742 lines
26 KiB
C#
742 lines
26 KiB
C#
#region Using Statements
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using System;
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#endregion // Using Statements
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#region License
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//
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// This file is part of the ANX.Framework created by the "ANX.Framework developer group".
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//
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// This file is released under the Ms-PL license.
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//
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//
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//
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// Microsoft Public License (Ms-PL)
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//
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// This license governs use of the accompanying software. If you use the software, you accept this license.
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// If you do not accept the license, do not use the software.
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//
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// 1.Definitions
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// The terms "reproduce," "reproduction," "derivative works," and "distribution" have the same meaning
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// here as under U.S. copyright law.
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// A "contribution" is the original software, or any additions or changes to the software.
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// A "contributor" is any person that distributes its contribution under this license.
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// "Licensed patents" are a contributor's patent claims that read directly on its contribution.
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//
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// 2.Grant of Rights
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// (A) Copyright Grant- Subject to the terms of this license, including the license conditions and limitations
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// in section 3, each contributor grants you a non-exclusive, worldwide, royalty-free copyright license to
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// reproduce its contribution, prepare derivative works of its contribution, and distribute its contribution
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// or any derivative works that you create.
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// (B) Patent Grant- Subject to the terms of this license, including the license conditions and limitations in
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// section 3, each contributor grants you a non-exclusive, worldwide, royalty-free license under its licensed
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// patents to make, have made, use, sell, offer for sale, import, and/or otherwise dispose of its contribution
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// in the software or derivative works of the contribution in the software.
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//
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// 3.Conditions and Limitations
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// (A) No Trademark License- This license does not grant you rights to use any contributors' name, logo, or trademarks.
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// (B) If you bring a patent claim against any contributor over patents that you claim are infringed by the software, your
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// patent license from such contributor to the software ends automatically.
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// (C) If you distribute any portion of the software, you must retain all copyright, patent, trademark, and attribution
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// notices that are present in the software.
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// (D) If you distribute any portion of the software in source code form, you may do so only under this license by including
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// a complete copy of this license with your distribution. If you distribute any portion of the software in compiled or
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// object code form, you may only do so under a license that complies with this license.
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// (E) The software is licensed "as-is." You bear the risk of using it. The contributors give no express warranties, guarantees,
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// or conditions. You may have additional consumer rights under your local laws which this license cannot change. To the
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// extent permitted under your local laws, the contributors exclude the implied warranties of merchantability, fitness for a
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// particular purpose and non-infringement.
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#endregion // License
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namespace ANX.Framework
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{
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public struct Vector3 : IEquatable<Vector3>
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{
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#region Private Static Fields
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private static Vector3 zero = new Vector3(0f, 0f, 0f);
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private static Vector3 one = new Vector3(1f, 1f, 1f);
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private static Vector3 left = new Vector3(-1f, 0f, 0f);
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private static Vector3 right = new Vector3(1f, 0f, 0f);
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private static Vector3 up = new Vector3(0f, 1f, 0f);
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private static Vector3 down = new Vector3(0f, -1f, 0f);
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private static Vector3 forward = new Vector3(0f, 0f, -1f);
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private static Vector3 backward = new Vector3(0f, 0f, 1f);
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private static Vector3 unitX = new Vector3(1f, 0f, 0f);
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private static Vector3 unitY = new Vector3(0f, 1f, 0f);
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private static Vector3 unitZ = new Vector3(0f, 0f, 1f);
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#endregion Private Fields
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#region Public Fields
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public float X;
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public float Y;
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public float Z;
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#endregion
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#region Public Static Properties
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public static Vector3 Zero
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{
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get
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{
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return zero;
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}
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}
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public static Vector3 One
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{
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get
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{
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return one;
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}
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}
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public static Vector3 Left
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{
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get
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{
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return left;
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}
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}
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public static Vector3 Right
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{
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get
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{
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return right;
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}
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}
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public static Vector3 Up
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{
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get
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{
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return up;
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}
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}
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public static Vector3 Down
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{
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get
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{
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return down;
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}
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}
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public static Vector3 Forward
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{
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get
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{
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return forward;
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}
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}
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public static Vector3 Backward
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{
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get
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{
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return backward;
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}
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}
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public static Vector3 UnitX
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{
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get
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{
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return unitX;
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}
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}
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public static Vector3 UnitY
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{
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get
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{
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return unitY;
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}
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}
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public static Vector3 UnitZ
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{
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get
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{
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return unitZ;
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}
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}
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#endregion
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#region Constructors
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public Vector3(float value)
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{
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this.X = value;
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this.Y = value;
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this.Z = value;
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}
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public Vector3(float x, float y, float z)
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{
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this.X = x;
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this.Y = y;
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this.Z = z;
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}
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public Vector3(Vector2 value, float z)
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{
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this.X = value.X;
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this.Y = value.Y;
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this.Z = z;
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}
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#endregion
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#region Public Static Methods
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public static Vector3 Add(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Add(ref value1, ref value2, out result);
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return result;
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}
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public static void Add(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X + value2.X;
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result.Y = value1.Y + value2.Y;
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result.Z = value1.Z + value2.Z;
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}
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public static Vector3 Subtract(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Subtract(ref value1, ref value2, out result);
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return result;
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}
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public static void Subtract(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X - value2.X;
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result.Y = value1.Y - value2.Y;
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result.Z = value1.Z - value2.Z;
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}
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public static Vector3 Multiply(Vector3 value1, float scaleFactor)
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{
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Vector3 result;
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Multiply(ref value1, scaleFactor, out result);
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return result;
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}
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public static void Multiply(ref Vector3 value1, float scaleFactor, out Vector3 result)
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{
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result.X = value1.X * scaleFactor;
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result.Y = value1.Y * scaleFactor;
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result.Z = value1.Z * scaleFactor;
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}
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public static Vector3 Multiply(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Multiply(ref value1, ref value2, out result);
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return result;
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}
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public static void Multiply(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X * value2.X;
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result.Y = value1.Y * value2.Y;
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result.Z = value1.Z * value2.Z;
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}
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public static Vector3 Divide(Vector3 value1, float value2)
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{
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Vector3 result;
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Divide(ref value1, value2, out result);
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return result;
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}
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public static void Divide(ref Vector3 value1, float value2, out Vector3 result)
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{
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float divFactor = 1f / value2;
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result.X = value1.X * divFactor;
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result.Y = value1.Y * divFactor;
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result.Z = value1.Z * divFactor;
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}
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public static Vector3 Divide(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Divide(ref value1, ref value2, out result);
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return result;
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}
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public static void Divide(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X / value2.X;
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result.Y = value1.Y / value2.Y;
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result.Z = value1.Z / value2.Z;
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}
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public static float Dot(Vector3 vector1, Vector3 vector2)
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{
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float result;
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Dot(ref vector1, ref vector2, out result);
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return result;
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}
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public static void Dot(ref Vector3 vector1, ref Vector3 vector2, out float result)
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{
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result = vector1.X * vector2.X + vector1.Y * vector2.Y + vector1.Z * vector2.Z;
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}
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public static Vector3 Cross(Vector3 vector1, Vector3 vector2)
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{
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Vector3 result;
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Cross(ref vector1, ref vector2, out result);
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return result;
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}
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public static void Cross(ref Vector3 vector1, ref Vector3 vector2, out Vector3 result)
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{
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result.X = vector1.Y * vector2.Z - vector1.Z * vector2.Y;
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result.Y = vector1.Z * vector2.X - vector1.X * vector2.Z;
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result.Z = vector1.X * vector2.Y - vector1.Y * vector2.X;
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}
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public static Vector3 Normalize(Vector3 value)
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{
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Vector3 result;
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Normalize(ref value, out result);
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return result;
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}
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public static void Normalize(ref Vector3 value, out Vector3 result)
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{
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float divFactor = 1f / value.Length();
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result.X = value.X * divFactor;
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result.Y = value.Y * divFactor;
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result.Z = value.Z * divFactor;
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}
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public static float Distance(Vector3 value1, Vector3 value2)
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{
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float result;
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Distance(ref value1, ref value2, out result);
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return result;
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}
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public static void Distance(ref Vector3 value1, ref Vector3 value2, out float result)
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{
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Vector3 resultVector;
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Subtract(ref value1, ref value2, out resultVector);
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result = resultVector.Length();
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}
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public static float DistanceSquared(Vector3 value1, Vector3 value2)
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{
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float result;
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DistanceSquared(ref value1, ref value2, out result);
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return result;
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}
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public static void DistanceSquared(ref Vector3 value1, ref Vector3 value2, out float result)
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{
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Vector3 resultVector;
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Subtract(ref value1, ref value2, out resultVector);
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result = resultVector.LengthSquared();
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}
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public static Vector3 Barycentric(Vector3 value1, Vector3 value2, Vector3 value3, float amount1, float amount2)
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{
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Vector3 result;
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Barycentric(ref value1, ref value2, ref value3, amount1, amount2, out result);
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return result;
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}
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public static void Barycentric(ref Vector3 value1, ref Vector3 value2, ref Vector3 value3, float amount1, float amount2, out Vector3 result)
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{
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result.X = MathHelper.Barycentric(value1.X, value2.X, value3.X, amount1, amount2);
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result.Y = MathHelper.Barycentric(value1.Y, value2.Y, value3.Y, amount1, amount2);
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result.Z = MathHelper.Barycentric(value1.Z, value2.Z, value3.Z, amount1, amount2);
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}
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public static Vector3 CatmullRom(Vector3 value1, Vector3 value2, Vector3 value3, Vector3 value4, float amount)
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{
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Vector3 result;
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CatmullRom(ref value1, ref value2, ref value3, ref value4, amount, out result);
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return result;
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}
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public static void CatmullRom(ref Vector3 value1, ref Vector3 value2, ref Vector3 value3, ref Vector3 value4, float amount, out Vector3 result)
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{
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result.X = MathHelper.CatmullRom(value1.X, value2.X, value3.X, value4.X, amount);
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result.Y = MathHelper.CatmullRom(value1.Y, value2.Y, value3.Y, value4.Y, amount);
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result.Z = MathHelper.CatmullRom(value1.Z, value2.Z, value3.Z, value4.Z, amount);
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}
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public static Vector3 Clamp(Vector3 value1, Vector3 min, Vector3 max)
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{
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Vector3 result;
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Clamp(ref value1, ref min, ref max, out result);
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return result;
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}
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public static void Clamp(ref Vector3 value1, ref Vector3 min, ref Vector3 max, out Vector3 result)
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{
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result.X = MathHelper.Clamp(value1.X, min.X, max.X);
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result.Y = MathHelper.Clamp(value1.Y, min.Y, max.Y);
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result.Z = MathHelper.Clamp(value1.Z, min.Z, max.Z);
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}
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public static Vector3 Hermite(Vector3 value1, Vector3 tangent1, Vector3 value2, Vector3 tangent2, float amount)
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{
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Vector3 result;
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Hermite(ref value1, ref tangent1, ref value2, ref tangent2, amount, out result);
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return result;
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}
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public static void Hermite(ref Vector3 value1, ref Vector3 tangent1, ref Vector3 value2, ref Vector3 tangent2, float amount, out Vector3 result)
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{
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result.X = MathHelper.Hermite(value1.X, tangent1.X, value2.X, tangent2.X, amount);
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result.Y = MathHelper.Hermite(value1.Y, tangent1.Y, value2.Y, tangent2.Y, amount);
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result.Z = MathHelper.Hermite(value1.Z, tangent1.Z, value2.Z, tangent2.Z, amount);
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}
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public static Vector3 Lerp(Vector3 value1, Vector3 value2, float amount)
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{
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Vector3 result;
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Lerp(ref value1, ref value2, amount, out result);
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return result;
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}
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public static void Lerp(ref Vector3 value1, ref Vector3 value2, float amount, out Vector3 result)
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{
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result.X = MathHelper.Lerp(value1.X, value2.X, amount);
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result.Y = MathHelper.Lerp(value1.Y, value2.Y, amount);
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result.Z = MathHelper.Lerp(value1.Z, value2.Z, amount);
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}
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public static Vector3 Max(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Max(ref value1, ref value2, out result);
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return result;
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}
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public static void Max(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X > value2.X ? value1.X : value2.X;
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result.Y = value1.Y > value2.Y ? value1.Y : value2.Y;
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result.Z = value1.Z > value2.Z ? value1.Z : value2.Z;
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}
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public static Vector3 Min(Vector3 value1, Vector3 value2)
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{
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Vector3 result;
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Min(ref value1, ref value2, out result);
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return result;
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}
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public static void Min(ref Vector3 value1, ref Vector3 value2, out Vector3 result)
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{
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result.X = value1.X < value2.X ? value1.X : value2.X;
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result.Y = value1.Y < value2.Y ? value1.Y : value2.Y;
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result.Z = value1.Z < value2.Z ? value1.Z : value2.Z;
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}
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public static Vector3 Negate(Vector3 value)
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{
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Vector3 result;
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Negate(ref value, out result);
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return result;
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}
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public static void Negate(ref Vector3 value, out Vector3 result)
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{
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result.X = -value.X;
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result.Y = -value.Y;
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result.Z = -value.Z;
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}
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public static Vector3 Reflect(Vector3 vector, Vector3 normal)
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{
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Vector3 result;
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Vector3.Reflect(ref vector, ref normal, out result);
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return result;
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}
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public static void Reflect(ref Vector3 vector, ref Vector3 normal, out Vector3 result)
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{
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float scaleFactor = Vector3.Dot(vector, normal) * 2;
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Vector3 tmp;
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Multiply(ref normal, scaleFactor, out tmp);
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Subtract(ref vector, ref tmp, out result);
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}
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public static Vector3 SmoothStep(Vector3 value1, Vector3 value2, float amount)
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{
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Vector3 result;
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Vector3.SmoothStep(ref value1, ref value2, amount, out result);
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return result;
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}
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public static void SmoothStep(ref Vector3 value1, ref Vector3 value2, float amount, out Vector3 result)
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{
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result.X = MathHelper.SmoothStep(value1.X, value2.X, amount);
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result.Y = MathHelper.SmoothStep(value1.Y, value2.Y, amount);
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result.Z = MathHelper.SmoothStep(value1.Z, value2.Z, amount);
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}
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#region Transformations
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public static Vector3 Transform(Vector3 position, Matrix matrix)
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{
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Vector3 result;
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Transform(ref position, ref matrix, out result);
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return result;
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}
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//source: XNI
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public static void Transform(ref Vector3 position, ref Matrix matrix, out Vector3 result)
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{
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result.X = (position.X * matrix.M11) + (position.Y * matrix.M21) + (position.Z * matrix.M31) + matrix.M41;
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result.Y = (position.X * matrix.M12) + (position.Y * matrix.M22) + (position.Z * matrix.M32) + matrix.M42;
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result.Z = (position.X * matrix.M13) + (position.Y * matrix.M23) + (position.Z * matrix.M33) + matrix.M43;
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}
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public static Vector3 Transform(Vector3 value, Quaternion quaternion)
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{
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Vector3 result;
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Transform(ref value, ref quaternion, out result);
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return result;
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}
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public static void Transform(ref Vector3 value, ref Quaternion rotation, out Vector3 result)
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{
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float x = 2* (rotation.Y * value.Z - rotation.Z * value.Y);
|
|
float y = 2* (rotation.Z * value.X - rotation.X * value.Z);
|
|
float z = 2* (rotation.X * value.Y - rotation.Y * value.X);
|
|
|
|
result.X = value.X + x * rotation.W + (rotation.Y * z - rotation.Z * y);
|
|
result.Y = value.Y + y * rotation.W + (rotation.Z * x - rotation.X * z);
|
|
result.Z = value.Z + z * rotation.W + (rotation.X * y - rotation.Y * x);
|
|
}
|
|
|
|
public static void Transform(Vector3[] sourceArray, ref Matrix matrix, Vector3[] destinationArray)
|
|
{
|
|
for (int i = 0; i < sourceArray.Length; i++)
|
|
Transform(ref sourceArray[i], ref matrix, out destinationArray[i]);
|
|
}
|
|
|
|
public static void Transform(Vector3[] sourceArray, ref Quaternion rotation, Vector3[] destinationArray)
|
|
{
|
|
for (int i = 0; i < sourceArray.Length; i++)
|
|
Transform(ref sourceArray[i], ref rotation, out destinationArray[i]);
|
|
}
|
|
|
|
public static void Transform(Vector3[] sourceArray, int sourceIndex, ref Matrix matrix, Vector3[] destinationArray, int destinationIndex, int length)
|
|
{
|
|
length += sourceIndex;
|
|
for (int i = sourceIndex; i < length; i++, destinationIndex++)
|
|
Transform(ref sourceArray[i], ref matrix, out destinationArray[destinationIndex]);
|
|
}
|
|
|
|
public static void Transform(Vector3[] sourceArray, int sourceIndex, ref Quaternion rotation, Vector3[] destinationArray, int destinationIndex, int length)
|
|
{
|
|
length += sourceIndex;
|
|
for (int i = sourceIndex; i < length; i++, destinationIndex++)
|
|
Transform(ref sourceArray[i], ref rotation, out destinationArray[destinationIndex]);
|
|
}
|
|
|
|
public static Vector3 TransformNormal(Vector3 normal, Matrix matrix)
|
|
{
|
|
Vector3 result;
|
|
TransformNormal(ref normal, ref matrix, out result);
|
|
return result;
|
|
}
|
|
|
|
public static void TransformNormal(ref Vector3 normal, ref Matrix matrix, out Vector3 result)
|
|
{
|
|
result.X = (normal.X * matrix.M11) + (normal.Y * matrix.M21) + (normal.Z * matrix.M31);
|
|
result.Y = (normal.X * matrix.M12) + (normal.Y * matrix.M22) + (normal.Z * matrix.M32);
|
|
result.Z = (normal.X * matrix.M13) + (normal.Y * matrix.M23) + (normal.Z * matrix.M33);
|
|
}
|
|
|
|
public static void TransformNormal(Vector3[] sourceArray, ref Matrix matrix, Vector3[] destinationArray)
|
|
{
|
|
for (int i = 0; i < sourceArray.Length; i++)
|
|
TransformNormal(ref sourceArray[i], ref matrix, out destinationArray[i]);
|
|
}
|
|
|
|
public static void TransformNormal(Vector3[] sourceArray, int sourceIndex, ref Matrix matrix, Vector3[] destinationArray, int destinationIndex, int length)
|
|
{
|
|
length += sourceIndex;
|
|
for (int i = sourceIndex; i < length; i++, destinationIndex++)
|
|
TransformNormal(ref sourceArray[i], ref matrix, out destinationArray[destinationIndex]);
|
|
}
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#region Operator Overloading
|
|
|
|
public static Vector3 operator +(Vector3 value1, Vector3 value2)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value1.X + value2.X;
|
|
result.Y = value1.Y + value2.Y;
|
|
result.Z = value1.Z + value2.Z;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator /(Vector3 value1, float divider)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
float divFactor = 1f / divider;
|
|
result.X = value1.X * divFactor;
|
|
result.Y = value1.Y * divFactor;
|
|
result.Z = value1.Z * divFactor;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator /(Vector3 value1, Vector3 value2)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value1.X / value2.X;
|
|
result.Y = value1.Y / value2.Y;
|
|
result.Z = value1.Z / value2.Z;
|
|
return result;
|
|
}
|
|
|
|
public static bool operator ==(Vector3 value1, Vector3 value2)
|
|
{
|
|
return value1.Equals(value2);
|
|
}
|
|
|
|
public static bool operator !=(Vector3 value1, Vector3 value2)
|
|
{
|
|
return !value1.Equals(value2);
|
|
}
|
|
|
|
public static Vector3 operator *(Vector3 value, float scaleFactor)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value.X * scaleFactor;
|
|
result.Y = value.Y * scaleFactor;
|
|
result.Z = value.Z * scaleFactor;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator *(float scaleFactor, Vector3 value)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value.X * scaleFactor;
|
|
result.Y = value.Y * scaleFactor;
|
|
result.Z = value.Z * scaleFactor;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator *(Vector3 value1, Vector3 value2)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value1.X * value2.X;
|
|
result.Y = value1.Y * value2.Y;
|
|
result.Z = value1.Z * value2.Z;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator -(Vector3 value1, Vector3 value2)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value1.X - value2.X;
|
|
result.Y = value1.Y - value2.Y;
|
|
result.Z = value1.Z - value2.Z;
|
|
return result;
|
|
}
|
|
|
|
public static Vector3 operator -(Vector3 value)
|
|
{
|
|
Vector3 result = new Vector3();
|
|
result.X = value.X;
|
|
result.Y = value.Y;
|
|
result.Z = value.Z;
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Public Methods
|
|
|
|
public float Length()
|
|
{
|
|
return (float)Math.Sqrt(this.X * this.X + this.Y * this.Y + this.Z * this.Z);
|
|
}
|
|
|
|
public float LengthSquared()
|
|
{
|
|
return this.X * this.X + this.Y * this.Y + this.Z * this.Z;
|
|
}
|
|
|
|
public void Normalize()
|
|
{
|
|
float divFactor = 1f / this.Length();
|
|
this.X = this.X * divFactor;
|
|
this.Y = this.Y * divFactor;
|
|
this.Z = this.Z * divFactor;
|
|
}
|
|
|
|
public override int GetHashCode()
|
|
{
|
|
return this.X.GetHashCode() + this.Y.GetHashCode() + this.Z.GetHashCode();
|
|
}
|
|
|
|
public override string ToString()
|
|
{
|
|
var currentCulture = System.Globalization.CultureInfo.CurrentCulture;
|
|
return string.Format(currentCulture, "{{X:{0} Y:{1} Z:{2}}}", new object[]
|
|
{
|
|
this.X.ToString(currentCulture),
|
|
this.Y.ToString(currentCulture),
|
|
this.Z.ToString(currentCulture)
|
|
});
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region IEquatable implementation
|
|
|
|
public override bool Equals(Object obj)
|
|
{
|
|
return (obj is Vector3) ? this.Equals((Vector3)obj) : false;
|
|
}
|
|
|
|
public bool Equals(Vector3 other)
|
|
{
|
|
return this.X == other.X && this.Y == other.Y && this.Z == other.Z;
|
|
}
|
|
|
|
#endregion
|
|
}
|
|
}
|