579 lines
24 KiB
C#
579 lines
24 KiB
C#
// MIT License - Copyright (C) The Mono.Xna Team
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// This file is subject to the terms and conditions defined in
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// file 'LICENSE.txt', which is part of this source code package.
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using System;
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using System.Diagnostics;
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namespace Microsoft.Xna.Framework
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{
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/// <summary>
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/// Defines a viewing frustum for intersection operations.
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/// </summary>
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[DebuggerDisplay("{DebugDisplayString,nq}")]
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public class BoundingFrustum : IEquatable<BoundingFrustum>
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{
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#region Private Fields
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private Matrix _matrix;
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private readonly Vector3[] _corners = new Vector3[CornerCount];
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private readonly Plane[] _planes = new Plane[PlaneCount];
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#endregion
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#region Public Fields
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/// <summary>
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/// The number of planes in the frustum.
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/// </summary>
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public const int PlaneCount = 6;
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/// <summary>
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/// The number of corner points in the frustum.
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/// </summary>
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public const int CornerCount = 8;
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#endregion
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#region Properties
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/// <summary>
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/// Gets or sets the <see cref="Matrix"/> of the frustum.
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/// </summary>
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public Matrix Matrix
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{
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get { return this._matrix; }
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set
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{
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this._matrix = value;
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this.CreatePlanes(); // FIXME: The odds are the planes will be used a lot more often than the matrix
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this.CreateCorners(); // is updated, so this should help performance. I hope ;)
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}
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}
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/// <summary>
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/// Gets the near plane of the frustum.
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/// </summary>
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public Plane Near
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{
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get { return this._planes[0]; }
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}
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/// <summary>
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/// Gets the far plane of the frustum.
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/// </summary>
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public Plane Far
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{
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get { return this._planes[1]; }
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}
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/// <summary>
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/// Gets the left plane of the frustum.
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/// </summary>
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public Plane Left
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{
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get { return this._planes[2]; }
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}
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/// <summary>
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/// Gets the right plane of the frustum.
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/// </summary>
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public Plane Right
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{
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get { return this._planes[3]; }
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}
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/// <summary>
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/// Gets the top plane of the frustum.
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/// </summary>
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public Plane Top
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{
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get { return this._planes[4]; }
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}
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/// <summary>
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/// Gets the bottom plane of the frustum.
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/// </summary>
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public Plane Bottom
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{
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get { return this._planes[5]; }
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}
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#endregion
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#region Internal Properties
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internal string DebugDisplayString
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{
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get
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{
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return string.Concat(
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"Near( ", this._planes[0].DebugDisplayString, " ) \r\n",
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"Far( ", this._planes[1].DebugDisplayString, " ) \r\n",
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"Left( ", this._planes[2].DebugDisplayString, " ) \r\n",
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"Right( ", this._planes[3].DebugDisplayString, " ) \r\n",
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"Top( ", this._planes[4].DebugDisplayString, " ) \r\n",
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"Bottom( ", this._planes[5].DebugDisplayString, " ) "
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);
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}
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}
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#endregion
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#region Constructors
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/// <summary>
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/// Constructs the frustum by extracting the view planes from a matrix.
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/// </summary>
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/// <param name="value">Combined matrix which usually is (View * Projection).</param>
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public BoundingFrustum(Matrix value)
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{
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this._matrix = value;
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this.CreatePlanes();
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this.CreateCorners();
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}
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#endregion
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#region Operators
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/// <summary>
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/// Compares whether two <see cref="BoundingFrustum"/> instances are equal.
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/// </summary>
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/// <param name="a"><see cref="BoundingFrustum"/> instance on the left of the equal sign.</param>
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/// <param name="b"><see cref="BoundingFrustum"/> instance on the right of the equal sign.</param>
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/// <returns><c>true</c> if the instances are equal; <c>false</c> otherwise.</returns>
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public static bool operator ==(BoundingFrustum a, BoundingFrustum b)
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{
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if (Equals(a, null))
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return (Equals(b, null));
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if (Equals(b, null))
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return (Equals(a, null));
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return a._matrix == (b._matrix);
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}
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/// <summary>
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/// Compares whether two <see cref="BoundingFrustum"/> instances are not equal.
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/// </summary>
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/// <param name="a"><see cref="BoundingFrustum"/> instance on the left of the not equal sign.</param>
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/// <param name="b"><see cref="BoundingFrustum"/> instance on the right of the not equal sign.</param>
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/// <returns><c>true</c> if the instances are not equal; <c>false</c> otherwise.</returns>
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public static bool operator !=(BoundingFrustum a, BoundingFrustum b)
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{
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return !(a == b);
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}
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#endregion
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#region Public Methods
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#region Contains
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingBox"/>.
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/// </summary>
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/// <param name="box">A <see cref="BoundingBox"/> for testing.</param>
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/// <returns>Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingBox"/>.</returns>
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public ContainmentType Contains(BoundingBox box)
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{
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var result = default(ContainmentType);
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this.Contains(ref box, out result);
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return result;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingBox"/>.
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/// </summary>
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/// <param name="box">A <see cref="BoundingBox"/> for testing.</param>
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/// <param name="result">Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingBox"/> as an output parameter.</param>
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public void Contains(ref BoundingBox box, out ContainmentType result)
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{
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var intersects = false;
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for (var i = 0; i < PlaneCount; ++i)
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{
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var planeIntersectionType = default(PlaneIntersectionType);
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box.Intersects(ref this._planes[i], out planeIntersectionType);
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switch (planeIntersectionType)
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{
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case PlaneIntersectionType.Front:
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result = ContainmentType.Disjoint;
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return;
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case PlaneIntersectionType.Intersecting:
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intersects = true;
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break;
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}
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}
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result = intersects ? ContainmentType.Intersects : ContainmentType.Contains;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="frustum">A <see cref="BoundingFrustum"/> for testing.</param>
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/// <returns>Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingFrustum"/>.</returns>
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public ContainmentType Contains(BoundingFrustum frustum)
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{
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if (this == frustum) // We check to see if the two frustums are equal
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return ContainmentType.Contains;// If they are, there's no need to go any further.
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var intersects = false;
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for (var i = 0; i < PlaneCount; ++i)
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{
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PlaneIntersectionType planeIntersectionType;
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frustum.Intersects(ref _planes[i], out planeIntersectionType);
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switch (planeIntersectionType)
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{
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case PlaneIntersectionType.Front:
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return ContainmentType.Disjoint;
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case PlaneIntersectionType.Intersecting:
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intersects = true;
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break;
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}
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}
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return intersects ? ContainmentType.Intersects : ContainmentType.Contains;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingSphere"/>.
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/// </summary>
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/// <param name="sphere">A <see cref="BoundingSphere"/> for testing.</param>
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/// <returns>Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingSphere"/>.</returns>
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public ContainmentType Contains(BoundingSphere sphere)
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{
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var result = default(ContainmentType);
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this.Contains(ref sphere, out result);
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return result;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingSphere"/>.
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/// </summary>
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/// <param name="sphere">A <see cref="BoundingSphere"/> for testing.</param>
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/// <param name="result">Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="BoundingSphere"/> as an output parameter.</param>
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public void Contains(ref BoundingSphere sphere, out ContainmentType result)
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{
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var intersects = false;
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for (var i = 0; i < PlaneCount; ++i)
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{
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var planeIntersectionType = default(PlaneIntersectionType);
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// TODO: we might want to inline this for performance reasons
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sphere.Intersects(ref this._planes[i], out planeIntersectionType);
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switch (planeIntersectionType)
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{
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case PlaneIntersectionType.Front:
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result = ContainmentType.Disjoint;
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return;
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case PlaneIntersectionType.Intersecting:
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intersects = true;
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break;
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}
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}
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result = intersects ? ContainmentType.Intersects : ContainmentType.Contains;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="Vector3"/>.
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/// </summary>
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/// <param name="point">A <see cref="Vector3"/> for testing.</param>
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/// <returns>Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="Vector3"/>.</returns>
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public ContainmentType Contains(Vector3 point)
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{
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var result = default(ContainmentType);
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this.Contains(ref point, out result);
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return result;
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}
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/// <summary>
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/// Containment test between this <see cref="BoundingFrustum"/> and specified <see cref="Vector3"/>.
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/// </summary>
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/// <param name="point">A <see cref="Vector3"/> for testing.</param>
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/// <param name="result">Result of testing for containment between this <see cref="BoundingFrustum"/> and specified <see cref="Vector3"/> as an output parameter.</param>
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public void Contains(ref Vector3 point, out ContainmentType result)
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{
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for (var i = 0; i < PlaneCount; ++i)
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{
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// TODO: we might want to inline this for performance reasons
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if (PlaneHelper.ClassifyPoint(ref point, ref this._planes[i]) > 0)
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{
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result = ContainmentType.Disjoint;
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return;
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}
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}
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result = ContainmentType.Contains;
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}
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#endregion
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/// <summary>
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/// Compares whether current instance is equal to specified <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="other">The <see cref="BoundingFrustum"/> to compare.</param>
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/// <returns><c>true</c> if the instances are equal; <c>false</c> otherwise.</returns>
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public bool Equals(BoundingFrustum other)
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{
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return (this == other);
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}
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/// <summary>
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/// Compares whether current instance is equal to specified <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="obj">The <see cref="Object"/> to compare.</param>
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/// <returns><c>true</c> if the instances are equal; <c>false</c> otherwise.</returns>
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public override bool Equals(object obj)
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{
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return (obj is BoundingFrustum) && this == ((BoundingFrustum)obj);
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}
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/// <summary>
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/// Returns a copy of internal corners array.
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/// </summary>
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/// <returns>The array of corners.</returns>
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public Vector3[] GetCorners()
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{
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return (Vector3[])this._corners.Clone();
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}
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/// <summary>
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/// Returns a copy of internal corners array.
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/// </summary>
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/// <param name="corners">The array which values will be replaced to corner values of this instance. It must have size of <see cref="BoundingFrustum.CornerCount"/>.</param>
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public void GetCorners(Vector3[] corners)
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{
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if (corners == null) throw new ArgumentNullException("corners");
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if (corners.Length < CornerCount) throw new ArgumentOutOfRangeException("corners");
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this._corners.CopyTo(corners, 0);
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}
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/// <summary>
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/// Gets the hash code of this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <returns>Hash code of this <see cref="BoundingFrustum"/>.</returns>
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public override int GetHashCode()
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{
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return this._matrix.GetHashCode();
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}
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/// <summary>
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/// Gets whether or not a specified <see cref="BoundingBox"/> intersects with this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="box">A <see cref="BoundingBox"/> for intersection test.</param>
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/// <returns><c>true</c> if specified <see cref="BoundingBox"/> intersects with this <see cref="BoundingFrustum"/>; <c>false</c> otherwise.</returns>
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public bool Intersects(BoundingBox box)
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{
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var result = false;
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this.Intersects(ref box, out result);
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return result;
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}
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/// <summary>
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/// Gets whether or not a specified <see cref="BoundingBox"/> intersects with this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="box">A <see cref="BoundingBox"/> for intersection test.</param>
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/// <param name="result"><c>true</c> if specified <see cref="BoundingBox"/> intersects with this <see cref="BoundingFrustum"/>; <c>false</c> otherwise as an output parameter.</param>
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public void Intersects(ref BoundingBox box, out bool result)
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{
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var containment = default(ContainmentType);
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this.Contains(ref box, out containment);
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result = containment != ContainmentType.Disjoint;
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}
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/// <summary>
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/// Gets whether or not a specified <see cref="BoundingFrustum"/> intersects with this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="frustum">An other <see cref="BoundingFrustum"/> for intersection test.</param>
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/// <returns><c>true</c> if other <see cref="BoundingFrustum"/> intersects with this <see cref="BoundingFrustum"/>; <c>false</c> otherwise.</returns>
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public bool Intersects(BoundingFrustum frustum)
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{
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return Contains(frustum) != ContainmentType.Disjoint;
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}
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/// <summary>
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/// Gets whether or not a specified <see cref="BoundingSphere"/> intersects with this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="sphere">A <see cref="BoundingSphere"/> for intersection test.</param>
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/// <returns><c>true</c> if specified <see cref="BoundingSphere"/> intersects with this <see cref="BoundingFrustum"/>; <c>false</c> otherwise.</returns>
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public bool Intersects(BoundingSphere sphere)
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{
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var result = default(bool);
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this.Intersects(ref sphere, out result);
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return result;
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}
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/// <summary>
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/// Gets whether or not a specified <see cref="BoundingSphere"/> intersects with this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="sphere">A <see cref="BoundingSphere"/> for intersection test.</param>
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/// <param name="result"><c>true</c> if specified <see cref="BoundingSphere"/> intersects with this <see cref="BoundingFrustum"/>; <c>false</c> otherwise as an output parameter.</param>
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public void Intersects(ref BoundingSphere sphere, out bool result)
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{
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var containment = default(ContainmentType);
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this.Contains(ref sphere, out containment);
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result = containment != ContainmentType.Disjoint;
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}
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/// <summary>
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/// Gets type of intersection between specified <see cref="Plane"/> and this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="plane">A <see cref="Plane"/> for intersection test.</param>
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/// <returns>A plane intersection type.</returns>
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public PlaneIntersectionType Intersects(Plane plane)
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{
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PlaneIntersectionType result;
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Intersects(ref plane, out result);
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return result;
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}
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/// <summary>
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/// Gets type of intersection between specified <see cref="Plane"/> and this <see cref="BoundingFrustum"/>.
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/// </summary>
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/// <param name="plane">A <see cref="Plane"/> for intersection test.</param>
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/// <param name="result">A plane intersection type as an output parameter.</param>
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public void Intersects(ref Plane plane, out PlaneIntersectionType result)
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{
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result = plane.Intersects(ref _corners[0]);
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for (int i = 1; i < _corners.Length; i++)
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if (plane.Intersects(ref _corners[i]) != result)
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result = PlaneIntersectionType.Intersecting;
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}
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/// <summary>
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/// Gets the distance of intersection of <see cref="Ray"/> and this <see cref="BoundingFrustum"/> or null if no intersection happens.
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/// </summary>
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/// <param name="ray">A <see cref="Ray"/> for intersection test.</param>
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/// <returns>Distance at which ray intersects with this <see cref="BoundingFrustum"/> or null if no intersection happens.</returns>
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public float? Intersects(Ray ray)
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{
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float? result;
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Intersects(ref ray, out result);
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return result;
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}
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/// <summary>
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/// Gets the distance of intersection of <see cref="Ray"/> and this <see cref="BoundingFrustum"/> or null if no intersection happens.
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/// </summary>
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/// <param name="ray">A <see cref="Ray"/> for intersection test.</param>
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/// <param name="result">Distance at which ray intersects with this <see cref="BoundingFrustum"/> or null if no intersection happens as an output parameter.</param>
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public void Intersects(ref Ray ray, out float? result)
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{
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ContainmentType ctype;
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this.Contains(ref ray.Position, out ctype);
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switch (ctype)
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{
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case ContainmentType.Disjoint:
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result = null;
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return;
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case ContainmentType.Contains:
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result = 0.0f;
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return;
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case ContainmentType.Intersects:
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throw new NotImplementedException();
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default:
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throw new ArgumentOutOfRangeException();
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}
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}
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/// <summary>
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/// Returns a <see cref="String"/> representation of this <see cref="BoundingFrustum"/> in the format:
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/// {Near:[nearPlane] Far:[farPlane] Left:[leftPlane] Right:[rightPlane] Top:[topPlane] Bottom:[bottomPlane]}
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/// </summary>
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/// <returns><see cref="String"/> representation of this <see cref="BoundingFrustum"/>.</returns>
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public override string ToString()
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{
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return "{Near: " + this._planes[0] +
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" Far:" + this._planes[1] +
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" Left:" + this._planes[2] +
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" Right:" + this._planes[3] +
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" Top:" + this._planes[4] +
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" Bottom:" + this._planes[5] +
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"}";
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}
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#endregion
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#region Private Methods
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private void CreateCorners()
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{
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IntersectionPoint(ref this._planes[0], ref this._planes[2], ref this._planes[4], out this._corners[0]);
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IntersectionPoint(ref this._planes[0], ref this._planes[3], ref this._planes[4], out this._corners[1]);
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IntersectionPoint(ref this._planes[0], ref this._planes[3], ref this._planes[5], out this._corners[2]);
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IntersectionPoint(ref this._planes[0], ref this._planes[2], ref this._planes[5], out this._corners[3]);
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IntersectionPoint(ref this._planes[1], ref this._planes[2], ref this._planes[4], out this._corners[4]);
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IntersectionPoint(ref this._planes[1], ref this._planes[3], ref this._planes[4], out this._corners[5]);
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IntersectionPoint(ref this._planes[1], ref this._planes[3], ref this._planes[5], out this._corners[6]);
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IntersectionPoint(ref this._planes[1], ref this._planes[2], ref this._planes[5], out this._corners[7]);
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}
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private void CreatePlanes()
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{
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this._planes[0] = new Plane(-this._matrix.M13, -this._matrix.M23, -this._matrix.M33, -this._matrix.M43);
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this._planes[1] = new Plane(this._matrix.M13 - this._matrix.M14, this._matrix.M23 - this._matrix.M24, this._matrix.M33 - this._matrix.M34, this._matrix.M43 - this._matrix.M44);
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this._planes[2] = new Plane(-this._matrix.M14 - this._matrix.M11, -this._matrix.M24 - this._matrix.M21, -this._matrix.M34 - this._matrix.M31, -this._matrix.M44 - this._matrix.M41);
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this._planes[3] = new Plane(this._matrix.M11 - this._matrix.M14, this._matrix.M21 - this._matrix.M24, this._matrix.M31 - this._matrix.M34, this._matrix.M41 - this._matrix.M44);
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this._planes[4] = new Plane(this._matrix.M12 - this._matrix.M14, this._matrix.M22 - this._matrix.M24, this._matrix.M32 - this._matrix.M34, this._matrix.M42 - this._matrix.M44);
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|
this._planes[5] = new Plane(-this._matrix.M14 - this._matrix.M12, -this._matrix.M24 - this._matrix.M22, -this._matrix.M34 - this._matrix.M32, -this._matrix.M44 - this._matrix.M42);
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|
|
|
this.NormalizePlane(ref this._planes[0]);
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|
this.NormalizePlane(ref this._planes[1]);
|
|
this.NormalizePlane(ref this._planes[2]);
|
|
this.NormalizePlane(ref this._planes[3]);
|
|
this.NormalizePlane(ref this._planes[4]);
|
|
this.NormalizePlane(ref this._planes[5]);
|
|
}
|
|
|
|
private static void IntersectionPoint(ref Plane a, ref Plane b, ref Plane c, out Vector3 result)
|
|
{
|
|
// Formula used
|
|
// d1 ( N2 * N3 ) + d2 ( N3 * N1 ) + d3 ( N1 * N2 )
|
|
//P = -------------------------------------------------------------------------
|
|
// N1 . ( N2 * N3 )
|
|
//
|
|
// Note: N refers to the normal, d refers to the displacement. '.' means dot product. '*' means cross product
|
|
|
|
Vector3 v1, v2, v3;
|
|
Vector3 cross;
|
|
|
|
Vector3.Cross(ref b.Normal, ref c.Normal, out cross);
|
|
|
|
float f;
|
|
Vector3.Dot(ref a.Normal, ref cross, out f);
|
|
f *= -1.0f;
|
|
|
|
Vector3.Cross(ref b.Normal, ref c.Normal, out cross);
|
|
Vector3.Multiply(ref cross, a.D, out v1);
|
|
//v1 = (a.D * (Vector3.Cross(b.Normal, c.Normal)));
|
|
|
|
|
|
Vector3.Cross(ref c.Normal, ref a.Normal, out cross);
|
|
Vector3.Multiply(ref cross, b.D, out v2);
|
|
//v2 = (b.D * (Vector3.Cross(c.Normal, a.Normal)));
|
|
|
|
|
|
Vector3.Cross(ref a.Normal, ref b.Normal, out cross);
|
|
Vector3.Multiply(ref cross, c.D, out v3);
|
|
//v3 = (c.D * (Vector3.Cross(a.Normal, b.Normal)));
|
|
|
|
result.X = (v1.X + v2.X + v3.X) / f;
|
|
result.Y = (v1.Y + v2.Y + v3.Y) / f;
|
|
result.Z = (v1.Z + v2.Z + v3.Z) / f;
|
|
}
|
|
|
|
private void NormalizePlane(ref Plane p)
|
|
{
|
|
float factor = 1f / p.Normal.Length();
|
|
p.Normal.X *= factor;
|
|
p.Normal.Y *= factor;
|
|
p.Normal.Z *= factor;
|
|
p.D *= factor;
|
|
}
|
|
|
|
#endregion
|
|
}
|
|
}
|
|
|