467 lines
20 KiB
C#
467 lines
20 KiB
C#
// Copyright (c) Xenko contributors (https://xenko.com) and Silicon Studio Corp. (https://www.siliconstudio.co.jp)
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// Distributed under the MIT license. See the LICENSE.md file in the project root for more information.
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//
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// -----------------------------------------------------------------------------
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// Original code from SlimMath project. http://code.google.com/p/slimmath/
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// Greetings to SlimDX Group. Original code published with the following license:
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// -----------------------------------------------------------------------------
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/*
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* Copyright (c) 2007-2011 SlimDX Group
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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using System;
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using System.Globalization;
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using System.Runtime.InteropServices;
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using System.Runtime.Serialization;
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namespace math
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{
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/// <summary>
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/// Represents an axis-aligned bounding box in three dimensional space.
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/// </summary>
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[DataContract]
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[StructLayout(LayoutKind.Sequential, Pack = 4)]
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public struct BoundingBox : IEquatable<BoundingBox>, IFormattable
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{
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/// <summary>
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/// A <see cref="BoundingBox"/> which represents an empty space.
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/// </summary>
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public static readonly BoundingBox Empty = new BoundingBox(new Vector3(float.MaxValue), new Vector3(float.MinValue));
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/// <summary>
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/// The minimum point of the box.
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/// </summary>
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public Vector3 Minimum;
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/// <summary>
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/// The maximum point of the box.
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/// </summary>
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public Vector3 Maximum;
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/// <summary>
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/// Initializes a new instance of the <see cref="math.BoundingBox"/> struct.
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/// </summary>
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/// <param name="minimum">The minimum vertex of the bounding box.</param>
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/// <param name="maximum">The maximum vertex of the bounding box.</param>
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public BoundingBox(Vector3 minimum, Vector3 maximum)
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{
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this.Minimum = minimum;
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this.Maximum = maximum;
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}
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/// <summary>
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/// Gets the center of this bouding box.
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/// </summary>
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public Vector3 Center
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{
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get { return (Minimum + Maximum) / 2; }
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}
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/// <summary>
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/// Gets the extent of this bouding box.
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/// </summary>
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public Vector3 Extent
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{
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get { return (Maximum - Minimum) / 2; }
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}
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/// <summary>
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/// Retrieves the eight corners of the bounding box.
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/// </summary>
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/// <returns>An array of points representing the eight corners of the bounding box.</returns>
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public Vector3[] GetCorners()
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{
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Vector3[] results = new Vector3[8];
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results[0] = new Vector3(Minimum.X, Maximum.Y, Maximum.Z);
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results[1] = new Vector3(Maximum.X, Maximum.Y, Maximum.Z);
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results[2] = new Vector3(Maximum.X, Minimum.Y, Maximum.Z);
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results[3] = new Vector3(Minimum.X, Minimum.Y, Maximum.Z);
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results[4] = new Vector3(Minimum.X, Maximum.Y, Minimum.Z);
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results[5] = new Vector3(Maximum.X, Maximum.Y, Minimum.Z);
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results[6] = new Vector3(Maximum.X, Minimum.Y, Minimum.Z);
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results[7] = new Vector3(Minimum.X, Minimum.Y, Minimum.Z);
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return results;
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}
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.Ray"/>.
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/// </summary>
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/// <param name="ray">The ray to test.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref Ray ray)
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{
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float distance;
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return CollisionHelper.RayIntersectsBox(ref ray, ref this, out distance);
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}
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.Ray"/>.
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/// </summary>
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/// <param name="ray">The ray to test.</param>
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/// <param name="distance">When the method completes, contains the distance of the intersection,
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/// or 0 if there was no intersection.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref Ray ray, out float distance)
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{
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return CollisionHelper.RayIntersectsBox(ref ray, ref this, out distance);
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}
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.Ray"/>.
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/// </summary>
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/// <param name="ray">The ray to test.</param>
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/// <param name="point">When the method completes, contains the point of intersection,
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/// or <see cref="math.Vector3.Zero"/> if there was no intersection.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref Ray ray, out Vector3 point)
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{
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return CollisionHelper.RayIntersectsBox(ref ray, ref this, out point);
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}
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.Plane"/>.
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/// </summary>
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/// <param name="plane">The plane to test.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public PlaneIntersectionType Intersects(ref Plane plane)
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{
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return CollisionHelper.PlaneIntersectsBox(ref plane, ref this);
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}
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/* This implentation is wrong
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/// <summary>
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/// Determines if there is an intersection between the current object and a triangle.
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/// </summary>
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/// <param name="vertex1">The first vertex of the triangle to test.</param>
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/// <param name="vertex2">The second vertex of the triagnle to test.</param>
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/// <param name="vertex3">The third vertex of the triangle to test.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref Vector3 vertex1, ref Vector3 vertex2, ref Vector3 vertex3)
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{
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return Collision.BoxIntersectsTriangle(ref this, ref vertex1, ref vertex2, ref vertex3);
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}
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*/
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.BoundingBox"/>.
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/// </summary>
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/// <param name="box">The box to test.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref BoundingBox box)
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{
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return CollisionHelper.BoxIntersectsBox(ref this, ref box);
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}
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/// <summary>
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/// Determines if there is an intersection between the current object and a <see cref="math.BoundingSphere"/>.
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/// </summary>
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/// <param name="sphere">The sphere to test.</param>
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/// <returns>Whether the two objects intersected.</returns>
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public bool Intersects(ref BoundingSphere sphere)
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{
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return CollisionHelper.BoxIntersectsSphere(ref this, ref sphere);
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}
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/// <summary>
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/// Determines whether the current objects contains a point.
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/// </summary>
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/// <param name="point">The point to test.</param>
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/// <returns>The type of containment the two objects have.</returns>
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public ContainmentType Contains(ref Vector3 point)
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{
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return CollisionHelper.BoxContainsPoint(ref this, ref point);
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}
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/* This implentation is wrong
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/// <summary>
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/// Determines whether the current objects contains a triangle.
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/// </summary>
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/// <param name="vertex1">The first vertex of the triangle to test.</param>
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/// <param name="vertex2">The second vertex of the triagnle to test.</param>
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/// <param name="vertex3">The third vertex of the triangle to test.</param>
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/// <returns>The type of containment the two objects have.</returns>
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public ContainmentType Contains(ref Vector3 vertex1, ref Vector3 vertex2, ref Vector3 vertex3)
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{
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return Collision.BoxContainsTriangle(ref this, ref vertex1, ref vertex2, ref vertex3);
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}
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*/
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/// <summary>
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/// Determines whether the current objects contains a <see cref="math.BoundingBox"/>.
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/// </summary>
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/// <param name="box">The box to test.</param>
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/// <returns>The type of containment the two objects have.</returns>
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public ContainmentType Contains(ref BoundingBox box)
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{
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return CollisionHelper.BoxContainsBox(ref this, ref box);
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}
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/// <summary>
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/// Determines whether the current objects contains a <see cref="math.BoundingSphere"/>.
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/// </summary>
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/// <param name="sphere">The sphere to test.</param>
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/// <returns>The type of containment the two objects have.</returns>
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public ContainmentType Contains(ref BoundingSphere sphere)
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{
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return CollisionHelper.BoxContainsSphere(ref this, ref sphere);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> that fully contains the given points.
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/// </summary>
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/// <param name="points">The points that will be contained by the box.</param>
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/// <param name="result">When the method completes, contains the newly constructed bounding box.</param>
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/// <exception cref="ArgumentNullException">Thrown when <paramref name="points"/> is <c>null</c>.</exception>
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public static void FromPoints(Vector3[] points, out BoundingBox result)
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{
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if (points == null)
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throw new ArgumentNullException("points");
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Vector3 min = new Vector3(float.MaxValue);
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Vector3 max = new Vector3(float.MinValue);
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for (int i = 0; i < points.Length; ++i)
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{
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Vector3.Min(ref min, ref points[i], out min);
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Vector3.Max(ref max, ref points[i], out max);
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}
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result = new BoundingBox(min, max);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> that fully contains the given points.
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/// </summary>
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/// <param name="points">The points that will be contained by the box.</param>
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/// <returns>The newly constructed bounding box.</returns>
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/// <exception cref="ArgumentNullException">Thrown when <paramref name="points"/> is <c>null</c>.</exception>
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public static BoundingBox FromPoints(Vector3[] points)
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{
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if (points == null)
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throw new ArgumentNullException("points");
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Vector3 min = new Vector3(float.MaxValue);
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Vector3 max = new Vector3(float.MinValue);
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for (int i = 0; i < points.Length; ++i)
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{
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Vector3.Min(ref min, ref points[i], out min);
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Vector3.Max(ref max, ref points[i], out max);
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}
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return new BoundingBox(min, max);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> from a given sphere.
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/// </summary>
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/// <param name="sphere">The sphere that will designate the extents of the box.</param>
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/// <param name="result">When the method completes, contains the newly constructed bounding box.</param>
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public static void FromSphere(ref BoundingSphere sphere, out BoundingBox result)
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{
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result.Minimum = new Vector3(sphere.Center.X - sphere.Radius, sphere.Center.Y - sphere.Radius, sphere.Center.Z - sphere.Radius);
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result.Maximum = new Vector3(sphere.Center.X + sphere.Radius, sphere.Center.Y + sphere.Radius, sphere.Center.Z + sphere.Radius);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> from a given sphere.
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/// </summary>
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/// <param name="sphere">The sphere that will designate the extents of the box.</param>
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/// <returns>The newly constructed bounding box.</returns>
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public static BoundingBox FromSphere(BoundingSphere sphere)
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{
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BoundingBox box;
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box.Minimum = new Vector3(sphere.Center.X - sphere.Radius, sphere.Center.Y - sphere.Radius, sphere.Center.Z - sphere.Radius);
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box.Maximum = new Vector3(sphere.Center.X + sphere.Radius, sphere.Center.Y + sphere.Radius, sphere.Center.Z + sphere.Radius);
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return box;
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}
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/// <summary>
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/// Transform a bounding box.
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/// </summary>
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/// <param name="value">The original bounding box.</param>
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/// <param name="transform">The transform to apply to the bounding box.</param>
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/// <param name="result">The transformed bounding box.</param>
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public static void Transform(ref BoundingBox value, ref Matrix transform, out BoundingBox result)
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{
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var boundingBox = new BoundingBoxExt(value);
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boundingBox.Transform(transform);
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result = (BoundingBox)boundingBox;
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> that is as large enough to contains the bounding box and the given point.
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/// </summary>
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/// <param name="value1">The box to merge.</param>
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/// <param name="value2">The point to merge.</param>
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/// <param name="result">When the method completes, contains the newly constructed bounding box.</param>
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public static void Merge(ref BoundingBox value1, ref Vector3 value2, out BoundingBox result)
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{
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Vector3.Min(ref value1.Minimum, ref value2, out result.Minimum);
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Vector3.Max(ref value1.Maximum, ref value2, out result.Maximum);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> that is as large as the total combined area of the two specified boxes.
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/// </summary>
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/// <param name="value1">The first box to merge.</param>
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/// <param name="value2">The second box to merge.</param>
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/// <param name="result">When the method completes, contains the newly constructed bounding box.</param>
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public static void Merge(ref BoundingBox value1, ref BoundingBox value2, out BoundingBox result)
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{
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Vector3.Min(ref value1.Minimum, ref value2.Minimum, out result.Minimum);
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Vector3.Max(ref value1.Maximum, ref value2.Maximum, out result.Maximum);
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}
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/// <summary>
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/// Constructs a <see cref="math.BoundingBox"/> that is as large as the total combined area of the two specified boxes.
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/// </summary>
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/// <param name="value1">The first box to merge.</param>
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/// <param name="value2">The second box to merge.</param>
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/// <returns>The newly constructed bounding box.</returns>
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public static BoundingBox Merge(BoundingBox value1, BoundingBox value2)
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{
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BoundingBox box;
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Vector3.Min(ref value1.Minimum, ref value2.Minimum, out box.Minimum);
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Vector3.Max(ref value1.Maximum, ref value2.Maximum, out box.Maximum);
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return box;
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}
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/// <summary>
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/// Tests for equality between two objects.
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/// </summary>
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/// <param name="left">The first value to compare.</param>
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/// <param name="right">The second value to compare.</param>
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/// <returns><c>true</c> if <paramref name="left"/> has the same value as <paramref name="right"/>; otherwise, <c>false</c>.</returns>
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public static bool operator ==(BoundingBox left, BoundingBox right)
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{
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return left.Equals(right);
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}
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/// <summary>
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/// Tests for inequality between two objects.
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/// </summary>
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/// <param name="left">The first value to compare.</param>
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/// <param name="right">The second value to compare.</param>
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/// <returns><c>true</c> if <paramref name="left"/> has a different value than <paramref name="right"/>; otherwise, <c>false</c>.</returns>
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public static bool operator !=(BoundingBox left, BoundingBox right)
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{
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return !left.Equals(right);
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}
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/// <summary>
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/// Returns a <see cref="string"/> that represents this instance.
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/// </summary>
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/// <returns>
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/// A <see cref="string"/> that represents this instance.
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/// </returns>
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public override string ToString()
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{
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return string.Format(CultureInfo.CurrentCulture, "Minimum:{0} Maximum:{1}", Minimum.ToString(), Maximum.ToString());
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}
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/// <summary>
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/// Returns a <see cref="string"/> that represents this instance.
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/// </summary>
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/// <param name="format">The format.</param>
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/// <returns>
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/// A <see cref="string"/> that represents this instance.
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/// </returns>
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public string ToString(string format)
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{
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if (format == null)
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return ToString();
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return string.Format(CultureInfo.CurrentCulture, "Minimum:{0} Maximum:{1}", Minimum.ToString(format, CultureInfo.CurrentCulture),
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Maximum.ToString(format, CultureInfo.CurrentCulture));
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}
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/// <summary>
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/// Returns a <see cref="string"/> that represents this instance.
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/// </summary>
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/// <param name="formatProvider">The format provider.</param>
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/// <returns>
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/// A <see cref="string"/> that represents this instance.
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/// </returns>
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public string ToString(IFormatProvider formatProvider)
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{
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return string.Format(formatProvider, "Minimum:{0} Maximum:{1}", Minimum.ToString(), Maximum.ToString());
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}
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/// <summary>
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/// Returns a <see cref="string"/> that represents this instance.
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/// </summary>
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/// <param name="format">The format.</param>
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/// <param name="formatProvider">The format provider.</param>
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/// <returns>
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/// A <see cref="string"/> that represents this instance.
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/// </returns>
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public string ToString(string format, IFormatProvider formatProvider)
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{
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if (format == null)
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return ToString(formatProvider);
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return string.Format(formatProvider, "Minimum:{0} Maximum:{1}", Minimum.ToString(format, formatProvider),
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Maximum.ToString(format, formatProvider));
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}
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/// <summary>
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/// Returns a hash code for this instance.
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/// </summary>
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/// <returns>
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/// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
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/// </returns>
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public override int GetHashCode()
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{
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return Minimum.GetHashCode() + Maximum.GetHashCode();
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}
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/// <summary>
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/// Determines whether the specified <see cref="math.Vector4"/> is equal to this instance.
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/// </summary>
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/// <param name="value">The <see cref="math.Vector4"/> to compare with this instance.</param>
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/// <returns>
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/// <c>true</c> if the specified <see cref="math.Vector4"/> is equal to this instance; otherwise, <c>false</c>.
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/// </returns>
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public bool Equals(BoundingBox value)
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{
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return Minimum == value.Minimum && Maximum == value.Maximum;
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}
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/// <summary>
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/// Determines whether the specified <see cref="object"/> is equal to this instance.
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/// </summary>
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/// <param name="value">The <see cref="object"/> to compare with this instance.</param>
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/// <returns>
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/// <c>true</c> if the specified <see cref="object"/> is equal to this instance; otherwise, <c>false</c>.
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/// </returns>
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public override bool Equals(object value)
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{
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if (value == null)
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return false;
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if (value.GetType() != GetType())
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return false;
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return Equals((BoundingBox)value);
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}
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}
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}
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