1818 lines
82 KiB
C#
1818 lines
82 KiB
C#
// Copyright (c) Wojciech Figat. All rights reserved.
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#if USE_LARGE_WORLDS
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using Real = System.Double;
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using Mathr = FlaxEngine.Mathd;
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#else
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using Real = System.Single;
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using Mathr = FlaxEngine.Mathf;
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#endif
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// -----------------------------------------------------------------------------
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// Original code from SharpDX project. https://github.com/sharpdx/SharpDX/
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// Greetings to Alexandre Mutel. Original code published with the following license:
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// -----------------------------------------------------------------------------
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// Copyright (c) 2010-2014 SharpDX - Alexandre Mutel
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in
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// all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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// THE SOFTWARE.
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// -----------------------------------------------------------------------------
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// Original code from SlimMath project. http://code.google.com/p/slimmath/
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// Greetings to SlimDX Group. Original code published with the following license:
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// -----------------------------------------------------------------------------
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/*
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* Copyright (c) 2007-2011 SlimDX Group
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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using System;
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using System.Globalization;
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using System.ComponentModel;
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using System.Runtime.CompilerServices;
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using System.Runtime.InteropServices;
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namespace FlaxEngine
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{
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/// <summary>
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/// Represents a two dimensional mathematical vector.
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/// </summary>
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[Unmanaged]
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[Serializable]
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[StructLayout(LayoutKind.Sequential)]
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#if FLAX_EDITOR
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[System.ComponentModel.TypeConverter(typeof(TypeConverters.Vector2Converter))]
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#endif
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public unsafe partial struct Vector2 : IEquatable<Vector2>, IFormattable
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{
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private static readonly string _formatString = "X:{0:F2} Y:{1:F2}";
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/// <summary>
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/// The X component.
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/// </summary>
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public Real X;
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/// <summary>
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/// The Y component.
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/// </summary>
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public Real Y;
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/// <summary>
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/// The size of the <see cref="Vector2" /> type, in bytes.
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/// </summary>
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public static readonly int SizeInBytes = Marshal.SizeOf(typeof(Vector2));
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/// <summary>
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/// A <see cref="Vector2" /> with all of its components set to zero.
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/// </summary>
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public static readonly Vector2 Zero;
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/// <summary>
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/// The X unit <see cref="Vector2" /> (1, 0).
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/// </summary>
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public static readonly Vector2 UnitX = new Vector2(1.0f, 0.0f);
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/// <summary>
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/// The Y unit <see cref="Vector2" /> (0, 1).
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/// </summary>
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public static readonly Vector2 UnitY = new Vector2(0.0f, 1.0f);
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/// <summary>
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/// A <see cref="Vector2" /> with all of its components set to half.
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/// </summary>
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public static readonly Vector2 Half = new Vector2(0.5f, 0.5f);
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/// <summary>
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/// A <see cref="Vector2" /> with all of its components set to one.
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/// </summary>
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public static readonly Vector2 One = new Vector2(1.0f, 1.0f);
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/// <summary>
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/// A <see cref="Vector2" /> with all components equal to <see cref="double.MinValue"/> (or <see cref="float.MinValue"/> if using 32-bit precision).
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/// </summary>
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public static readonly Vector2 Minimum = new Vector2(Real.MinValue);
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/// <summary>
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/// A <see cref="Vector2" /> with all components equal to <see cref="double.MaxValue"/> (or <see cref="float.MaxValue"/> if using 32-bit precision).
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/// </summary>
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public static readonly Vector2 Maximum = new Vector2(Real.MaxValue);
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="value">The value that will be assigned to all components.</param>
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public Vector2(float value)
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{
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X = value;
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Y = value;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="x">Initial value for the X component of the vector.</param>
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/// <param name="y">Initial value for the Y component of the vector.</param>
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public Vector2(float x, float y)
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{
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X = x;
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Y = y;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="value">The value that will be assigned to all components.</param>
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public Vector2(double value)
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{
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X = Y = (Real)value;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="x">Initial value for the X component of the vector.</param>
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/// <param name="y">Initial value for the Y component of the vector.</param>
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public Vector2(double x, double y)
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{
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X = (Real)x;
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Y = (Real)y;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="value">A vector containing the values with which to initialize the X and Y components.</param>
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public Vector2(Vector3 value)
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{
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X = value.X;
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Y = value.Y;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="value">A vector containing the values with which to initialize the X and Y components.</param>
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public Vector2(Vector4 value)
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{
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X = value.X;
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Y = value.Y;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref="Vector2" /> struct.
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/// </summary>
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/// <param name="values">The values to assign to the X and Y components of the vector. This must be an array with two elements.</param>
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/// <exception cref="ArgumentNullException">Thrown when <paramref name="values" /> is <c>null</c>.</exception>
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/// <exception cref="ArgumentOutOfRangeException">Thrown when <paramref name="values" /> contains more or less than two elements.</exception>
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public Vector2(Real[] values)
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{
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if (values == null)
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throw new ArgumentNullException(nameof(values));
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if (values.Length != 2)
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throw new ArgumentOutOfRangeException(nameof(values), "There must be two and only two input values for Vector2.");
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X = values[0];
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Y = values[1];
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}
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/// <summary>
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/// Gets a value indicting whether this instance is normalized.
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/// </summary>
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public bool IsNormalized => Mathr.Abs((X * X + Y * Y) - 1.0f) < 1e-4f;
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/// <summary>
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/// Gets a value indicting whether this vector is zero
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/// </summary>
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public bool IsZero => Mathr.IsZero(X) && Mathr.IsZero(Y);
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/// <summary>
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/// Gets a minimum component value
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/// </summary>
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public Real MinValue => Mathr.Min(X, Y);
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/// <summary>
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/// Gets a maximum component value
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/// </summary>
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public Real MaxValue => Mathr.Max(X, Y);
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/// <summary>
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/// Gets an arithmetic average value of all vector components.
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/// </summary>
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public Real AvgValue => (X + Y) * (1.0f / 2.0f);
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/// <summary>
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/// Gets a sum of the component values.
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/// </summary>
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public Real ValuesSum => X + Y;
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/// <summary>
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/// Gets a vector with values being absolute values of that vector.
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/// </summary>
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public Vector2 Absolute => new Vector2(Mathr.Abs(X), Mathr.Abs(Y));
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/// <summary>
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/// Gets a vector with values being opposite to values of that vector.
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/// </summary>
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public Vector2 Negative => new Vector2(-X, -Y);
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/// <summary>
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/// Gets or sets the component at the specified index.
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/// </summary>
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/// <value>The value of the X or Y component, depending on the index.</value>
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/// <param name="index">The index of the component to access. Use 0 for the X component and 1 for the Y component.</param>
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/// <returns>The value of the component at the specified index.</returns>
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/// <exception cref="System.ArgumentOutOfRangeException">Thrown when the <paramref name="index" /> is out of the range [0,1].</exception>
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public Real this[int index]
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{
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get
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{
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switch (index)
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{
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case 0: return X;
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case 1: return Y;
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}
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throw new ArgumentOutOfRangeException(nameof(index), "Indices for Vector2 run from 0 to 1, inclusive.");
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}
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set
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{
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switch (index)
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{
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case 0:
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X = value;
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break;
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case 1:
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Y = value;
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break;
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default: throw new ArgumentOutOfRangeException(nameof(index), "Indices for Vector2 run from 0 to 1, inclusive.");
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}
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}
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}
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/// <summary>
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/// Calculates the length of the vector.
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/// </summary>
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/// <returns>The length of the vector.</returns>
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/// <remarks><see cref="Vector2.LengthSquared" /> may be preferred when only the relative length is needed and speed is of the essence.</remarks>
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public Real Length => (Real)Math.Sqrt(X * X + Y * Y);
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/// <summary>
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/// Calculates the squared length of the vector.
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/// </summary>
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/// <returns>The squared length of the vector.</returns>
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/// <remarks>This method may be preferred to <see cref="Vector2.Length" /> when only a relative length is needed and speed is of the essence.</remarks>
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public Real LengthSquared => X * X + Y * Y;
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/// <summary>
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/// Converts the vector into a unit vector.
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/// </summary>
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public void Normalize()
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{
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Real length = (Real)Math.Sqrt(X * X + Y * Y);
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if (length >= Mathr.Epsilon)
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{
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Real inv = 1.0f / length;
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X *= inv;
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Y *= inv;
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}
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}
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/// <summary>
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/// Gets the normalized vector. Returned vector has length equal 1.
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/// </summary>
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public Vector2 Normalized
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{
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get
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{
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Vector2 result = this;
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result.Normalize();
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return result;
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}
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}
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/// <summary>
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/// Creates an array containing the elements of the vector.
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/// </summary>
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public Real[] ToArray()
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{
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return new[] { X, Y };
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}
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/// <summary>
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/// Adds two vectors.
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/// </summary>
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/// <param name="left">The first vector to add.</param>
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/// <param name="right">The second vector to add.</param>
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/// <param name="result">When the method completes, contains the sum of the two vectors.</param>
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public static void Add(ref Vector2 left, ref Vector2 right, out Vector2 result)
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{
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result = new Vector2(left.X + right.X, left.Y + right.Y);
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}
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/// <summary>
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/// Adds two vectors.
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/// </summary>
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/// <param name="left">The first vector to add.</param>
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/// <param name="right">The second vector to add.</param>
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/// <returns>The sum of the two vectors.</returns>
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public static Vector2 Add(Vector2 left, Vector2 right)
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{
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return new Vector2(left.X + right.X, left.Y + right.Y);
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}
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/// <summary>
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/// Performs a component-wise addition.
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/// </summary>
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/// <param name="left">The input vector</param>
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/// <param name="right">The scalar value to be added to elements</param>
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/// <param name="result">The vector with added scalar for each element.</param>
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public static void Add(ref Vector2 left, ref float right, out Vector2 result)
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{
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result = new Vector2(left.X + right, left.Y + right);
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}
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/// <summary>
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/// Performs a component-wise addition.
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/// </summary>
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/// <param name="left">The input vector</param>
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/// <param name="right">The scalar value to be added to elements</param>
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/// <returns>The vector with added scalar for each element.</returns>
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public static Vector2 Add(Vector2 left, float right)
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{
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return new Vector2(left.X + right, left.Y + right);
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}
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/// <summary>
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/// Subtracts two vectors.
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/// </summary>
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/// <param name="left">The first vector to subtract.</param>
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/// <param name="right">The second vector to subtract.</param>
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/// <param name="result">When the method completes, contains the difference of the two vectors.</param>
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public static void Subtract(ref Vector2 left, ref Vector2 right, out Vector2 result)
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{
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result = new Vector2(left.X - right.X, left.Y - right.Y);
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}
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/// <summary>
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/// Subtracts two vectors.
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/// </summary>
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/// <param name="left">The first vector to subtract.</param>
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/// <param name="right">The second vector to subtract.</param>
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/// <returns>The difference of the two vectors.</returns>
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public static Vector2 Subtract(Vector2 left, Vector2 right)
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{
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return new Vector2(left.X - right.X, left.Y - right.Y);
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}
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/// <summary>
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/// Performs a component-wise subtraction.
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/// </summary>
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/// <param name="left">The input vector</param>
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/// <param name="right">The scalar value to be subtracted from elements</param>
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/// <param name="result">The vector with subtracted scalar for each element.</param>
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public static void Subtract(ref Vector2 left, ref float right, out Vector2 result)
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{
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result = new Vector2(left.X - right, left.Y - right);
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}
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/// <summary>
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/// Performs a component-wise subtraction.
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/// </summary>
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/// <param name="left">The input vector</param>
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/// <param name="right">The scalar value to be subtracted from elements</param>
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/// <returns>The vector with subtracted scalar for each element.</returns>
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public static Vector2 Subtract(Vector2 left, float right)
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{
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return new Vector2(left.X - right, left.Y - right);
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}
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/// <summary>
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/// Performs a component-wise subtraction.
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/// </summary>
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/// <param name="left">The scalar value to be subtracted from elements</param>
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/// <param name="right">The input vector</param>
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/// <param name="result">The vector with subtracted scalar for each element.</param>
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public static void Subtract(ref float left, ref Vector2 right, out Vector2 result)
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{
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result = new Vector2(left - right.X, left - right.Y);
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}
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/// <summary>
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/// Performs a component-wise subtraction.
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/// </summary>
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/// <param name="left">The scalar value to be subtracted from elements</param>
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/// <param name="right">The input vector</param>
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/// <returns>The vector with subtracted scalar for each element.</returns>
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public static Vector2 Subtract(float left, Vector2 right)
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{
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return new Vector2(left - right.X, left - right.Y);
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}
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/// <summary>
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/// Scales a vector by the given value.
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/// </summary>
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/// <param name="value">The vector to scale.</param>
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/// <param name="scale">The amount by which to scale the vector.</param>
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/// <param name="result">When the method completes, contains the scaled vector.</param>
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public static void Multiply(ref Vector2 value, float scale, out Vector2 result)
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{
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result = new Vector2(value.X * scale, value.Y * scale);
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}
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/// <summary>
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/// Scales a vector by the given value.
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/// </summary>
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/// <param name="value">The vector to scale.</param>
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/// <param name="scale">The amount by which to scale the vector.</param>
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/// <returns>The scaled vector.</returns>
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public static Vector2 Multiply(Vector2 value, float scale)
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{
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return new Vector2(value.X * scale, value.Y * scale);
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}
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/// <summary>
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/// Multiplies a vector with another by performing component-wise multiplication.
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/// </summary>
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/// <param name="left">The first vector to multiply.</param>
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/// <param name="right">The second vector to multiply.</param>
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/// <param name="result">When the method completes, contains the multiplied vector.</param>
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public static void Multiply(ref Vector2 left, ref Vector2 right, out Vector2 result)
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{
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result = new Vector2(left.X * right.X, left.Y * right.Y);
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}
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/// <summary>
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/// Multiplies a vector with another by performing component-wise multiplication.
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/// </summary>
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/// <param name="left">The first vector to multiply.</param>
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/// <param name="right">The second vector to multiply.</param>
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/// <returns>The multiplied vector.</returns>
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public static Vector2 Multiply(Vector2 left, Vector2 right)
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{
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return new Vector2(left.X * right.X, left.Y * right.Y);
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}
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/// <summary>
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/// Scales a vector by the given value.
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/// </summary>
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/// <param name="value">The vector to scale.</param>
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/// <param name="scale">The amount by which to scale the vector.</param>
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/// <param name="result">When the method completes, contains the scaled vector.</param>
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public static void Divide(ref Vector2 value, float scale, out Vector2 result)
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{
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result = new Vector2(value.X / scale, value.Y / scale);
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}
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/// <summary>
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/// Scales a vector by the given value.
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/// </summary>
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/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 Divide(Vector2 value, float scale)
|
|
{
|
|
return new Vector2(value.X / scale, value.Y / scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="result">When the method completes, contains the scaled vector.</param>
|
|
public static void Divide(float scale, ref Vector2 value, out Vector2 result)
|
|
{
|
|
result = new Vector2(scale / value.X, scale / value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 Divide(float scale, Vector2 value)
|
|
{
|
|
return new Vector2(scale / value.X, scale / value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <param name="result">When the method completes, contains a vector facing in the opposite direction.</param>
|
|
public static void Negate(ref Vector2 value, out Vector2 result)
|
|
{
|
|
result = new Vector2(-value.X, -value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <returns>A vector facing in the opposite direction.</returns>
|
|
public static Vector2 Negate(Vector2 value)
|
|
{
|
|
return new Vector2(-value.X, -value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="Vector2" /> containing the 2D Cartesian coordinates of a point specified in Barycentric
|
|
/// coordinates relative to a 2D triangle.
|
|
/// </summary>
|
|
/// <param name="value1">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 1 of the triangle.</param>
|
|
/// <param name="value2">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 2 of the triangle.</param>
|
|
/// <param name="value3">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 3 of the triangle.</param>
|
|
/// <param name="amount1">Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in <paramref name="value2" />).</param>
|
|
/// <param name="amount2">Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in <paramref name="value3" />).</param>
|
|
/// <param name="result">When the method completes, contains the 2D Cartesian coordinates of the specified point.</param>
|
|
public static void Barycentric(ref Vector2 value1, ref Vector2 value2, ref Vector2 value3, float amount1, float amount2, out Vector2 result)
|
|
{
|
|
result = new Vector2(value1.X + amount1 * (value2.X - value1.X) + amount2 * (value3.X - value1.X),
|
|
value1.Y + amount1 * (value2.Y - value1.Y) + amount2 * (value3.Y - value1.Y));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="Vector2" /> containing the 2D Cartesian coordinates of a point specified in Barycentric
|
|
/// coordinates relative to a 2D triangle.
|
|
/// </summary>
|
|
/// <param name="value1">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 1 of the triangle.</param>
|
|
/// <param name="value2">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 2 of the triangle.</param>
|
|
/// <param name="value3">A <see cref="Vector2" /> containing the 2D Cartesian coordinates of vertex 3 of the triangle.</param>
|
|
/// <param name="amount1">Barycentric coordinate b2, which expresses the weighting factor toward vertex 2 (specified in <paramref name="value2" />).</param>
|
|
/// <param name="amount2">Barycentric coordinate b3, which expresses the weighting factor toward vertex 3 (specified in <paramref name="value3" />).</param>
|
|
/// <returns>A new <see cref="Vector2" /> containing the 2D Cartesian coordinates of the specified point.</returns>
|
|
public static Vector2 Barycentric(Vector2 value1, Vector2 value2, Vector2 value3, float amount1, float amount2)
|
|
{
|
|
Barycentric(ref value1, ref value2, ref value3, amount1, amount2, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Restricts a value to be within a specified range.
|
|
/// </summary>
|
|
/// <param name="value">The value to clamp.</param>
|
|
/// <param name="min">The minimum value.</param>
|
|
/// <param name="max">The maximum value.</param>
|
|
/// <param name="result">When the method completes, contains the clamped value.</param>
|
|
public static void Clamp(ref Vector2 value, ref Vector2 min, ref Vector2 max, out Vector2 result)
|
|
{
|
|
Real x = value.X;
|
|
x = x > max.X ? max.X : x;
|
|
x = x < min.X ? min.X : x;
|
|
Real y = value.Y;
|
|
y = y > max.Y ? max.Y : y;
|
|
y = y < min.Y ? min.Y : y;
|
|
result = new Vector2(x, y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Restricts a value to be within a specified range.
|
|
/// </summary>
|
|
/// <param name="value">The value to clamp.</param>
|
|
/// <param name="min">The minimum value.</param>
|
|
/// <param name="max">The maximum value.</param>
|
|
/// <returns>The clamped value.</returns>
|
|
public static Vector2 Clamp(Vector2 value, Vector2 min, Vector2 max)
|
|
{
|
|
Clamp(ref value, ref min, ref max, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Saturates this instance in the range [0,1].
|
|
/// </summary>
|
|
public void Saturate()
|
|
{
|
|
X = X < 0.0f ? 0.0f : X > 1.0f ? 1.0f : X;
|
|
Y = Y < 0.0f ? 0.0f : Y > 1.0f ? 1.0f : Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the area of the triangle.
|
|
/// </summary>
|
|
/// <param name="v0">The first triangle vertex.</param>
|
|
/// <param name="v1">The second triangle vertex.</param>
|
|
/// <param name="v2">The third triangle vertex.</param>
|
|
/// <returns>The triangle area.</returns>
|
|
public static Real TriangleArea(ref Vector2 v0, ref Vector2 v1, ref Vector2 v2)
|
|
{
|
|
return Math.Abs((v0.X * (v1.Y - v2.Y) + v1.X * (v2.Y - v0.Y) + v2.X * (v0.Y - v1.Y)) / 2);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector.</param>
|
|
/// <param name="result">When the method completes, contains the distance between the two vectors.</param>
|
|
/// <remarks><see cref="Vector2.DistanceSquared(ref Vector2, ref Vector2, out Real)" /> may be preferred when only the relative distance is needed and speed is of the essence.</remarks>
|
|
public static void Distance(ref Vector2 value1, ref Vector2 value2, out Real result)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
result = (Real)Math.Sqrt(x * x + y * y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector.</param>
|
|
/// <returns>The distance between the two vectors.</returns>
|
|
/// <remarks><see cref="Vector2.DistanceSquared(Vector2, Vector2)" /> may be preferred when only the relative distance is needed and speed is of the essence.</remarks>
|
|
public static Real Distance(Vector2 value1, Vector2 value2)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
return (Real)Math.Sqrt(x * x + y * y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector.</param>
|
|
/// <returns>The distance between the two vectors.</returns>
|
|
/// <remarks><see cref="Vector2.DistanceSquared(ref Vector2, ref Vector2, out Real)" /> may be preferred when only the relative distance is needed and speed is of the essence.</remarks>
|
|
public static Real Distance(ref Vector2 value1, ref Vector2 value2)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
return (Real)Math.Sqrt(x * x + y * y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the squared distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector</param>
|
|
/// <param name="result">When the method completes, contains the squared distance between the two vectors.</param>
|
|
public static void DistanceSquared(ref Vector2 value1, ref Vector2 value2, out Real result)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
result = x * x + y * y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the squared distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector</param>
|
|
/// <returns>The squared distance between the two vectors.</returns>
|
|
public static Real DistanceSquared(ref Vector2 value1, ref Vector2 value2)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
return x * x + y * y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the squared distance between two vectors.
|
|
/// </summary>
|
|
/// <param name="value1">The first vector.</param>
|
|
/// <param name="value2">The second vector.</param>
|
|
/// <returns>The squared distance between the two vectors.</returns>
|
|
public static Real DistanceSquared(Vector2 value1, Vector2 value2)
|
|
{
|
|
Real x = value1.X - value2.X;
|
|
Real y = value1.Y - value2.Y;
|
|
return x * x + y * y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests whether one vector is near another vector.
|
|
/// </summary>
|
|
/// <param name="left">The left vector.</param>
|
|
/// <param name="right">The right vector.</param>
|
|
/// <param name="epsilon">The epsilon.</param>
|
|
/// <returns><c>true</c> if left and right are near, <c>false</c> otherwise</returns>
|
|
public static bool NearEqual(Vector2 left, Vector2 right, float epsilon = Mathf.Epsilon)
|
|
{
|
|
return NearEqual(ref left, ref right, epsilon);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests whether one vector is near another vector.
|
|
/// </summary>
|
|
/// <param name="left">The left vector.</param>
|
|
/// <param name="right">The right vector.</param>
|
|
/// <param name="epsilon">The epsilon.</param>
|
|
/// <returns><c>true</c> if left and right are near another, <c>false</c> otherwise</returns>
|
|
public static bool NearEqual(ref Vector2 left, ref Vector2 right, float epsilon = Mathf.Epsilon)
|
|
{
|
|
return Mathf.WithinEpsilon(left.X, right.X, epsilon) && Mathf.WithinEpsilon(left.Y, right.Y, epsilon);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the dot product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <param name="result">When the method completes, contains the dot product of the two vectors.</param>
|
|
public static void Dot(ref Vector2 left, ref Vector2 right, out Real result)
|
|
{
|
|
result = left.X * right.X + left.Y * right.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the dot product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <returns>The dot product of the two vectors.</returns>
|
|
public static Real Dot(ref Vector2 left, ref Vector2 right)
|
|
{
|
|
return left.X * right.X + left.Y * right.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the dot product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <returns>The dot product of the two vectors.</returns>
|
|
public static Real Dot(Vector2 left, Vector2 right)
|
|
{
|
|
return left.X * right.X + left.Y * right.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the cross product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <param name="result">When the method completes, contains the cross product of the two vectors.</param>
|
|
public static void Cross(ref Vector2 left, ref Vector2 right, out Real result)
|
|
{
|
|
result = left.X * right.Y - left.Y * right.X;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the cross product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <returns>The cross product of the two vectors.</returns>
|
|
public static Real Cross(ref Vector2 left, ref Vector2 right)
|
|
{
|
|
return left.X * right.Y - left.Y * right.X;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the cross product of two vectors.
|
|
/// </summary>
|
|
/// <param name="left">First source vector.</param>
|
|
/// <param name="right">Second source vector.</param>
|
|
/// <returns>The cross product of the two vectors.</returns>
|
|
public static Real Cross(Vector2 left, Vector2 right)
|
|
{
|
|
return left.X * right.Y - left.Y * right.X;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Converts the vector into a unit vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to normalize.</param>
|
|
/// <param name="result">When the method completes, contains the normalized vector.</param>
|
|
public static void Normalize(ref Vector2 value, out Vector2 result)
|
|
{
|
|
result = value;
|
|
result.Normalize();
|
|
}
|
|
|
|
/// <summary>
|
|
/// Converts the vector into a unit vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to normalize.</param>
|
|
/// <returns>The normalized vector.</returns>
|
|
public static Vector2 Normalize(Vector2 value)
|
|
{
|
|
value.Normalize();
|
|
return value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Makes sure that Length of the output vector is always below max and above 0.
|
|
/// </summary>
|
|
/// <param name="vector">Input Vector.</param>
|
|
/// <param name="max">Max Length</param>
|
|
public static Vector2 ClampLength(Vector2 vector, Real max)
|
|
{
|
|
return ClampLength(vector, 0, max);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Makes sure that Length of the output vector is always below max and above min.
|
|
/// </summary>
|
|
/// <param name="vector">Input Vector.</param>
|
|
/// <param name="min">Min Length</param>
|
|
/// <param name="max">Max Length</param>
|
|
public static Vector2 ClampLength(Vector2 vector, Real min, Real max)
|
|
{
|
|
ClampLength(vector, min, max, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Makes sure that Length of the output vector is always below max and above min.
|
|
/// </summary>
|
|
/// <param name="vector">Input Vector.</param>
|
|
/// <param name="min">Min Length</param>
|
|
/// <param name="max">Max Length</param>
|
|
/// <param name="result">The result value.</param>
|
|
public static void ClampLength(Vector2 vector, Real min, Real max, out Vector2 result)
|
|
{
|
|
result = vector;
|
|
var lenSq = result.LengthSquared;
|
|
if (lenSq > max * max)
|
|
{
|
|
var scaleFactor = max / (Real)Math.Sqrt(lenSq);
|
|
result.X *= scaleFactor;
|
|
result.Y *= scaleFactor;
|
|
}
|
|
if (lenSq < min * min)
|
|
{
|
|
var scaleFactor = min / (Real)Math.Sqrt(lenSq);
|
|
result.X *= scaleFactor;
|
|
result.Y *= scaleFactor;
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the vector with components rounded to the nearest integer.
|
|
/// </summary>
|
|
/// <param name="v">The value.</param>
|
|
/// <returns>The result.</returns>
|
|
public static Vector2 Round(Vector2 v)
|
|
{
|
|
return new Vector2(Math.Round(v.X), Math.Round(v.Y));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the vector with components containing the smallest integer greater to or equal to the original value.
|
|
/// </summary>
|
|
/// <param name="v">The value.</param>
|
|
/// <returns>The result.</returns>
|
|
public static Vector2 Ceil(Vector2 v)
|
|
{
|
|
return new Vector2(Math.Ceiling(v.X), Math.Ceiling(v.Y));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Breaks the components of the vector into an integral and a fractional part. Returns vector made of fractional parts.
|
|
/// </summary>
|
|
/// <param name="v">The value.</param>
|
|
/// <returns>The result.</returns>
|
|
public static Vector2 Mod(Vector2 v)
|
|
{
|
|
return new Vector2(v.X - (int)v.X, v.Y - (int)v.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <param name="result">When the method completes, contains the linear interpolation of the two vectors.</param>
|
|
/// <remarks>Passing <paramref name="amount" /> a value of 0 will cause <paramref name="start" /> to be returned; a value of 1 will cause <paramref name="end" /> to be returned.</remarks>
|
|
public static void Lerp(ref Vector2 start, ref Vector2 end, float amount, out Vector2 result)
|
|
{
|
|
result.X = Mathr.Lerp(start.X, end.X, amount);
|
|
result.Y = Mathr.Lerp(start.Y, end.Y, amount);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <returns>The linear interpolation of the two vectors.</returns>
|
|
/// <remarks>Passing <paramref name="amount" /> a value of 0 will cause <paramref name="start" /> to be returned; a value of 1 will cause <paramref name="end" /> to be returned.</remarks>
|
|
public static Vector2 Lerp(Vector2 start, Vector2 end, float amount)
|
|
{
|
|
Lerp(ref start, ref end, amount, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <param name="result">When the method completes, contains the linear interpolation of the two vectors.</param>
|
|
/// <remarks>Passing <paramref name="amount" /> a value of 0 will cause <paramref name="start" /> to be returned; a value of 1 will cause <paramref name="end" /> to be returned.</remarks>
|
|
public static void Lerp(ref Vector2 start, ref Vector2 end, ref Vector2 amount, out Vector2 result)
|
|
{
|
|
result.X = Mathr.Lerp(start.X, end.X, amount.X);
|
|
result.Y = Mathr.Lerp(start.Y, end.Y, amount.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a linear interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <returns>The linear interpolation of the two vectors.</returns>
|
|
/// <remarks>Passing <paramref name="amount" /> a value of 0 will cause <paramref name="start" /> to be returned; a value of 1 will cause <paramref name="end" /> to be returned.</remarks>
|
|
public static Vector2 Lerp(Vector2 start, Vector2 end, Vector2 amount)
|
|
{
|
|
Lerp(ref start, ref end, ref amount, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a gradual change of a vector towards a specified target over time
|
|
/// </summary>
|
|
/// <param name="current">Current vector.</param>
|
|
/// <param name="target">Target vector.</param>
|
|
/// <param name="currentVelocity">Used to store the current velocity.</param>
|
|
/// <param name="smoothTime">Determines the approximate time it should take to reach the target vector.</param>
|
|
/// <param name="maxSpeed">Defines the upper limit on the speed of the Smooth Damp.</param>
|
|
public static Vector2 SmoothDamp(Vector2 current, Vector2 target, ref Vector2 currentVelocity, float smoothTime, float maxSpeed)
|
|
{
|
|
return SmoothDamp(current, target, ref currentVelocity, smoothTime, maxSpeed, Time.DeltaTime);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a gradual change of a vector towards a specified target over time
|
|
/// </summary>
|
|
/// <param name="current">Current vector.</param>
|
|
/// <param name="target">Target vector.</param>
|
|
/// <param name="currentVelocity">Used to store the current velocity.</param>
|
|
/// <param name="smoothTime">Determines the approximate time it should take to reach the target vector.</param>
|
|
public static Vector2 SmoothDamp(Vector2 current, Vector2 target, ref Vector2 currentVelocity, float smoothTime)
|
|
{
|
|
return SmoothDamp(current, target, ref currentVelocity, smoothTime, float.PositiveInfinity, Time.DeltaTime);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a gradual change of a vector towards a specified target over time
|
|
/// </summary>
|
|
/// <param name="current">Current vector.</param>
|
|
/// <param name="target">Target vector.</param>
|
|
/// <param name="currentVelocity">Used to store the current velocity.</param>
|
|
/// <param name="smoothTime">Determines the approximate time it should take to reach the target vector.</param>
|
|
/// <param name="maxSpeed">Defines the upper limit on the speed of the Smooth Damp.</param>
|
|
/// <param name="deltaTime">Delta Time, represents the time elapsed since last frame.</param>
|
|
public static Vector2 SmoothDamp(Vector2 current, Vector2 target, ref Vector2 currentVelocity, float smoothTime, [DefaultValue("float.PositiveInfinity")] float maxSpeed, [DefaultValue("Time.DeltaTime")] float deltaTime)
|
|
{
|
|
smoothTime = Mathf.Max(0.0001f, smoothTime);
|
|
Real a = 2f / smoothTime;
|
|
Real b = a * deltaTime;
|
|
Real e = 1f / (1f + b + 0.48f * b * b + 0.235f * b * b * b);
|
|
|
|
Real change_x = current.X - target.X;
|
|
Real change_y = current.Y - target.Y;
|
|
Vector2 originalTo = target;
|
|
|
|
Real maxChangeSpeed = maxSpeed * smoothTime;
|
|
Real changeSq = maxChangeSpeed * maxChangeSpeed;
|
|
Real sqrDist = change_x * change_x + change_y * change_y;
|
|
if (sqrDist > changeSq)
|
|
{
|
|
var dist = (Real)Math.Sqrt(sqrDist);
|
|
change_x = change_x / dist * maxChangeSpeed;
|
|
change_y = change_y / dist * maxChangeSpeed;
|
|
}
|
|
|
|
target.X = current.X - change_x;
|
|
target.Y = current.Y - change_y;
|
|
|
|
Real temp_x = (currentVelocity.X + a * change_x) * deltaTime;
|
|
Real temp_y = (currentVelocity.Y + a * change_y) * deltaTime;
|
|
|
|
currentVelocity.X = (currentVelocity.X - a * temp_x) * e;
|
|
currentVelocity.Y = (currentVelocity.Y - a * temp_y) * e;
|
|
|
|
Real output_x = target.X + (change_x + temp_x) * e;
|
|
Real output_y = target.Y + (change_y + temp_y) * e;
|
|
|
|
Real x1 = originalTo.X - current.X;
|
|
Real y1 = originalTo.Y - current.Y;
|
|
|
|
Real x2 = output_x - originalTo.X;
|
|
Real y2 = output_y - originalTo.Y;
|
|
|
|
if (x1 * x2 + y1 * y2 > 0)
|
|
{
|
|
output_x = originalTo.X;
|
|
output_y = originalTo.Y;
|
|
|
|
currentVelocity.X = (output_x - originalTo.X) / deltaTime;
|
|
currentVelocity.Y = (output_y - originalTo.Y) / deltaTime;
|
|
}
|
|
|
|
return new Vector2(output_x, output_y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a cubic interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <param name="result">When the method completes, contains the cubic interpolation of the two vectors.</param>
|
|
public static void SmoothStep(ref Vector2 start, ref Vector2 end, float amount, out Vector2 result)
|
|
{
|
|
amount = Mathf.SmoothStep(amount);
|
|
Lerp(ref start, ref end, amount, out result);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a cubic interpolation between two vectors.
|
|
/// </summary>
|
|
/// <param name="start">Start vector.</param>
|
|
/// <param name="end">End vector.</param>
|
|
/// <param name="amount">Value between 0 and 1 indicating the weight of <paramref name="end" />.</param>
|
|
/// <returns>The cubic interpolation of the two vectors.</returns>
|
|
public static Vector2 SmoothStep(Vector2 start, Vector2 end, float amount)
|
|
{
|
|
SmoothStep(ref start, ref end, amount, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a Hermite spline interpolation.
|
|
/// </summary>
|
|
/// <param name="value1">First source position vector.</param>
|
|
/// <param name="tangent1">First source tangent vector.</param>
|
|
/// <param name="value2">Second source position vector.</param>
|
|
/// <param name="tangent2">Second source tangent vector.</param>
|
|
/// <param name="amount">Weighting factor.</param>
|
|
/// <param name="result">When the method completes, contains the result of the Hermite spline interpolation.</param>
|
|
public static void Hermite(ref Vector2 value1, ref Vector2 tangent1, ref Vector2 value2, ref Vector2 tangent2, float amount, out Vector2 result)
|
|
{
|
|
float squared = amount * amount;
|
|
float cubed = amount * squared;
|
|
float part1 = 2.0f * cubed - 3.0f * squared + 1.0f;
|
|
float part2 = -2.0f * cubed + 3.0f * squared;
|
|
float part3 = cubed - 2.0f * squared + amount;
|
|
float part4 = cubed - squared;
|
|
result.X = value1.X * part1 + value2.X * part2 + tangent1.X * part3 + tangent2.X * part4;
|
|
result.Y = value1.Y * part1 + value2.Y * part2 + tangent1.Y * part3 + tangent2.Y * part4;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a Hermite spline interpolation.
|
|
/// </summary>
|
|
/// <param name="value1">First source position vector.</param>
|
|
/// <param name="tangent1">First source tangent vector.</param>
|
|
/// <param name="value2">Second source position vector.</param>
|
|
/// <param name="tangent2">Second source tangent vector.</param>
|
|
/// <param name="amount">Weighting factor.</param>
|
|
/// <returns>The result of the Hermite spline interpolation.</returns>
|
|
public static Vector2 Hermite(Vector2 value1, Vector2 tangent1, Vector2 value2, Vector2 tangent2, float amount)
|
|
{
|
|
Hermite(ref value1, ref tangent1, ref value2, ref tangent2, amount, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the 2D vector perpendicular to the given 2D vector. The result is always rotated 90-degrees in a counter-clockwise direction for a 2D coordinate system where the positive Y axis goes up.
|
|
/// </summary>
|
|
/// <param name="inDirection">The input direction.</param>
|
|
/// <returns>The result.</returns>
|
|
public static Vector2 Perpendicular(Vector2 inDirection)
|
|
{
|
|
return new Vector2(-inDirection.Y, inDirection.X);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculates the 2D vector perpendicular to the given 2D vector. The result is always rotated 90-degrees in a counter-clockwise direction for a 2D coordinate system where the positive Y axis goes up.
|
|
/// </summary>
|
|
/// <param name="inDirection">The in direction.</param>
|
|
/// <param name="result">When the method completes, contains the result of the calculation.</param>
|
|
public static void Perpendicular(ref Vector2 inDirection, out Vector2 result)
|
|
{
|
|
result = new Vector2(-inDirection.Y, inDirection.X);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a Catmull-Rom interpolation using the specified positions.
|
|
/// </summary>
|
|
/// <param name="value1">The first position in the interpolation.</param>
|
|
/// <param name="value2">The second position in the interpolation.</param>
|
|
/// <param name="value3">The third position in the interpolation.</param>
|
|
/// <param name="value4">The fourth position in the interpolation.</param>
|
|
/// <param name="amount">Weighting factor.</param>
|
|
/// <param name="result">When the method completes, contains the result of the Catmull-Rom interpolation.</param>
|
|
public static void CatmullRom(ref Vector2 value1, ref Vector2 value2, ref Vector2 value3, ref Vector2 value4, float amount, out Vector2 result)
|
|
{
|
|
float squared = amount * amount;
|
|
float cubed = amount * squared;
|
|
result.X = 0.5f * (2.0f * value2.X + (-value1.X + value3.X) * amount +
|
|
(2.0f * value1.X - 5.0f * value2.X + 4.0f * value3.X - value4.X) * squared +
|
|
(-value1.X + 3.0f * value2.X - 3.0f * value3.X + value4.X) * cubed);
|
|
result.Y = 0.5f * (2.0f * value2.Y + (-value1.Y + value3.Y) * amount +
|
|
(2.0f * value1.Y - 5.0f * value2.Y + 4.0f * value3.Y - value4.Y) * squared +
|
|
(-value1.Y + 3.0f * value2.Y - 3.0f * value3.Y + value4.Y) * cubed);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a Catmull-Rom interpolation using the specified positions.
|
|
/// </summary>
|
|
/// <param name="value1">The first position in the interpolation.</param>
|
|
/// <param name="value2">The second position in the interpolation.</param>
|
|
/// <param name="value3">The third position in the interpolation.</param>
|
|
/// <param name="value4">The fourth position in the interpolation.</param>
|
|
/// <param name="amount">Weighting factor.</param>
|
|
/// <returns>A vector that is the result of the Catmull-Rom interpolation.</returns>
|
|
public static Vector2 CatmullRom(Vector2 value1, Vector2 value2, Vector2 value3, Vector2 value4, float amount)
|
|
{
|
|
CatmullRom(ref value1, ref value2, ref value3, ref value4, amount, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the largest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <param name="result">When the method completes, contains an new vector composed of the largest components of the source vectors.</param>
|
|
public static void Max(ref Vector2 left, ref Vector2 right, out Vector2 result)
|
|
{
|
|
result.X = left.X > right.X ? left.X : right.X;
|
|
result.Y = left.Y > right.Y ? left.Y : right.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the largest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <returns>A vector containing the largest components of the source vectors.</returns>
|
|
public static Vector2 Max(Vector2 left, Vector2 right)
|
|
{
|
|
Max(ref left, ref right, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the smallest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <param name="result">When the method completes, contains an new vector composed of the smallest components of the source vectors.</param>
|
|
public static void Min(ref Vector2 left, ref Vector2 right, out Vector2 result)
|
|
{
|
|
result.X = left.X < right.X ? left.X : right.X;
|
|
result.Y = left.Y < right.Y ? left.Y : right.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a vector containing the smallest components of the specified vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first source vector.</param>
|
|
/// <param name="right">The second source vector.</param>
|
|
/// <returns>A vector containing the smallest components of the source vectors.</returns>
|
|
public static Vector2 Min(Vector2 left, Vector2 right)
|
|
{
|
|
Min(ref left, ref right, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the absolute value of a vector.
|
|
/// </summary>
|
|
/// <param name="v">The value.</param>
|
|
/// <returns> A vector which components are less or equal to 0.</returns>
|
|
public static Vector2 Abs(Vector2 v)
|
|
{
|
|
return new Vector2(Math.Abs(v.X), Math.Abs(v.Y));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the reflection of a vector off a surface that has the specified normal.
|
|
/// </summary>
|
|
/// <param name="vector">The source vector.</param>
|
|
/// <param name="normal">Normal of the surface.</param>
|
|
/// <param name="result">When the method completes, contains the reflected vector.</param>
|
|
/// <remarks>Reflect only gives the direction of a reflection off a surface, it does not determine whether the original vector was close enough to the surface to hit it.</remarks>
|
|
public static void Reflect(ref Vector2 vector, ref Vector2 normal, out Vector2 result)
|
|
{
|
|
var dot = vector.X * normal.X + vector.Y * normal.Y;
|
|
result.X = vector.X - 2.0f * dot * normal.X;
|
|
result.Y = vector.Y - 2.0f * dot * normal.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns the reflection of a vector off a surface that has the specified normal.
|
|
/// </summary>
|
|
/// <param name="vector">The source vector.</param>
|
|
/// <param name="normal">Normal of the surface.</param>
|
|
/// <returns>The reflected vector.</returns>
|
|
/// <remarks>Reflect only gives the direction of a reflection off a surface, it does not determine whether the original vector was close enough to the surface to hit it.</remarks>
|
|
public static Vector2 Reflect(Vector2 vector, Vector2 normal)
|
|
{
|
|
Reflect(ref vector, ref normal, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a 2D vector by the given <see cref="Quaternion" /> rotation.
|
|
/// </summary>
|
|
/// <param name="vector">The vector to rotate.</param>
|
|
/// <param name="rotation">The <see cref="Quaternion" /> rotation to apply.</param>
|
|
/// <param name="result">When the method completes, contains the transformed <see cref="Vector4" />.</param>
|
|
public static void Transform(ref Vector2 vector, ref Quaternion rotation, out Vector2 result)
|
|
{
|
|
float x = rotation.X + rotation.X;
|
|
float y = rotation.Y + rotation.Y;
|
|
float z = rotation.Z + rotation.Z;
|
|
float wz = rotation.W * z;
|
|
float xx = rotation.X * x;
|
|
float xy = rotation.X * y;
|
|
float yy = rotation.Y * y;
|
|
float zz = rotation.Z * z;
|
|
result = new Vector2(vector.X * (1.0f - yy - zz) + vector.Y * (xy - wz), vector.X * (xy + wz) + vector.Y * (1.0f - xx - zz));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a 2D vector by the given <see cref="Quaternion" /> rotation.
|
|
/// </summary>
|
|
/// <param name="vector">The vector to rotate.</param>
|
|
/// <param name="rotation">The <see cref="Quaternion" /> rotation to apply.</param>
|
|
/// <returns>The transformed <see cref="Vector4" />.</returns>
|
|
public static Vector2 Transform(Vector2 vector, Quaternion rotation)
|
|
{
|
|
Transform(ref vector, ref rotation, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a 2D vector by the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="vector">The source vector.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <param name="result">When the method completes, contains the transformed <see cref="Vector4" />.</param>
|
|
public static void Transform(ref Vector2 vector, ref Matrix transform, out Vector4 result)
|
|
{
|
|
result = new Vector4(vector.X * transform.M11 + vector.Y * transform.M21 + transform.M41,
|
|
vector.X * transform.M12 + vector.Y * transform.M22 + transform.M42,
|
|
vector.X * transform.M13 + vector.Y * transform.M23 + transform.M43,
|
|
vector.X * transform.M14 + vector.Y * transform.M24 + transform.M44);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Transforms a 2D vector by the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="vector">The source vector.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <returns>The transformed <see cref="Vector4" />.</returns>
|
|
public static Vector4 Transform(Vector2 vector, Matrix transform)
|
|
{
|
|
Transform(ref vector, ref transform, out Vector4 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a coordinate transformation using the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="coordinate">The coordinate vector to transform.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <param name="result">When the method completes, contains the transformed coordinates.</param>
|
|
/// <remarks>
|
|
/// A coordinate transform performs the transformation with the assumption that the w component
|
|
/// is one. The four dimensional vector obtained from the transformation operation has each
|
|
/// component in the vector divided by the w component. This forces the w component to be one and
|
|
/// therefore makes the vector homogeneous. The homogeneous vector is often preferred when working
|
|
/// with coordinates as the w component can safely be ignored.
|
|
/// </remarks>
|
|
public static void TransformCoordinate(ref Vector2 coordinate, ref Matrix transform, out Vector2 result)
|
|
{
|
|
var vector = new Vector4
|
|
{
|
|
X = coordinate.X * transform.M11 + coordinate.Y * transform.M21 + transform.M41,
|
|
Y = coordinate.X * transform.M12 + coordinate.Y * transform.M22 + transform.M42,
|
|
Z = coordinate.X * transform.M13 + coordinate.Y * transform.M23 + transform.M43,
|
|
W = 1f / (coordinate.X * transform.M14 + coordinate.Y * transform.M24 + transform.M44)
|
|
};
|
|
result = new Vector2(vector.X * vector.W, vector.Y * vector.W);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a coordinate transformation using the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="coordinate">The coordinate vector to transform.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <returns>The transformed coordinates.</returns>
|
|
/// <remarks>
|
|
/// A coordinate transform performs the transformation with the assumption that the w component
|
|
/// is one. The four dimensional vector obtained from the transformation operation has each
|
|
/// component in the vector divided by the w component. This forces the w component to be one and
|
|
/// therefore makes the vector homogeneous. The homogeneous vector is often preferred when working
|
|
/// with coordinates as the w component can safely be ignored.
|
|
/// </remarks>
|
|
public static Vector2 TransformCoordinate(Vector2 coordinate, Matrix transform)
|
|
{
|
|
TransformCoordinate(ref coordinate, ref transform, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a normal transformation using the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="normal">The normal vector to transform.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <param name="result">When the method completes, contains the transformed normal.</param>
|
|
/// <remarks>
|
|
/// A normal transform performs the transformation with the assumption that the w component
|
|
/// is zero. This causes the fourth row and fourth column of the matrix to be unused. The
|
|
/// end result is a vector that is not translated, but all other transformation properties
|
|
/// apply. This is often preferred for normal vectors as normals purely represent direction
|
|
/// rather than location because normal vectors should not be translated.
|
|
/// </remarks>
|
|
public static void TransformNormal(ref Vector2 normal, ref Matrix transform, out Vector2 result)
|
|
{
|
|
result = new Vector2(normal.X * transform.M11 + normal.Y * transform.M21,
|
|
normal.X * transform.M12 + normal.Y * transform.M22);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a normal transformation using the given <see cref="Matrix" />.
|
|
/// </summary>
|
|
/// <param name="normal">The normal vector to transform.</param>
|
|
/// <param name="transform">The transformation <see cref="Matrix" />.</param>
|
|
/// <returns>The transformed normal.</returns>
|
|
/// <remarks>
|
|
/// A normal transform performs the transformation with the assumption that the w component
|
|
/// is zero. This causes the fourth row and fourth column of the matrix to be unused. The
|
|
/// end result is a vector that is not translated, but all other transformation properties
|
|
/// apply. This is often preferred for normal vectors as normals purely represent direction
|
|
/// rather than location because normal vectors should not be translated.
|
|
/// </remarks>
|
|
public static Vector2 TransformNormal(Vector2 normal, Matrix transform)
|
|
{
|
|
TransformNormal(ref normal, ref transform, out Vector2 result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Snaps the input position into the grid.
|
|
/// </summary>
|
|
/// <param name="pos">The position to snap.</param>
|
|
/// <param name="gridSize">The size of the grid.</param>
|
|
/// <returns>The position snapped to the grid.</returns>
|
|
public static Vector2 SnapToGrid(Vector2 pos, Vector2 gridSize)
|
|
{
|
|
pos.X = Mathr.Ceil((pos.X - (gridSize.X * 0.5f)) / gridSize.Y) * gridSize.X;
|
|
pos.Y = Mathr.Ceil((pos.Y - (gridSize.Y * 0.5f)) / gridSize.X) * gridSize.Y;
|
|
return pos;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Vector2 operator +(Vector2 left, Vector2 right)
|
|
{
|
|
return new Vector2(left.X + right.X, left.Y + right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector with another by performing component-wise multiplication equivalent to <see cref="Multiply(ref Vector2,ref Vector2,out Vector2)" />.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to multiply.</param>
|
|
/// <param name="right">The second vector to multiply.</param>
|
|
/// <returns>The multiplication of the two vectors.</returns>
|
|
public static Vector2 operator *(Vector2 left, Vector2 right)
|
|
{
|
|
return new Vector2(left.X * right.X, left.Y * right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Assert a vector (return it unchanged).
|
|
/// </summary>
|
|
/// <param name="value">The vector to assert (unchanged).</param>
|
|
/// <returns>The asserted (unchanged) vector.</returns>
|
|
public static Vector2 operator +(Vector2 value)
|
|
{
|
|
return value;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two vectors.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to subtract.</param>
|
|
/// <param name="right">The second vector to subtract.</param>
|
|
/// <returns>The difference of the two vectors.</returns>
|
|
public static Vector2 operator -(Vector2 left, Vector2 right)
|
|
{
|
|
return new Vector2(left.X - right.X, left.Y - right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Reverses the direction of a given vector.
|
|
/// </summary>
|
|
/// <param name="value">The vector to negate.</param>
|
|
/// <returns>A vector facing in the opposite direction.</returns>
|
|
public static Vector2 operator -(Vector2 value)
|
|
{
|
|
return new Vector2(-value.X, -value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 operator *(Real scale, Vector2 value)
|
|
{
|
|
return new Vector2(value.X * scale, value.Y * scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 operator *(Vector2 value, Real scale)
|
|
{
|
|
return new Vector2(value.X * scale, value.Y * scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 operator /(Vector2 value, Real scale)
|
|
{
|
|
return new Vector2(value.X / scale, value.Y / scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 operator /(Real scale, Vector2 value)
|
|
{
|
|
return new Vector2(scale / value.X, scale / value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scales a vector by the given value.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The scaled vector.</returns>
|
|
public static Vector2 operator /(Vector2 value, Vector2 scale)
|
|
{
|
|
return new Vector2(value.X / scale.X, value.Y / scale.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Remainder of value divided by scale.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The remained vector.</returns>
|
|
public static Vector2 operator %(Vector2 value, Real scale)
|
|
{
|
|
return new Vector2(value.X % scale, value.Y % scale);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Remainder of value divided by scale.
|
|
/// </summary>
|
|
/// <param name="value">The amount by which to scale the vector.</param>
|
|
/// <param name="scale">The vector to scale.</param>
|
|
/// <returns>The remained vector.</returns>
|
|
public static Vector2 operator %(Real value, Vector2 scale)
|
|
{
|
|
return new Vector2(value % scale.X, value % scale.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Remainder of value divided by scale.
|
|
/// </summary>
|
|
/// <param name="value">The vector to scale.</param>
|
|
/// <param name="scale">The amount by which to scale the vector.</param>
|
|
/// <returns>The remained vector.</returns>
|
|
public static Vector2 operator %(Vector2 value, Vector2 scale)
|
|
{
|
|
return new Vector2(value.X % scale.X, value.Y % scale.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a component-wise addition.
|
|
/// </summary>
|
|
/// <param name="value">The input vector.</param>
|
|
/// <param name="scalar">The scalar value to be added on elements</param>
|
|
/// <returns>The vector with added scalar for each element.</returns>
|
|
public static Vector2 operator +(Vector2 value, Real scalar)
|
|
{
|
|
return new Vector2(value.X + scalar, value.Y + scalar);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a component-wise addition.
|
|
/// </summary>
|
|
/// <param name="value">The input vector.</param>
|
|
/// <param name="scalar">The scalar value to be added on elements</param>
|
|
/// <returns>The vector with added scalar for each element.</returns>
|
|
public static Vector2 operator +(Real scalar, Vector2 value)
|
|
{
|
|
return new Vector2(scalar + value.X, scalar + value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a component-wise subtraction.
|
|
/// </summary>
|
|
/// <param name="value">The input vector.</param>
|
|
/// <param name="scalar">The scalar value to be subtracted from elements</param>
|
|
/// <returns>The vector with subtracted scalar from each element.</returns>
|
|
public static Vector2 operator -(Vector2 value, Real scalar)
|
|
{
|
|
return new Vector2(value.X - scalar, value.Y - scalar);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs a component-wise subtraction.
|
|
/// </summary>
|
|
/// <param name="value">The input vector.</param>
|
|
/// <param name="scalar">The scalar value to be subtracted from elements</param>
|
|
/// <returns>The vector with subtracted scalar from each element.</returns>
|
|
public static Vector2 operator -(Real scalar, Vector2 value)
|
|
{
|
|
return new Vector2(scalar - value.X, scalar - value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds a vector to another by performing component-wise addition.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Float2 operator +(Float2 left, Vector2 right)
|
|
{
|
|
return new Float2(left.X + (float)right.X, left.Y + (float)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts a vector from another by performing component-wise subtraction.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Float2 operator -(Float2 left, Vector2 right)
|
|
{
|
|
return new Float2(left.X - (float)right.X, left.Y - (float)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector with another by performing component-wise multiplication.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to multiply.</param>
|
|
/// <param name="right">The second vector to multiply.</param>
|
|
/// <returns>The multiplication of the two vectors.</returns>
|
|
public static Float2 operator *(Float2 left, Vector2 right)
|
|
{
|
|
return new Float2(left.X * (float)right.X, left.Y * (float)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds a vector to another by performing component-wise addition.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Vector2 operator +(Vector2 left, Float2 right)
|
|
{
|
|
return new Vector2(left.X + (Real)right.X, left.Y + (Real)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts a vector from another by performing component-wise subtraction.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to add.</param>
|
|
/// <param name="right">The second vector to add.</param>
|
|
/// <returns>The sum of the two vectors.</returns>
|
|
public static Vector2 operator -(Vector2 left, Float2 right)
|
|
{
|
|
return new Vector2(left.X - (Real)right.X, left.Y - (Real)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies a vector with another by performing component-wise multiplication.
|
|
/// </summary>
|
|
/// <param name="left">The first vector to multiply.</param>
|
|
/// <param name="right">The second vector to multiply.</param>
|
|
/// <returns>The multiplication of the two vectors.</returns>
|
|
public static Vector2 operator *(Vector2 left, Float2 right)
|
|
{
|
|
return new Vector2(left.X * (Real)right.X, left.Y * (Real)right.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for equality between two objects.
|
|
/// </summary>
|
|
/// <param name="left">The first value to compare.</param>
|
|
/// <param name="right">The second value to compare.</param>
|
|
/// <returns><c>true</c> if <paramref name="left" /> has the same value as <paramref name="right" />; otherwise,<c>false</c>.</returns>
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static bool operator ==(Vector2 left, Vector2 right)
|
|
{
|
|
return left.Equals(ref right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Tests for inequality between two objects.
|
|
/// </summary>
|
|
/// <param name="left">The first value to compare.</param>
|
|
/// <param name="right">The second value to compare.</param>
|
|
/// <returns><c>true</c> if <paramref name="left" /> has a different value than <paramref name="right" />; otherwise,<c>false</c>.</returns>
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public static bool operator !=(Vector2 left, Vector2 right)
|
|
{
|
|
return !left.Equals(ref right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="Vector2" /> to <see cref="Float2" />.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator Float2(Vector2 value)
|
|
{
|
|
return new Float2((float)value.X, (float)value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="Vector2" /> to <see cref="Double2" />.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator Double2(Vector2 value)
|
|
{
|
|
return new Double2(value.X, value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Vector2" /> to <see cref="Int2" />.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Int2(Vector2 value)
|
|
{
|
|
return new Int2((int)value.X, (int)value.Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Vector2" /> to <see cref="Vector3" />.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vector3(Vector2 value)
|
|
{
|
|
return new Vector3(value, 0.0f);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref="Vector2" /> to <see cref="Vector4" />.
|
|
/// </summary>
|
|
/// <param name="value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vector4(Vector2 value)
|
|
{
|
|
return new Vector4(value, 0.0f, 0.0f);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="System.String" /> that represents this instance.
|
|
/// </summary>
|
|
/// <returns>A <see cref="System.String" /> that represents this instance.</returns>
|
|
public override string ToString()
|
|
{
|
|
return string.Format(CultureInfo.CurrentCulture, "X:{0} Y:{1}", X, Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="System.String" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="format">The format.</param>
|
|
/// <returns>A <see cref="System.String" /> that represents this instance.</returns>
|
|
public string ToString(string format)
|
|
{
|
|
if (format == null)
|
|
return ToString();
|
|
return string.Format(CultureInfo.CurrentCulture, _formatString, X.ToString(format, CultureInfo.CurrentCulture), Y.ToString(format, CultureInfo.CurrentCulture));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="System.String" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="formatProvider">The format provider.</param>
|
|
/// <returns>A <see cref="System.String" /> that represents this instance.</returns>
|
|
public string ToString(IFormatProvider formatProvider)
|
|
{
|
|
return string.Format(formatProvider, _formatString, X, Y);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref="System.String" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name="format">The format.</param>
|
|
/// <param name="formatProvider">The format provider.</param>
|
|
/// <returns>A <see cref="System.String" /> that represents this instance.</returns>
|
|
public string ToString(string format, IFormatProvider formatProvider)
|
|
{
|
|
if (format == null)
|
|
return ToString(formatProvider);
|
|
return string.Format(formatProvider, _formatString, X.ToString(format, formatProvider), Y.ToString(format, formatProvider));
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a hash code for this instance.
|
|
/// </summary>
|
|
public override int GetHashCode()
|
|
{
|
|
unchecked
|
|
{
|
|
return (X.GetHashCode() * 397) ^ Y.GetHashCode();
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="Vector2" /> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name="other">The <see cref="Vector2" /> to compare with this instance.</param>
|
|
/// <returns><c>true</c> if the specified <see cref="Vector2" /> is equal to this instance; otherwise, <c>false</c>.</returns>
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public bool Equals(ref Vector2 other)
|
|
{
|
|
return X == other.X && Y == other.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="Vector2"/> are equal.
|
|
/// </summary>
|
|
public static bool Equals(ref Vector2 a, ref Vector2 b)
|
|
{
|
|
return a.Equals(ref b);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="Vector2" /> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name="other">The <see cref="Vector2" /> to compare with this instance.</param>
|
|
/// <returns><c>true</c> if the specified <see cref="Vector2" /> is equal to this instance; otherwise, <c>false</c>.</returns>
|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
|
public bool Equals(Vector2 other)
|
|
{
|
|
return Equals(ref other);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref="System.Object" /> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name="value">The <see cref="System.Object" /> to compare with this instance.</param>
|
|
/// <returns><c>true</c> if the specified <see cref="System.Object" /> is equal to this instance; otherwise, <c>false</c>.</returns>
|
|
public override bool Equals(object value)
|
|
{
|
|
return value is Vector2 other && Equals(ref other);
|
|
}
|
|
}
|
|
}
|