hondacrx
1098 lines
46 KiB
C#
1098 lines
46 KiB
C#
/*
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* Copyright (C) 2012-2018 CypherCore <http://github.com/CypherCore>
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* Copyright (C) 2003-2004 Eran Kampf eran@ekampf.com http://www.ekampf.com
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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using System;
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using System.Collections.Generic;
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using System.ComponentModel;
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using System.Diagnostics;
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using System.Runtime.InteropServices;
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using System.Text.RegularExpressions;
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namespace Framework.GameMath
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{
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/// <summary>
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/// Represents 3-Dimentional vector of single-precision floating point numbers.
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/// </summary>
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[Serializable]
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[StructLayout(LayoutKind.Sequential)]
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//[TypeConverter(typeof(Vector3Converter))]
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public struct Vector3 : ICloneable
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{
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#region Constructors
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector3"/> class with the specified coordinates.
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/// </summary>
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/// <param name="x">The vector's X coordinate.</param>
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/// <param name="y">The vector's Y coordinate.</param>
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/// <param name="z">The vector's Z coordinate.</param>
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public Vector3(float x, float y, float z)
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{
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X = x;
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Y = y;
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Z = z;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector3"/> class with the specified coordinates.
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/// </summary>
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/// <param name="coordinates">An array containing the coordinate parameters.</param>
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public Vector3(float[] coordinates)
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{
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Debug.Assert(coordinates != null);
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Debug.Assert(coordinates.Length >= 3);
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X = coordinates[0];
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Y = coordinates[1];
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Z = coordinates[2];
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector3"/> class with the specified coordinates.
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/// </summary>
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/// <param name="coordinates">An array containing the coordinate parameters.</param>
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public Vector3(List<float> coordinates)
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{
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Debug.Assert(coordinates != null);
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Debug.Assert(coordinates.Count >= 3);
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X = coordinates[0];
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Y = coordinates[1];
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Z = coordinates[2];
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector3"/> class using coordinates from a given <see cref="Vector3"/> instance.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> to get the coordinates from.</param>
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public Vector3(Vector3 vector)
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{
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X = vector.X;
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Y = vector.Y;
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Z = vector.Z;
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}
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#endregion
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#region Constants
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/// <summary>
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/// 4-Dimentional single-precision floating point zero vector.
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/// </summary>
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public static readonly Vector3 Zero = new Vector3(0.0f, 0.0f, 0.0f);
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public static readonly Vector3 One = new Vector3(1.0f, 1.0f, 1.0f);
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/// <summary>
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/// 4-Dimentional single-precision floating point X-Axis vector.
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/// </summary>
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public static readonly Vector3 XAxis = new Vector3(1.0f, 0.0f, 0.0f);
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/// <summary>
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/// 4-Dimentional single-precision floating point Y-Axis vector.
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/// </summary>
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public static readonly Vector3 YAxis = new Vector3(0.0f, 1.0f, 0.0f);
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/// <summary>
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/// 4-Dimentional single-precision floating point Y-Axis vector.
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/// </summary>
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public static readonly Vector3 ZAxis = new Vector3(0.0f, 0.0f, 1.0f);
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#endregion
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#region Public properties
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/// <summary>
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/// Gets or sets the x-coordinate of this vector.
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/// </summary>
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/// <value>The x-coordinate of this vector.</value>
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public float X;
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/// <summary>
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/// Gets or sets the y-coordinate of this vector.
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/// </summary>
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/// <value>The y-coordinate of this vector.</value>
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public float Y;
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/// <summary>
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/// Gets or sets the z-coordinate of this vector.
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/// </summary>
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/// <value>The z-coordinate of this vector.</value>
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public float Z;
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#endregion
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#region ICloneable Members
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/// <summary>
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/// Creates an exact copy of this <see cref="Vector3"/> object.
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/// </summary>
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/// <returns>The <see cref="Vector3"/> object this method creates, cast as an object.</returns>
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object ICloneable.Clone()
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{
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return new Vector3(this);
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}
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/// <summary>
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/// Creates an exact copy of this <see cref="Vector3"/> object.
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/// </summary>
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/// <returns>The <see cref="Vector3"/> object this method creates.</returns>
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public Vector3 Clone()
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{
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return new Vector3(this);
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}
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#endregion
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#region Public Static Parse Methods
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/// <summary>
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/// Converts the specified string to its <see cref="Vector3"/> equivalent.
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/// </summary>
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/// <param name="value">A string representation of a <see cref="Vector3"/>.</param>
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/// <returns>A <see cref="Vector3"/> that represents the vector specified by the <paramref name="value"/> parameter.</returns>
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public static Vector3 Parse(string value)
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{
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Regex r = new Regex(@"\((?<x>.*),(?<y>.*),(?<z>.*)\)", RegexOptions.Singleline);
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Match m = r.Match(value);
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if (m.Success)
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{
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return new Vector3(
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float.Parse(m.Result("${x}")),
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float.Parse(m.Result("${y}")),
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float.Parse(m.Result("${z}"))
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);
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}
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else
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{
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throw new Exception("Unsuccessful Match.");
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}
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}
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/// <summary>
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/// Converts the specified string to its <see cref="Vector3"/> equivalent.
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/// A return value indicates whether the conversion succeeded or failed.
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/// </summary>
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/// <param name="value">A string representation of a <see cref="Vector3"/>.</param>
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/// <param name="result">
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/// When this method returns, if the conversion succeeded,
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/// contains a <see cref="Vector3"/> representing the vector specified by <paramref name="value"/>.
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/// </param>
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/// <returns><see langword="true"/> if value was converted successfully; otherwise, <see langword="false"/>.</returns>
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public static bool TryParse(string value, out Vector3 result)
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{
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Regex r = new Regex(@"\((?<x>.*),(?<y>.*),(?<z>.*)\)", RegexOptions.Singleline);
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Match m = r.Match(value);
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if (m.Success)
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{
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result = new Vector3(
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float.Parse(m.Result("${x}")),
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float.Parse(m.Result("${y}")),
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float.Parse(m.Result("${z}"))
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);
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return true;
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}
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result = Vector3.Zero;
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return false;
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}
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#endregion
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#region Public Static Vector Arithmetics
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/// <summary>
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/// Adds two vectors.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <returns>A new <see cref="Vector3"/> instance containing the sum.</returns>
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public static Vector3 Add(Vector3 left, Vector3 right)
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{
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return new Vector3(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
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}
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/// <summary>
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/// Adds a vector and a scalar.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <returns>A new <see cref="Vector3"/> instance containing the sum.</returns>
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public static Vector3 Add(Vector3 vector, float scalar)
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{
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return new Vector3(vector.X + scalar, vector.Y + scalar, vector.Z + scalar);
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}
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/// <summary>
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/// Adds two vectors and put the result in the third vector.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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public static void Add(Vector3 left, Vector3 right, ref Vector3 result)
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{
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result.X = left.X + right.X;
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result.Y = left.Y + right.Y;
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result.Z = left.Z + right.Z;
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}
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/// <summary>
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/// Adds a vector and a scalar and put the result into another vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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public static void Add(Vector3 vector, float scalar, ref Vector3 result)
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{
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result.X = vector.X + scalar;
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result.Y = vector.Y + scalar;
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result.Z = vector.Z + scalar;
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}
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/// <summary>
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/// Subtracts a vector from a vector.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
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/// <remarks>
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/// result[i] = left[i] - right[i].
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/// </remarks>
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public static Vector3 Subtract(Vector3 left, Vector3 right)
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{
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return new Vector3(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
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}
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/// <summary>
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/// Subtracts a scalar from a vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
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/// <remarks>
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/// result[i] = vector[i] - scalar
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/// </remarks>
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public static Vector3 Subtract(Vector3 vector, float scalar)
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{
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return new Vector3(vector.X - scalar, vector.Y - scalar, vector.Z - scalar);
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}
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/// <summary>
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/// Subtracts a vector from a scalar.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
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/// <remarks>
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/// result[i] = scalar - vector[i]
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/// </remarks>
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public static Vector3 Subtract(float scalar, Vector3 vector)
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{
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return new Vector3(scalar - vector.X, scalar - vector.Y, scalar - vector.Z);
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}
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/// <summary>
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/// Subtracts a vector from a second vector and puts the result into a third vector.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = left[i] - right[i].
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/// </remarks>
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public static void Subtract(Vector3 left, Vector3 right, ref Vector3 result)
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{
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result.X = left.X - right.X;
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result.Y = left.Y - right.Y;
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result.Z = left.Z - right.Z;
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}
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/// <summary>
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/// Subtracts a vector from a scalar and put the result into another vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = vector[i] - scalar
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/// </remarks>
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public static void Subtract(Vector3 vector, float scalar, ref Vector3 result)
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{
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result.X = vector.X - scalar;
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result.Y = vector.Y - scalar;
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result.Z = vector.Z - scalar;
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}
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/// <summary>
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/// Subtracts a scalar from a vector and put the result into another vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = scalar - vector[i]
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/// </remarks>
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public static void Subtract(float scalar, Vector3 vector, ref Vector3 result)
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{
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result.X = scalar - vector.X;
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result.Y = scalar - vector.Y;
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result.Z = scalar - vector.Z;
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}
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/// <summary>
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/// Divides a vector by another vector.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <returns>A new <see cref="Vector3"/> containing the quotient.</returns>
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/// <remarks>
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/// result[i] = left[i] / right[i].
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/// </remarks>
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public static Vector3 Divide(Vector3 left, Vector3 right)
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{
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return new Vector3(left.X / right.X, left.Y / right.Y, left.Z / right.Z);
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}
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/// <summary>
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/// Divides a vector by a scalar.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A scalar</param>
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/// <returns>A new <see cref="Vector3"/> containing the quotient.</returns>
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/// <remarks>
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/// result[i] = vector[i] / scalar;
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/// </remarks>
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public static Vector3 Divide(Vector3 vector, float scalar)
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{
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return new Vector3(vector.X / scalar, vector.Y / scalar, vector.Z / scalar);
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}
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/// <summary>
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/// Divides a scalar by a vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A scalar</param>
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/// <returns>A new <see cref="Vector3"/> containing the quotient.</returns>
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/// <remarks>
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/// result[i] = scalar / vector[i]
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/// </remarks>
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public static Vector3 Divide(float scalar, Vector3 vector)
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{
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return new Vector3(scalar / vector.X, scalar / vector.Y, scalar / vector.Z);
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}
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/// <summary>
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/// Divides a vector by another vector.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = left[i] / right[i]
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/// </remarks>
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public static void Divide(Vector3 left, Vector3 right, ref Vector3 result)
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{
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result.X = left.X / right.X;
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result.Y = left.Y / right.Y;
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result.Z = left.Z / right.Z;
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}
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/// <summary>
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/// Divides a vector by a scalar.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A scalar</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = vector[i] / scalar
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/// </remarks>
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public static void Divide(Vector3 vector, float scalar, ref Vector3 result)
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{
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result.X = vector.X / scalar;
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result.Y = vector.Y / scalar;
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result.Z = vector.Z / scalar;
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}
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/// <summary>
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/// Divides a scalar by a vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A scalar</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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/// <remarks>
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/// result[i] = scalar / vector[i]
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/// </remarks>
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public static void Divide(float scalar, Vector3 vector, ref Vector3 result)
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{
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result.X = scalar / vector.X;
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result.Y = scalar / vector.Y;
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result.Z = scalar / vector.Z;
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}
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/// <summary>
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/// Multiplies a vector by a scalar.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <returns>A new <see cref="Vector3"/> containing the result.</returns>
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public static Vector3 Multiply(Vector3 vector, float scalar)
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{
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return new Vector3(vector.X * scalar, vector.Y * scalar, vector.Z * scalar);
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}
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/// <summary>
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/// Multiplies a vector by a scalar and put the result in another vector.
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/// </summary>
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/// <param name="vector">A <see cref="Vector3"/> instance.</param>
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/// <param name="scalar">A single-precision floating-point number.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
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public static void Multiply(Vector3 vector, float scalar, ref Vector3 result)
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{
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result.X = vector.X * scalar;
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result.Y = vector.Y * scalar;
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result.Z = vector.Z * scalar;
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}
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/// <summary>
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/// Calculates the dot product of two vectors.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <returns>The dot product value.</returns>
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public static float DotProduct(Vector3 left, Vector3 right)
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{
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return (left.X * right.X) + (left.Y * right.Y) + (left.Z * right.Z);
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}
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/// <summary>
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/// Calculates the cross product of two vectors.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <returns>A new <see cref="Vector3"/> containing the cross product result.</returns>
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public static Vector3 CrossProduct(Vector3 left, Vector3 right)
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{
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return new Vector3(
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left.Y * right.Z - left.Z * right.Y,
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left.Z * right.X - left.X * right.Z,
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left.X * right.Y - left.Y * right.X);
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}
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/// <summary>
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/// Calculates the cross product of two vectors.
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/// </summary>
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/// <param name="left">A <see cref="Vector3"/> instance.</param>
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/// <param name="right">A <see cref="Vector3"/> instance.</param>
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/// <param name="result">A <see cref="Vector3"/> instance to hold the cross product result.</param>
|
|
public static void CrossProduct(Vector3 left, Vector3 right, ref Vector3 result)
|
|
{
|
|
result.X = left.Y * right.Z - left.Z * right.Y;
|
|
result.Y = left.Z * right.X - left.X * right.Z;
|
|
result.Z = left.X * right.Y - left.Y * right.X;
|
|
}
|
|
/// <summary>
|
|
/// Negates a vector.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the negated values.</returns>
|
|
public static Vector3 Negate(Vector3 vector)
|
|
{
|
|
return new Vector3(-vector.X, -vector.Y, -vector.Z);
|
|
}
|
|
/// <summary>
|
|
/// Tests whether two vectors are approximately equal using default tolerance value.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the two vectors are approximately equal; otherwise, <see langword="false"/>.</returns>
|
|
public static bool ApproxEqual(Vector3 left, Vector3 right)
|
|
{
|
|
return ApproxEqual(left, right, MathFunctions.Epsilon);
|
|
}
|
|
/// <summary>
|
|
/// Tests whether two vectors are approximately equal given a tolerance value.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="tolerance">The tolerance value used to test approximate equality.</param>
|
|
/// <returns><see langword="true"/> if the two vectors are approximately equal; otherwise, <see langword="false"/>.</returns>
|
|
public static bool ApproxEqual(Vector3 left, Vector3 right, float tolerance)
|
|
{
|
|
return
|
|
(
|
|
(System.Math.Abs(left.X - right.X) <= tolerance) &&
|
|
(System.Math.Abs(left.Y - right.Y) <= tolerance) &&
|
|
(System.Math.Abs(left.Z - right.Z) <= tolerance)
|
|
);
|
|
}
|
|
#endregion
|
|
|
|
#region Public Methods
|
|
/// <summary>
|
|
/// Scale the vector so that its length is 1.
|
|
/// </summary>
|
|
public void Normalize()
|
|
{
|
|
float length = GetLength();
|
|
if (length == 0)
|
|
{
|
|
throw new DivideByZeroException("Trying to normalize a vector with length of zero.");
|
|
}
|
|
|
|
X /= length;
|
|
Y /= length;
|
|
Z /= length;
|
|
}
|
|
/// <summary>
|
|
/// Calculates the length of the vector.
|
|
/// </summary>
|
|
/// <returns>Returns the length of the vector. (Sqrt(X*X + Y*Y))</returns>
|
|
public float GetLength()
|
|
{
|
|
return (float)System.Math.Sqrt(X * X + Y * Y + Z * Z);
|
|
}
|
|
/// <summary>
|
|
/// Calculates the squared length of the vector.
|
|
/// </summary>
|
|
/// <returns>Returns the squared length of the vector. (X*X + Y*Y)</returns>
|
|
public float GetLengthSquared()
|
|
{
|
|
return (X * X + Y * Y + Z * Z);
|
|
}
|
|
/// <summary>
|
|
/// Clamps vector values to zero using a given tolerance value.
|
|
/// </summary>
|
|
/// <param name="tolerance">The tolerance to use.</param>
|
|
/// <remarks>
|
|
/// The vector values that are close to zero within the given tolerance are set to zero.
|
|
/// </remarks>
|
|
public void ClampZero(float tolerance)
|
|
{
|
|
X = MathFunctions.Clamp(X, 0, tolerance);
|
|
Y = MathFunctions.Clamp(Y, 0, tolerance);
|
|
Z = MathFunctions.Clamp(Z, 0, tolerance);
|
|
}
|
|
/// <summary>
|
|
/// Clamps vector values to zero using the default tolerance value.
|
|
/// </summary>
|
|
/// <remarks>
|
|
/// The vector values that are close to zero within the given tolerance are set to zero.
|
|
/// The tolerance value used is <see cref="MathFunctions.EpsilonD"/>
|
|
/// </remarks>
|
|
public void ClampZero()
|
|
{
|
|
X = MathFunctions.Clamp(X, 0);
|
|
Y = MathFunctions.Clamp(Y, 0);
|
|
Z = MathFunctions.Clamp(Z, 0);
|
|
}
|
|
#endregion
|
|
|
|
#region System.Object Overrides
|
|
/// <summary>
|
|
/// Returns the hashcode for this instance.
|
|
/// </summary>
|
|
/// <returns>A 32-bit signed integer hash code.</returns>
|
|
public override int GetHashCode()
|
|
{
|
|
return X.GetHashCode() ^ Y.GetHashCode() ^ Z.GetHashCode();
|
|
}
|
|
/// <summary>
|
|
/// Returns a value indicating whether this instance is equal to
|
|
/// the specified object.
|
|
/// </summary>
|
|
/// <param name="obj">An object to compare to this instance.</param>
|
|
/// <returns><see langword="true"/> if <paramref name="obj"/> is a <see cref="Vector3"/> and has the same values as this instance; otherwise, <see langword="false"/>.</returns>
|
|
public override bool Equals(object obj)
|
|
{
|
|
if (obj is Vector3)
|
|
{
|
|
Vector3 v = (Vector3)obj;
|
|
return (X == v.X) && (Y == v.Y) && (Z == v.Z);
|
|
}
|
|
return false;
|
|
}
|
|
/// <summary>
|
|
/// Returns a string representation of this object.
|
|
/// </summary>
|
|
/// <returns>A string representation of this object.</returns>
|
|
public override string ToString()
|
|
{
|
|
return string.Format("({0}, {1}, {2})", X, Y, Z);
|
|
}
|
|
#endregion
|
|
|
|
#region Comparison Operators
|
|
/// <summary>
|
|
/// Tests whether two specified vectors are equal.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the two vectors are equal; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator ==(Vector3 left, Vector3 right)
|
|
{
|
|
return ValueType.Equals(left, right);
|
|
}
|
|
/// <summary>
|
|
/// Tests whether two specified vectors are not equal.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the two vectors are not equal; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator !=(Vector3 left, Vector3 right)
|
|
{
|
|
return !ValueType.Equals(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests if a vector's components are greater than another vector's components.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the left-hand vector's components are greater than the right-hand vector's component; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator >(Vector3 left, Vector3 right)
|
|
{
|
|
return (
|
|
(left.X > right.X) &&
|
|
(left.Y > right.Y) &&
|
|
(left.Z > right.Z));
|
|
}
|
|
/// <summary>
|
|
/// Tests if a vector's components are smaller than another vector's components.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the left-hand vector's components are smaller than the right-hand vector's component; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator <(Vector3 left, Vector3 right)
|
|
{
|
|
return (
|
|
(left.X < right.X) &&
|
|
(left.Y < right.Y) &&
|
|
(left.Z < right.Z));
|
|
}
|
|
/// <summary>
|
|
/// Tests if a vector's components are greater or equal than another vector's components.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the left-hand vector's components are greater or equal than the right-hand vector's component; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator >=(Vector3 left, Vector3 right)
|
|
{
|
|
return (
|
|
(left.X >= right.X) &&
|
|
(left.Y >= right.Y) &&
|
|
(left.Z >= right.Z));
|
|
}
|
|
/// <summary>
|
|
/// Tests if a vector's components are smaller or equal than another vector's components.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns><see langword="true"/> if the left-hand vector's components are smaller or equal than the right-hand vector's component; otherwise, <see langword="false"/>.</returns>
|
|
public static bool operator <=(Vector3 left, Vector3 right)
|
|
{
|
|
return (
|
|
(left.X <= right.X) &&
|
|
(left.Y <= right.Y) &&
|
|
(left.Z <= right.Z));
|
|
}
|
|
#endregion
|
|
|
|
#region Unary Operators
|
|
/// <summary>
|
|
/// Negates the values of the given vector.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the negated values.</returns>
|
|
public static Vector3 operator -(Vector3 vector)
|
|
{
|
|
return Vector3.Negate(vector);
|
|
}
|
|
#endregion
|
|
|
|
#region Binary Operators
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the sum.</returns>
|
|
public static Vector3 operator +(Vector3 left, Vector3 right)
|
|
{
|
|
return Vector3.Add(left, right);
|
|
}
|
|
/// <summary>
|
|
/// Adds a vector and a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the sum.</returns>
|
|
public static Vector3 operator +(Vector3 vector, float scalar)
|
|
{
|
|
return Vector3.Add(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Adds a vector and a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the sum.</returns>
|
|
public static Vector3 operator +(float scalar, Vector3 vector)
|
|
{
|
|
return Vector3.Add(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Subtracts a vector from a vector.
|
|
/// </summary>
|
|
/// <param name="left">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="right">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
|
|
/// <remarks>
|
|
/// result[i] = left[i] - right[i].
|
|
/// </remarks>
|
|
public static Vector3 operator -(Vector3 left, Vector3 right)
|
|
{
|
|
return Vector3.Subtract(left, right);
|
|
}
|
|
/// <summary>
|
|
/// Subtracts a scalar from a vector.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
|
|
/// <remarks>
|
|
/// result[i] = vector[i] - scalar
|
|
/// </remarks>
|
|
public static Vector3 operator -(Vector3 vector, float scalar)
|
|
{
|
|
return Vector3.Subtract(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Subtracts a vector from a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> instance containing the difference.</returns>
|
|
/// <remarks>
|
|
/// result[i] = scalar - vector[i]
|
|
/// </remarks>
|
|
public static Vector3 operator -(float scalar, Vector3 vector)
|
|
{
|
|
return Vector3.Subtract(scalar, vector);
|
|
}
|
|
/// <summary>
|
|
/// Multiplies a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> containing the result.</returns>
|
|
public static Vector3 operator *(Vector3 vector, float scalar)
|
|
{
|
|
return Vector3.Multiply(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Multiplies a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A single-precision floating-point number.</param>
|
|
/// <returns>A new <see cref="Vector3"/> containing the result.</returns>
|
|
public static Vector3 operator *(float scalar, Vector3 vector)
|
|
{
|
|
return Vector3.Multiply(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Divides a vector by a scalar.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A scalar</param>
|
|
/// <returns>A new <see cref="Vector3"/> containing the quotient.</returns>
|
|
/// <remarks>
|
|
/// result[i] = vector[i] / scalar;
|
|
/// </remarks>
|
|
public static Vector3 operator /(Vector3 vector, float scalar)
|
|
{
|
|
return Vector3.Divide(vector, scalar);
|
|
}
|
|
/// <summary>
|
|
/// Divides a scalar by a vector.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <param name="scalar">A scalar</param>
|
|
/// <returns>A new <see cref="Vector3"/> containing the quotient.</returns>
|
|
/// <remarks>
|
|
/// result[i] = scalar / vector[i]
|
|
/// </remarks>
|
|
public static Vector3 operator /(float scalar, Vector3 vector)
|
|
{
|
|
return Vector3.Divide(scalar, vector);
|
|
}
|
|
#endregion
|
|
|
|
#region Array Indexing Operator
|
|
/// <summary>
|
|
/// Indexer ( [x, y, z] ).
|
|
/// </summary>
|
|
public float this[int index]
|
|
{
|
|
get
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0:
|
|
return X;
|
|
case 1:
|
|
return Y;
|
|
case 2:
|
|
return Z;
|
|
default:
|
|
throw new IndexOutOfRangeException();
|
|
}
|
|
}
|
|
set
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0:
|
|
X = value;
|
|
break;
|
|
case 1:
|
|
Y = value;
|
|
break;
|
|
case 2:
|
|
Z = value;
|
|
break;
|
|
default:
|
|
throw new IndexOutOfRangeException();
|
|
}
|
|
}
|
|
|
|
}
|
|
public float this[uint index]
|
|
{
|
|
get
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0:
|
|
return X;
|
|
case 1:
|
|
return Y;
|
|
case 2:
|
|
return Z;
|
|
default:
|
|
throw new IndexOutOfRangeException();
|
|
}
|
|
}
|
|
set
|
|
{
|
|
switch (index)
|
|
{
|
|
case 0:
|
|
X = value;
|
|
break;
|
|
case 1:
|
|
Y = value;
|
|
break;
|
|
case 2:
|
|
Z = value;
|
|
break;
|
|
default:
|
|
throw new IndexOutOfRangeException();
|
|
}
|
|
}
|
|
|
|
}
|
|
#endregion
|
|
|
|
#region Conversion Operators
|
|
/// <summary>
|
|
/// Converts the vector to an array of single-precision floating point values.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>An array of single-precision floating point values.</returns>
|
|
public static explicit operator float[] (Vector3 vector)
|
|
{
|
|
float[] array = new float[3];
|
|
array[0] = vector.X;
|
|
array[1] = vector.Y;
|
|
array[2] = vector.Z;
|
|
return array;
|
|
}
|
|
/// <summary>
|
|
/// Converts the vector to a <see cref="System.Collections.Generic.List"/> of single-precision floating point values.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A <see cref="System.Collections.Generic.List"/> of single-precision floating point values.</returns>
|
|
public static explicit operator List<float>(Vector3 vector)
|
|
{
|
|
List<float> list = new List<float>(3);
|
|
list.Add(vector.X);
|
|
list.Add(vector.Y);
|
|
list.Add(vector.Z);
|
|
|
|
return list;
|
|
}
|
|
/// <summary>
|
|
/// Converts the vector to a <see cref="System.Collections.Generic.LinkedList"/> of single-precision floating point values.
|
|
/// </summary>
|
|
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
|
|
/// <returns>A <see cref="System.Collections.Generic.LinkedList"/> of single-precision floating point values.</returns>
|
|
public static explicit operator LinkedList<float>(Vector3 vector)
|
|
{
|
|
LinkedList<float> list = new LinkedList<float>();
|
|
list.AddLast(vector.X);
|
|
list.AddLast(vector.Y);
|
|
list.AddLast(vector.Z);
|
|
|
|
return list;
|
|
}
|
|
#endregion
|
|
|
|
public float magnitude()
|
|
{
|
|
return (float)Math.Sqrt(X * X + Y * Y + Z * Z);
|
|
}
|
|
public float dot(Vector3 rkVector)
|
|
{
|
|
return X * rkVector.X + Y * rkVector.Y + Z * rkVector.Z;
|
|
}
|
|
|
|
public Vector3 cross(Vector3 rkVector)
|
|
{
|
|
return new Vector3(Y * rkVector.Z - Z * rkVector.Y, Z * rkVector.X - X * rkVector.Z,
|
|
X * rkVector.Y - Y * rkVector.X);
|
|
}
|
|
|
|
public Vector3 Min(Vector3 v)
|
|
{
|
|
return new Vector3(Math.Min(v.X, X), Math.Min(v.Y, Y), Math.Min(v.Z, Z));
|
|
}
|
|
|
|
public Vector3 Max(Vector3 v)
|
|
{
|
|
return new Vector3(Math.Max(v.X, X), Math.Max(v.Y, Y), Math.Max(v.Z, Z));
|
|
}
|
|
|
|
public Axis primaryAxis()
|
|
{
|
|
Axis a = Axis.X;
|
|
|
|
double nx = Math.Abs(X);
|
|
double ny = Math.Abs(Y);
|
|
double nz = Math.Abs(Z);
|
|
|
|
if (nx > ny)
|
|
{
|
|
if (nx > nz)
|
|
a = Axis.X;
|
|
else
|
|
a = Axis.Z;
|
|
}
|
|
else
|
|
{
|
|
if (ny > nz)
|
|
a = Axis.Y;
|
|
else
|
|
a = Axis.Z;
|
|
}
|
|
|
|
return a;
|
|
}
|
|
|
|
public enum Axis { X = 0, Y = 1, Z = 2, Detect = -1 };
|
|
|
|
public Vector3 lerp(Vector3 v, float alpha)
|
|
{
|
|
return (this) + (v - this) * alpha;
|
|
}
|
|
|
|
/// <summary>
|
|
///
|
|
/// </summary>
|
|
/// <returns>Vector3.Zero if the length is nearly zero, otherwise returns a unit vector</returns>
|
|
public Vector3 directionOrZero()
|
|
{
|
|
float mag = magnitude();
|
|
if (mag < 0.0000001f)
|
|
{
|
|
return Zero;
|
|
}
|
|
else if (mag < 1.00001f && mag > 0.99999f)
|
|
{
|
|
return this;
|
|
}
|
|
else
|
|
{
|
|
return this * (1.0f / mag);
|
|
}
|
|
}
|
|
}
|
|
|
|
#region Vector3Converter class
|
|
/// <summary>
|
|
/// Converts a <see cref="Vector3"/> to and from string representation.
|
|
/// </summary>
|
|
public class Vector3Converter : ExpandableObjectConverter
|
|
{
|
|
/// <summary>
|
|
/// Returns whether this converter can convert an object of the given type to the type of this converter, using the specified context.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
|
|
/// <param name="sourceType">A <see cref="Type"/> that represents the type you want to convert from.</param>
|
|
/// <returns><b>true</b> if this converter can perform the conversion; otherwise, <b>false</b>.</returns>
|
|
public override bool CanConvertFrom(ITypeDescriptorContext context, Type sourceType)
|
|
{
|
|
if (sourceType == typeof(string))
|
|
return true;
|
|
|
|
return base.CanConvertFrom(context, sourceType);
|
|
}
|
|
/// <summary>
|
|
/// Returns whether this converter can convert the object to the specified type, using the specified context.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
|
|
/// <param name="destinationType">A <see cref="Type"/> that represents the type you want to convert to.</param>
|
|
/// <returns><b>true</b> if this converter can perform the conversion; otherwise, <b>false</b>.</returns>
|
|
public override bool CanConvertTo(ITypeDescriptorContext context, Type destinationType)
|
|
{
|
|
if (destinationType == typeof(string))
|
|
return true;
|
|
|
|
return base.CanConvertTo(context, destinationType);
|
|
}
|
|
/// <summary>
|
|
/// Converts the given value object to the specified type, using the specified context and culture information.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
|
|
/// <param name="culture">A <see cref="System.Globalization.CultureInfo"/> object. If a null reference (Nothing in Visual Basic) is passed, the current culture is assumed.</param>
|
|
/// <param name="value">The <see cref="Object"/> to convert.</param>
|
|
/// <param name="destinationType">The Type to convert the <paramref name="value"/> parameter to.</param>
|
|
/// <returns>An <see cref="Object"/> that represents the converted value.</returns>
|
|
public override object ConvertTo(ITypeDescriptorContext context, System.Globalization.CultureInfo culture, object value, Type destinationType)
|
|
{
|
|
if ((destinationType == typeof(string)) && (value is Vector3))
|
|
{
|
|
Vector3 v = (Vector3)value;
|
|
return v.ToString();
|
|
}
|
|
|
|
return base.ConvertTo(context, culture, value, destinationType);
|
|
}
|
|
/// <summary>
|
|
/// Converts the given object to the type of this converter, using the specified context and culture information.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
|
|
/// <param name="culture">The <see cref="System.Globalization.CultureInfo"/> to use as the current culture. </param>
|
|
/// <param name="value">The <see cref="Object"/> to convert.</param>
|
|
/// <returns>An <see cref="Object"/> that represents the converted value.</returns>
|
|
/// <exception cref="ParseException">Failed parsing from string.</exception>
|
|
public override object ConvertFrom(ITypeDescriptorContext context, System.Globalization.CultureInfo culture, object value)
|
|
{
|
|
if (value.GetType() == typeof(string))
|
|
{
|
|
return Vector3.Parse((string)value);
|
|
}
|
|
|
|
return base.ConvertFrom(context, culture, value);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns whether this object supports a standard set of values that can be picked from a list.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context.</param>
|
|
/// <returns><b>true</b> if <see cref="GetStandardValues"/> should be called to find a common set of values the object supports; otherwise, <b>false</b>.</returns>
|
|
public override bool GetStandardValuesSupported(ITypeDescriptorContext context)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a collection of standard values for the data type this type converter is designed for when provided with a format context.
|
|
/// </summary>
|
|
/// <param name="context">An <see cref="ITypeDescriptorContext"/> that provides a format context that can be used to extract additional information about the environment from which this converter is invoked. This parameter or properties of this parameter can be a null reference.</param>
|
|
/// <returns>A <see cref="TypeConverter.StandardValuesCollection"/> that holds a standard set of valid values, or a null reference (Nothing in Visual Basic) if the data type does not support a standard set of values.</returns>
|
|
public override System.ComponentModel.TypeConverter.StandardValuesCollection GetStandardValues(ITypeDescriptorContext context)
|
|
{
|
|
StandardValuesCollection svc =
|
|
new StandardValuesCollection(new object[4] { Vector3.Zero, Vector3.XAxis, Vector3.YAxis, Vector3.ZAxis });
|
|
|
|
return svc;
|
|
}
|
|
}
|
|
#endregion
|
|
}
|