sharplib/math/Int4.cs

701 lines
28 KiB
C#

// Copyright (c) Xenko contributors (https://xenko.com) and Silicon Studio Corp. (https://www.siliconstudio.co.jp)
// Distributed under the MIT license. See the LICENSE.md file in the project root for more information.
//
// Copyright (c) 2010-2011 SharpDX - Alexandre Mutel
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
using System;
using System.Globalization;
using System.Runtime.InteropServices;
using System.Runtime.Serialization;
namespace math
{
/// <summary>
/// Represents a four dimensional mathematical vector.
/// </summary>
[DataContract( Name = "Int4" )]
[DataStyle( DataStyle.Compact )]
[StructLayout( LayoutKind.Sequential, Pack = 4 )]
public struct Int4 : IEquatable<Int4>, IFormattable
{
/// <summary>
/// The size of the <see cref = "Int4" /> type, in bytes.
/// </summary>
public static readonly int SizeInBytes = lib.Util.SizeOf<Int4>();
/// <summary>
/// A <see cref = "Int4" /> with all of its components set to zero.
/// </summary>
public static readonly Int4 Zero = new Int4();
/// <summary>
/// The X unit <see cref = "Int4" /> (1, 0, 0, 0).
/// </summary>
public static readonly Int4 UnitX = new Int4( 1, 0, 0, 0 );
/// <summary>
/// The Y unit <see cref = "Int4" /> (0, 1, 0, 0).
/// </summary>
public static readonly Int4 UnitY = new Int4( 0, 1, 0, 0 );
/// <summary>
/// The Z unit <see cref = "Int4" /> (0, 0, 1, 0).
/// </summary>
public static readonly Int4 UnitZ = new Int4( 0, 0, 1, 0 );
/// <summary>
/// The W unit <see cref = "Int4" /> (0, 0, 0, 1).
/// </summary>
public static readonly Int4 UnitW = new Int4( 0, 0, 0, 1 );
/// <summary>
/// A <see cref = "Int4" /> with all of its components set to one.
/// </summary>
public static readonly Int4 One = new Int4( 1, 1, 1, 1 );
/// <summary>
/// The X component of the vector.
/// </summary>
[DataMember( Order = 0 )]
public int X;
/// <summary>
/// The Y component of the vector.
/// </summary>
[DataMember( Order = 1 )]
public int Y;
/// <summary>
/// The Z component of the vector.
/// </summary>
[DataMember( Order = 2 )]
public int Z;
/// <summary>
/// The W component of the vector.
/// </summary>
[DataMember( Order = 3 )]
public int W;
/// <summary>
/// Initializes a new instance of the <see cref = "Int4" /> struct.
/// </summary>
/// <param name = "value">The value that will be assigned to all components.</param>
public Int4( int value )
{
X = value;
Y = value;
Z = value;
W = value;
}
/// <summary>
/// Initializes a new instance of the <see cref = "Int4" /> struct.
/// </summary>
/// <param name = "x">Initial value for the X component of the vector.</param>
/// <param name = "y">Initial value for the Y component of the vector.</param>
/// <param name = "z">Initial value for the Z component of the vector.</param>
/// <param name = "w">Initial value for the W component of the vector.</param>
public Int4( int x, int y, int z, int w )
{
X = x;
Y = y;
Z = z;
W = w;
}
/// <summary>
/// Initializes a new instance of the <see cref = "Int4" /> struct.
/// </summary>
/// <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>
/// <exception cref = "ArgumentNullException">Thrown when <paramref name = "values" /> is <c>null</c>.</exception>
/// <exception cref = "ArgumentOutOfRangeException">Thrown when <paramref name = "values" /> contains more or less than four elements.</exception>
public Int4( int[] values )
{
if( values == null )
throw new ArgumentNullException( "values" );
if( values.Length != 4 )
throw new ArgumentOutOfRangeException( "values", "There must be four and only four input values for Int4." );
X = values[0];
Y = values[1];
Z = values[2];
W = values[3];
}
/// <summary>
/// Gets or sets the component at the specified index.
/// </summary>
/// <value>The value of the X, Y, Z, or W component, depending on the index.</value>
/// <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>
/// <returns>The value of the component at the specified index.</returns>
/// <exception cref = "System.ArgumentOutOfRangeException">Thrown when the <paramref name = "index" /> is out of the range [0, 3].</exception>
public int this[int index]
{
get
{
switch( index )
{
case 0:
return X;
case 1:
return Y;
case 2:
return Z;
case 3:
return W;
}
throw new ArgumentOutOfRangeException( "index", "Indices for Int4 run from 0 to 3, inclusive." );
}
set
{
switch( index )
{
case 0:
X = value;
break;
case 1:
Y = value;
break;
case 2:
Z = value;
break;
case 3:
W = value;
break;
default:
throw new ArgumentOutOfRangeException( "index", "Indices for Int4 run from 0 to 3, inclusive." );
}
}
}
/// <summary>
/// Calculates the length of the vector.
/// </summary>
/// <returns>The length of the vector.</returns>
/// <remarks>
/// <see cref="Int4.LengthSquared"/> may be preferred when only the relative length is needed
/// and speed is of the essence.
/// </remarks>
public int Length()
{
return (int)Math.Sqrt( ( X * X ) + ( Y * Y ) + ( Z * Z ) + ( W * W ) );
}
/// <summary>
/// Calculates the squared length of the vector.
/// </summary>
/// <returns>The squared length of the vector.</returns>
/// <remarks>
/// This method may be preferred to <see cref="Int4.Length"/> when only a relative length is needed
/// and speed is of the essence.
/// </remarks>
public int LengthSquared()
{
return ( X * X ) + ( Y * Y ) + ( Z * Z ) + ( W * W );
}
/// <summary>
/// Creates an array containing the elements of the vector.
/// </summary>
/// <returns>A four-element array containing the components of the vector.</returns>
public int[] ToArray()
{
return new int[] { X, Y, Z, W };
}
/// <summary>
/// Adds two vectors.
/// </summary>
/// <param name = "left">The first vector to add.</param>
/// <param name = "right">The second vector to add.</param>
/// <param name = "result">When the method completes, contains the sum of the two vectors.</param>
public static void Add( ref Int4 left, ref Int4 right, out Int4 result )
{
result = new Int4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
}
/// <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 Int4 Add( Int4 left, Int4 right )
{
return new Int4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
}
/// <summary>
/// Subtracts two vectors.
/// </summary>
/// <param name = "left">The first vector to subtract.</param>
/// <param name = "right">The second vector to subtract.</param>
/// <param name = "result">When the method completes, contains the difference of the two vectors.</param>
public static void Subtract( ref Int4 left, ref Int4 right, out Int4 result )
{
result = new Int4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
}
/// <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 Int4 Subtract( Int4 left, Int4 right )
{
return new Int4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
}
/// <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>
/// <param name = "result">When the method completes, contains the scaled vector.</param>
public static void Multiply( ref Int4 value, int scale, out Int4 result )
{
result = new Int4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 Int4 Multiply( Int4 value, int scale )
{
return new Int4( value.X * scale, value.Y * scale, value.Z * scale, value.W * scale );
}
/// <summary>
/// Modulates a vector with another by performing component-wise multiplication.
/// </summary>
/// <param name = "left">The first vector to modulate.</param>
/// <param name = "right">The second vector to modulate.</param>
/// <param name = "result">When the method completes, contains the modulated vector.</param>
public static void Modulate( ref Int4 left, ref Int4 right, out Int4 result )
{
result = new Int4( left.X * right.X, left.Y * right.Y, left.Z * right.Z, left.W * right.W );
}
/// <summary>
/// Modulates a vector with another by performing component-wise multiplication.
/// </summary>
/// <param name = "left">The first vector to modulate.</param>
/// <param name = "right">The second vector to modulate.</param>
/// <returns>The modulated vector.</returns>
public static Int4 Modulate( Int4 left, Int4 right )
{
return new Int4( left.X * right.X, left.Y * right.Y, left.Z * right.Z, left.W * right.W );
}
/// <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>
/// <param name = "result">When the method completes, contains the scaled vector.</param>
public static void Divide( ref Int4 value, int scale, out Int4 result )
{
result = new Int4( value.X / scale, value.Y / scale, value.Z / scale, value.W / 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 Int4 Divide( Int4 value, int scale )
{
return new Int4( value.X / scale, value.Y / scale, value.Z / scale, value.W / scale );
}
/// <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 Int4 value, out Int4 result )
{
result = new Int4( -value.X, -value.Y, -value.Z, -value.W );
}
/// <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 Int4 Negate( Int4 value )
{
return new Int4( -value.X, -value.Y, -value.Z, -value.W );
}
/// <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 Int4 value, ref Int4 min, ref Int4 max, out Int4 result )
{
int x = value.X;
x = ( x > max.X ) ? max.X : x;
x = ( x < min.X ) ? min.X : x;
int y = value.Y;
y = ( y > max.Y ) ? max.Y : y;
y = ( y < min.Y ) ? min.Y : y;
int z = value.Z;
z = ( z > max.Z ) ? max.Z : z;
z = ( z < min.Z ) ? min.Z : z;
int w = value.W;
w = ( w > max.W ) ? max.W : w;
w = ( w < min.W ) ? min.W : w;
result = new Int4( x, y, z, w );
}
/// <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 Int4 Clamp( Int4 value, Int4 min, Int4 max )
{
Int4 result;
Clamp( ref value, ref min, ref max, out 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 largest components of the source vectors.</param>
public static void Max( ref Int4 left, ref Int4 right, out Int4 result )
{
result.X = ( left.X > right.X ) ? left.X : right.X;
result.Y = ( left.Y > right.Y ) ? left.Y : right.Y;
result.Z = ( left.Z > right.Z ) ? left.Z : right.Z;
result.W = ( left.W > right.W ) ? left.W : right.W;
}
/// <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 Int4 Max( Int4 left, Int4 right )
{
Int4 result;
Max( ref left, ref right, out 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 Int4 left, ref Int4 right, out Int4 result )
{
result.X = ( left.X < right.X ) ? left.X : right.X;
result.Y = ( left.Y < right.Y ) ? left.Y : right.Y;
result.Z = ( left.Z < right.Z ) ? left.Z : right.Z;
result.W = ( left.W < right.W ) ? left.W : right.W;
}
/// <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 Int4 Min( Int4 left, Int4 right )
{
Int4 result;
Min( ref left, ref right, out result );
return result;
}
/// <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 Int4 operator +( Int4 left, Int4 right )
{
return new Int4( left.X + right.X, left.Y + right.Y, left.Z + right.Z, left.W + right.W );
}
/// <summary>
/// Assert a vector (return it unchanged).
/// </summary>
/// <param name = "value">The vector to assert (unchange).</param>
/// <returns>The asserted (unchanged) vector.</returns>
public static Int4 operator +( Int4 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 Int4 operator -( Int4 left, Int4 right )
{
return new Int4( left.X - right.X, left.Y - right.Y, left.Z - right.Z, left.W - right.W );
}
/// <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 Int4 operator -( Int4 value )
{
return new Int4( -value.X, -value.Y, -value.Z, -value.W );
}
/// <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 Int4 operator *( int scale, Int4 value )
{
return new Int4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 Int4 operator *( Int4 value, int scale )
{
return new Int4( value.X * scale, value.Y * scale, value.Z * scale, value.W * 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 Int4 operator /( Int4 value, int scale )
{
return new Int4( value.X / scale, value.Y / scale, value.Z / scale, value.W / scale );
}
/// <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>
public static bool operator ==( Int4 left, Int4 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 !=( Int4 left, Int4 right )
{
return !left.Equals( right );
}
/// <summary>
/// Performs an explicit conversion from <see cref = "Int4" /> to <see cref = "Vec2" />.
/// </summary>
/// <param name = "value">The value.</param>
/// <returns>The result of the conversion.</returns>
public static explicit operator Vec2( Int4 value )
{
return new Vec2( value.X, value.Y );
}
/// <summary>
/// Performs an explicit conversion from <see cref = "Int4" /> to <see cref = "Vec3" />.
/// </summary>
/// <param name = "value">The value.</param>
/// <returns>The result of the conversion.</returns>
public static explicit operator Vec3( Int4 value )
{
return new Vec3( value.X, value.Y, value.Z );
}
/// <summary>
/// Performs an explicit conversion from <see cref = "Int4" /> to <see cref = "Vec4" />.
/// </summary>
/// <param name = "value">The value.</param>
/// <returns>The result of the conversion.</returns>
public static explicit operator Vec4( Int4 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 = "Int4" /> is equal to this instance.
/// </summary>
/// <param name = "other">The <see cref = "Int4" /> to compare with this instance.</param>
/// <returns>
/// <c>true</c> if the specified <see cref = "Int4" /> is equal to this instance; otherwise, <c>false</c>.
/// </returns>
public bool Equals( Int4 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( (Int4)value );
}
/// <summary>
/// Performs an implicit conversion from <see cref="int"/> array to <see cref="math.Int4"/>.
/// </summary>
/// <param name="input">The input.</param>
/// <returns>The result of the conversion.</returns>
public static implicit operator Int4( int[] input )
{
return new Int4( input );
}
/// <summary>
/// Performs an implicit conversion from <see cref="math.Int4"/> to <see cref="int"/> array.
/// </summary>
/// <param name="input">The input.</param>
/// <returns>The result of the conversion.</returns>
public static implicit operator int[]( Int4 input )
{
return input.ToArray();
}
}
}