); |
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|
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var boxIntersector = new PolygonBoxIntersector(ref childNodeBBox); |
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|
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foreach (var polygon in polygons) |
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{ |
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if (boxIntersector.Intersects(polygon)) |
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childPolygons.Add(polygon); |
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} |
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|
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foreach (var room in rooms) |
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{ |
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if (room.Intersect(childNodeBBox)) |
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childRooms.Add(room); |
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} |
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|
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children[position.Index] = new OctreeNode(childNodeBBox, childPolygons.ToArray(), childRooms.ToArray()); |
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} |
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|
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return children; |
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} |
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|
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private void BuildSimpleAdjaceny() |
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{ |
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foreach (ChildPosition position in ChildPosition.All) |
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{ |
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var child = children[position.Index]; |
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|
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foreach (var face in Face.All) |
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child.Adjacency[face.Index] = GetChildAdjacency(position, face); |
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} |
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} |
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|
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private OctreeNode GetChildAdjacency(ChildPosition position, Face face) |
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{ |
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if (face.Direction == Direction.Positive) |
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{ |
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if (position[face.Axis] == 0) |
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{ |
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position[face.Axis] = 1; |
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return children[position.Index]; |
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} |
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} |
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else |
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{ |
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if (position[face.Axis] == 1) |
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{ |
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position[face.Axis] = 0; |
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return children[position.Index]; |
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} |
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} |
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|
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return adjacency[face.Index]; |
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} |
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|
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public void RefineAdjacency() |
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{ |
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Vector3 center = Center; |
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float size = Size; |
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|
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foreach (var face in Face.All) |
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{ |
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var node = adjacency[face.Index]; |
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|
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if (node != null && !node.IsLeaf && node.Size > Size) |
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{ |
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Vector3 adjacentCenter = MovePoint(center, face, size); |
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adjacency[face.Index] = node.FindLargestOrEqual(adjacentCenter, size); |
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} |
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} |
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} |
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|
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public QuadtreeNode BuildFaceQuadTree(Face face) |
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{ |
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Vector3 faceCenter = MovePoint(Center, face, Size * 0.5f); |
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var quadTreeNode = new QuadtreeNode(faceCenter, Size, face); |
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quadTreeNode.Build(adjacency[face.Index]); |
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return quadTreeNode; |
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} |
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|
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public void DfsTraversal(Action<OctreeNode> action) |
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{ |
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action(this); |
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|
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if (!IsLeaf) |
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{ |
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foreach (var child in children) |
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child.DfsTraversal(action); |
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} |
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} |
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|
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public static Vector3 MovePoint(Vector3 point, Face face, float delta) |
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{ |
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if (face.Direction == Direction.Negative) |
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delta = -delta; |
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|
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if (face.Axis == Axis.X) |
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point.X += delta; |
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else if (face.Axis == Axis.Y) |
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point.Y += delta; |
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else |
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point.Z += delta; |
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|
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return point; |
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} |
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|
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private struct TriangleBoxIntersector |
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{ |
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private Vector3 center; |
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private Vector3 size; |
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private Vector3[] triangle; |
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private Vector3 edge; |
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|
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public TriangleBoxIntersector(ref BoundingBox box) |
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{ |
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center = (box.Min + box.Max) * 0.5f; |
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size = (box.Max - box.Min) * 0.5f; |
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|
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triangle = new Vector3[3]; |
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edge = Vector3.Zero; |
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} |
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|
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public Vector3[] Triangle => triangle; |
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|
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public bool Intersect() |
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{ |
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for (int i = 0; i < triangle.Length; i++) |
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triangle[i] -= center; |
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|
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edge = triangle[1] - triangle[0]; |
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|
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if (AxisTest(Y, Z, 0, 2) || AxisTest(Z, X, 0, 2) || AxisTest(X, Y, 2, 1)) |
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return false; |
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|
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edge = triangle[2] - triangle[1]; |
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|
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if (AxisTest(Y, Z, 0, 2) || AxisTest(Z, X, 0, 2) || AxisTest(X, Y, 0, 1)) |
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return false; |
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|
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edge = triangle[0] - triangle[2]; |
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|
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if (AxisTest(Y, Z, 0, 1) || AxisTest(Z, X, 0, 1) || AxisTest(X, Y, 2, 1)) |
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return false; |
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|
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return true; |
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} |
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|
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private const int X = 0; |
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private const int Y = 1; |
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private const int Z = 2; |
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|
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private bool AxisTest(int a1, int a2, int p0, int p1) |
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{ |
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Vector3 v0 = triangle[p0]; |
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Vector3 v1 = triangle[p1]; |
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float e1 = edge[a1]; |
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float e2 = edge[a2]; |
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|
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float c0 = e2 * v0[a1] - e1 * v0[a2]; |
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float c1 = e2 * v1[a1] - e1 * v1[a2]; |
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float rad = Math.Abs(e2) * size[a1] + Math.Abs(e1) * size[a2]; |
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|
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return (c0 < c1) ? (c0 > rad || c1 < -rad) : (c1 > rad || c0 < -rad); |
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} |
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} |
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|
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private struct PolygonBoxIntersector |
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{ |
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private BoundingBox bbox; |
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private TriangleBoxIntersector triangleBoxIntersector; |
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|
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public PolygonBoxIntersector(ref BoundingBox bbox) |
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{ |
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this.bbox = bbox; |
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this.triangleBoxIntersector = new TriangleBoxIntersector(ref bbox); |
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} |
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|
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public bool Intersects(Polygon polygon) |
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{ |
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if (!bbox.Intersects(polygon.BoundingBox)) |
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return false; |
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|
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if (!bbox.Intersects(polygon.Plane)) |
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return false; |
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|
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var intersector = new TriangleBoxIntersector(ref bbox); |
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var points = polygon.Mesh.Points; |
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var indices = polygon.PointIndices; |
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|
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intersector.Triangle[0] = points[indices[0]]; |
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intersector.Triangle[1] = points[indices[1]]; |
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intersector.Triangle[2] = points[indices[2]]; |
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|
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if (intersector.Intersect()) |
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return true; |
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|
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if (indices.Length > 3) |
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{ |
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intersector.Triangle[0] = points[indices[2]]; |
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intersector.Triangle[1] = points[indices[3]]; |
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intersector.Triangle[2] = points[indices[0]]; |
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|
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if (intersector.Intersect()) |
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return true; |
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} |
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|
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return false; |
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} |
| 424 |
} |
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|
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public OctreeNode FindLargestOrEqual(Vector3 point, float largestSize) |
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{ |
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var node = this; |
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|
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while (!node.IsLeaf && node.Size > largestSize) |
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{ |
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Vector3 center = node.Center; |
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|
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int nx = (point.X < center.X) ? 0 : 4; |
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int ny = (point.Y < center.Y) ? 0 : 2; |
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int nz = (point.Z < center.Z) ? 0 : 1; |
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|
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var childNode = node.children[nx + ny + nz]; |
| 439 |
|
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if (childNode.Size < largestSize) |
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break; |
| 442 |
|
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node = childNode; |
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} |
| 445 |
|
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return node; |
| 447 |
} |
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|
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public OctreeNode FindLeaf(Vector3 point) |
| 450 |
{ |
| 451 |
if (!bbox.Contains(point)) |
| 452 |
return null; |
| 453 |
|
| 454 |
if (children == null) |
| 455 |
return this; |
| 456 |
|
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Vector3 center = Center; |
| 458 |
|
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int nx = (point.X < center.X) ? 0 : 4; |
| 460 |
int ny = (point.Y < center.Y) ? 0 : 2; |
| 461 |
int nz = (point.Z < center.Z) ? 0 : 1; |
| 462 |
|
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OctreeNode childNode = children[nx + ny + nz]; |
| 464 |
|
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return childNode.FindLeaf(point); |
| 466 |
} |
| 467 |
|
| 468 |
public IEnumerable<OctreeNode> FindLeafs(BoundingBox box) |
| 469 |
{ |
| 470 |
var stack = new Stack<OctreeNode>(); |
| 471 |
stack.Push(this); |
| 472 |
|
| 473 |
while (stack.Count > 0) |
| 474 |
{ |
| 475 |
var node = stack.Pop(); |
| 476 |
|
| 477 |
if (node.bbox.Intersects(box)) |
| 478 |
{ |
| 479 |
if (node.children != null) |
| 480 |
{ |
| 481 |
foreach (OctreeNode child in node.children) |
| 482 |
stack.Push(child); |
| 483 |
} |
| 484 |
else |
| 485 |
{ |
| 486 |
yield return node; |
| 487 |
} |
| 488 |
} |
| 489 |
} |
| 490 |
} |
| 491 |
} |
| 492 |
} |