640 lines
26 KiB
C#
640 lines
26 KiB
C#
// Copyright (c) Xenko contributors (https://xenko.com) and Silicon Studio Corp. (https://www.siliconstudio.co.jp)
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// Distributed under the MIT license. See the LICENSE.md file in the project root for more information.
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//
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// Copyright (c) 2010-2011 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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using System;
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using System.Globalization;
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using System.Runtime.InteropServices;
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using System.Runtime.Serialization;
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namespace math
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{
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/// <summary>
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/// Represents a four dimensional mathematical vector.
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/// </summary>
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[DataContract]
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[StructLayout( LayoutKind.Sequential, Pack = 4 )]
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public struct UInt4 : IEquatable<UInt4>, IFormattable
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{
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/// <summary>
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/// The size of the <see cref = "UInt4" /> type, in bytes.
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/// </summary>
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public static readonly int SizeInBytes = lib.Util.SizeOf<UInt4>();
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/// <summary>
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/// A <see cref = "UInt4" /> with all of its components set to zero.
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/// </summary>
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public static readonly UInt4 Zero = new UInt4();
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/// <summary>
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/// The X unit <see cref = "UInt4" /> (1, 0, 0, 0).
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/// </summary>
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public static readonly UInt4 UnitX = new UInt4( 1, 0, 0, 0 );
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/// <summary>
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/// The Y unit <see cref = "UInt4" /> (0, 1, 0, 0).
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/// </summary>
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public static readonly UInt4 UnitY = new UInt4( 0, 1, 0, 0 );
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/// <summary>
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/// The Z unit <see cref = "UInt4" /> (0, 0, 1, 0).
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/// </summary>
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public static readonly UInt4 UnitZ = new UInt4( 0, 0, 1, 0 );
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/// <summary>
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/// The W unit <see cref = "UInt4" /> (0, 0, 0, 1).
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/// </summary>
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public static readonly UInt4 UnitW = new UInt4( 0, 0, 0, 1 );
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/// <summary>
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/// A <see cref = "UInt4" /> with all of its components set to one.
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/// </summary>
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public static readonly UInt4 One = new UInt4( 1, 1, 1, 1 );
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/// <summary>
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/// The X component of the vector.
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/// </summary>
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public uint X;
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/// <summary>
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/// The Y component of the vector.
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/// </summary>
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public uint Y;
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/// <summary>
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/// The Z component of the vector.
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/// </summary>
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public uint Z;
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/// <summary>
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/// The W component of the vector.
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/// </summary>
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public uint W;
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/// <summary>
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/// Initializes a new instance of the <see cref = "UInt4" /> 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 UInt4( uint value )
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{
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X = value;
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Y = value;
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Z = value;
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W = value;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref = "UInt4" /> 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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/// <param name = "z">Initial value for the Z component of the vector.</param>
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/// <param name = "w">Initial value for the W component of the vector.</param>
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public UInt4( uint x, uint y, uint z, uint w )
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{
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X = x;
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Y = y;
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Z = z;
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W = w;
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}
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/// <summary>
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/// Initializes a new instance of the <see cref = "UInt4" /> struct.
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/// </summary>
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/// <param name = "values">The values to assign to the X, Y, Z, and W components of the vector. This must be an array with four 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 four elements.</exception>
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public UInt4( uint[] values )
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{
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if( values == null )
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throw new ArgumentNullException( "values" );
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if( values.Length != 4 )
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throw new ArgumentOutOfRangeException( "values", "There must be four and only four input values for UInt4." );
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X = values[0];
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Y = values[1];
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Z = values[2];
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W = values[3];
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}
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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, Y, Z, or W 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, 1 for the Y component, 2 for the Z component, and 3 for the W 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, 3].</exception>
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public uint this[uint 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:
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return X;
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case 1:
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return Y;
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case 2:
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return Z;
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case 3:
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return W;
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}
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throw new ArgumentOutOfRangeException( "index", "Indices for UInt4 run from 0 to 3, 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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case 2:
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Z = value;
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break;
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case 3:
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W = value;
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break;
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default:
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throw new ArgumentOutOfRangeException( "index", "Indices for UInt4 run from 0 to 3, inclusive." );
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}
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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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/// <returns>A four-element array containing the components of the vector.</returns>
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public uint[] ToArray()
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{
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return new uint[] { X, Y, Z, W };
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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 UInt4 left, ref UInt4 right, out UInt4 result )
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{
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result = new UInt4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
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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 UInt4 Add( UInt4 left, UInt4 right )
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{
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return new UInt4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
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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 UInt4 left, ref UInt4 right, out UInt4 result )
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{
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result = new UInt4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
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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 UInt4 Subtract( UInt4 left, UInt4 right )
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{
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return new UInt4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
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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 UInt4 value, uint scale, out UInt4 result )
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{
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result = new UInt4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 UInt4 Multiply( UInt4 value, uint scale )
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{
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return new UInt4( value.X * scale, value.Y * scale, value.Z * scale, value.W * scale );
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}
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/// <summary>
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/// Modulates 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 modulate.</param>
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/// <param name = "right">The second vector to modulate.</param>
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/// <param name = "result">When the method completes, contains the modulated vector.</param>
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public static void Modulate( ref UInt4 left, ref UInt4 right, out UInt4 result )
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{
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result = new UInt4( left.X * right.X, left.Y * right.Y, left.Z * right.Z, left.W * right.W );
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}
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/// <summary>
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/// Modulates 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 modulate.</param>
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/// <param name = "right">The second vector to modulate.</param>
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/// <returns>The modulated vector.</returns>
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public static UInt4 Modulate( UInt4 left, UInt4 right )
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{
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return new UInt4( left.X * right.X, left.Y * right.Y, left.Z * right.Z, left.W * right.W );
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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 UInt4 value, uint scale, out UInt4 result )
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{
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result = new UInt4( value.X / scale, value.Y / scale, value.Z / scale, value.W / 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 UInt4 Divide( UInt4 value, uint scale )
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{
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return new UInt4( value.X / scale, value.Y / scale, value.Z / scale, value.W / scale );
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}
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/// <summary>
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/// Restricts a value to be within a specified range.
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/// </summary>
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/// <param name = "value">The value to clamp.</param>
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/// <param name = "min">The minimum value.</param>
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/// <param name = "max">The maximum value.</param>
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/// <param name = "result">When the method completes, contains the clamped value.</param>
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public static void Clamp( ref UInt4 value, ref UInt4 min, ref UInt4 max, out UInt4 result )
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{
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uint x = value.X;
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x = ( x > max.X ) ? max.X : x;
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x = ( x < min.X ) ? min.X : x;
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uint y = value.Y;
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y = ( y > max.Y ) ? max.Y : y;
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y = ( y < min.Y ) ? min.Y : y;
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uint z = value.Z;
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z = ( z > max.Z ) ? max.Z : z;
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z = ( z < min.Z ) ? min.Z : z;
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uint w = value.W;
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w = ( w > max.W ) ? max.W : w;
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w = ( w < min.W ) ? min.W : w;
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result = new UInt4( x, y, z, w );
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}
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/// <summary>
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/// Restricts a value to be within a specified range.
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/// </summary>
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/// <param name = "value">The value to clamp.</param>
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/// <param name = "min">The minimum value.</param>
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/// <param name = "max">The maximum value.</param>
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/// <returns>The clamped value.</returns>
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public static UInt4 Clamp( UInt4 value, UInt4 min, UInt4 max )
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{
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UInt4 result;
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Clamp( ref value, ref min, ref max, out result );
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return result;
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}
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/// <summary>
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/// Returns a vector containing the smallest components of the specified vectors.
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/// </summary>
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/// <param name = "left">The first source vector.</param>
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/// <param name = "right">The second source vector.</param>
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/// <param name = "result">When the method completes, contains an new vector composed of the largest components of the source vectors.</param>
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public static void Max( ref UInt4 left, ref UInt4 right, out UInt4 result )
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{
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result.X = ( left.X > right.X ) ? left.X : right.X;
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result.Y = ( left.Y > right.Y ) ? left.Y : right.Y;
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result.Z = ( left.Z > right.Z ) ? left.Z : right.Z;
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result.W = ( left.W > right.W ) ? left.W : right.W;
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}
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/// <summary>
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/// Returns a vector containing the largest components of the specified vectors.
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/// </summary>
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/// <param name = "left">The first source vector.</param>
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/// <param name = "right">The second source vector.</param>
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/// <returns>A vector containing the largest components of the source vectors.</returns>
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public static UInt4 Max( UInt4 left, UInt4 right )
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{
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UInt4 result;
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Max( ref left, ref right, out result );
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return result;
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}
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/// <summary>
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/// Returns a vector containing the smallest components of the specified vectors.
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/// </summary>
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/// <param name = "left">The first source vector.</param>
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/// <param name = "right">The second source vector.</param>
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/// <param name = "result">When the method completes, contains an new vector composed of the smallest components of the source vectors.</param>
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public static void Min( ref UInt4 left, ref UInt4 right, out UInt4 result )
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{
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result.X = ( left.X < right.X ) ? left.X : right.X;
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result.Y = ( left.Y < right.Y ) ? left.Y : right.Y;
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result.Z = ( left.Z < right.Z ) ? left.Z : right.Z;
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result.W = ( left.W < right.W ) ? left.W : right.W;
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}
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/// <summary>
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/// Returns a vector containing the smallest components of the specified vectors.
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/// </summary>
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/// <param name = "left">The first source vector.</param>
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/// <param name = "right">The second source vector.</param>
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/// <returns>A vector containing the smallest components of the source vectors.</returns>
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public static UInt4 Min( UInt4 left, UInt4 right )
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{
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UInt4 result;
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Min( ref left, ref right, out result );
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return result;
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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 UInt4 operator +( UInt4 left, UInt4 right )
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{
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return new UInt4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
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}
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/// <summary>
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/// Assert a vector (return it unchanged).
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/// </summary>
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/// <param name = "value">The vector to assert (unchange).</param>
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/// <returns>The asserted (unchanged) vector.</returns>
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public static UInt4 operator +( UInt4 value )
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{
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return value;
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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 UInt4 operator -( UInt4 left, UInt4 right )
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{
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return new UInt4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
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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 UInt4 operator *( uint scale, UInt4 value )
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{
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return new UInt4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 UInt4 operator *( UInt4 value, uint scale )
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{
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return new UInt4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 UInt4 operator /( UInt4 value, uint scale )
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{
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return new UInt4( value.X / scale, value.Y / scale, value.Z / scale, value.W / scale );
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}
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/// <summary>
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/// Tests for equality between two objects.
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/// </summary>
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/// <param name = "left">The first value to compare.</param>
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/// <param name = "right">The second value to compare.</param>
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/// <returns><c>true</c> if <paramref name = "left" /> has the same value as <paramref name = "right" />; otherwise, <c>false</c>.</returns>
|
|
public static bool operator ==( UInt4 left, UInt4 right )
|
|
{
|
|
return left.Equals( 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>
|
|
public static bool operator !=( UInt4 left, UInt4 right )
|
|
{
|
|
return !left.Equals( right );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref = "UInt4" /> to <see cref = "Vec2" />.
|
|
/// </summary>
|
|
/// <param name = "value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vec2( UInt4 value )
|
|
{
|
|
return new Vec2( value.X, value.Y );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref = "UInt4" /> to <see cref = "Vec3" />.
|
|
/// </summary>
|
|
/// <param name = "value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vec3( UInt4 value )
|
|
{
|
|
return new Vec3( value.X, value.Y, value.Z );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an explicit conversion from <see cref = "UInt4" /> to <see cref = "Vec4" />.
|
|
/// </summary>
|
|
/// <param name = "value">The value.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static explicit operator Vec4( UInt4 value )
|
|
{
|
|
return new Vec4( value.X, value.Y, value.Z, value.W );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref = "string" /> that represents this instance.
|
|
/// </summary>
|
|
/// <returns>
|
|
/// A <see cref = "string" /> that represents this instance.
|
|
/// </returns>
|
|
public override string ToString()
|
|
{
|
|
return string.Format( CultureInfo.CurrentCulture, "X:{0} Y:{1} Z:{2} W:{3}", X, Y, Z, W );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref = "string" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name = "format">The format.</param>
|
|
/// <returns>
|
|
/// A <see cref = "string" /> that represents this instance.
|
|
/// </returns>
|
|
public string ToString( string format )
|
|
{
|
|
if( format == null )
|
|
return ToString();
|
|
|
|
return string.Format( CultureInfo.CurrentCulture, "X:{0} Y:{1} Z:{2} W:{3}",
|
|
X.ToString( format, CultureInfo.CurrentCulture ),
|
|
Y.ToString( format, CultureInfo.CurrentCulture ),
|
|
Z.ToString( format, CultureInfo.CurrentCulture ),
|
|
W.ToString( format, CultureInfo.CurrentCulture ) );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref = "string" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name = "formatProvider">The format provider.</param>
|
|
/// <returns>
|
|
/// A <see cref = "string" /> that represents this instance.
|
|
/// </returns>
|
|
public string ToString( IFormatProvider formatProvider )
|
|
{
|
|
return string.Format( formatProvider, "X:{0} Y:{1} Z:{2} W:{3}", X, Y, Z, W );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a <see cref = "string" /> that represents this instance.
|
|
/// </summary>
|
|
/// <param name = "format">The format.</param>
|
|
/// <param name = "formatProvider">The format provider.</param>
|
|
/// <returns>
|
|
/// A <see cref = "string" /> that represents this instance.
|
|
/// </returns>
|
|
public string ToString( string format, IFormatProvider formatProvider )
|
|
{
|
|
if( format == null )
|
|
ToString( formatProvider );
|
|
|
|
return string.Format( formatProvider, "X:{0} Y:{1} Z:{2} W:{3}", X.ToString( format, formatProvider ),
|
|
Y.ToString( format, formatProvider ), Z.ToString( format, formatProvider ),
|
|
W.ToString( format, formatProvider ) );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Returns a hash code for this instance.
|
|
/// </summary>
|
|
/// <returns>
|
|
/// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
|
|
/// </returns>
|
|
public override int GetHashCode()
|
|
{
|
|
return X.GetHashCode() + Y.GetHashCode() + Z.GetHashCode() + W.GetHashCode();
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref = "UInt4" /> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name = "other">The <see cref = "UInt4" /> to compare with this instance.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the specified <see cref = "UInt4" /> is equal to this instance; otherwise, <c>false</c>.
|
|
/// </returns>
|
|
public bool Equals( UInt4 other )
|
|
{
|
|
return other.X == X && other.Y == Y && other.Z == Z && other.W == W;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Determines whether the specified <see cref = "object" /> is equal to this instance.
|
|
/// </summary>
|
|
/// <param name = "value">The <see cref = "object" /> to compare with this instance.</param>
|
|
/// <returns>
|
|
/// <c>true</c> if the specified <see cref = "object" /> is equal to this instance; otherwise, <c>false</c>.
|
|
/// </returns>
|
|
public override bool Equals( object value )
|
|
{
|
|
if( value == null )
|
|
return false;
|
|
|
|
if( value.GetType() != GetType() )
|
|
return false;
|
|
|
|
return Equals( (UInt4)value );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="uint"/> array to <see cref="math.UInt4"/>.
|
|
/// </summary>
|
|
/// <param name="input">The input.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator UInt4( uint[] input )
|
|
{
|
|
return new UInt4( input );
|
|
}
|
|
|
|
/// <summary>
|
|
/// Performs an implicit conversion from <see cref="math.UInt4"/> to <see cref="int"/> array.
|
|
/// </summary>
|
|
/// <param name="input">The input.</param>
|
|
/// <returns>The result of the conversion.</returns>
|
|
public static implicit operator uint[]( UInt4 input )
|
|
{
|
|
return input.ToArray();
|
|
}
|
|
}
|
|
}
|