fc1a8e022b
Many Matrix*/Vector* implementations were throwing IndexOutOfBoundsException when you tried to set their values via their indexer due to a missing else statement.
786 lines
29 KiB
C#
786 lines
29 KiB
C#
#region --- License ---
|
|
/*
|
|
Copyright (c) 2006 - 2008 The Open Toolkit library.
|
|
|
|
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.
|
|
*/
|
|
#endregion
|
|
|
|
using System;
|
|
using System.Runtime.InteropServices;
|
|
|
|
namespace OpenTK
|
|
{
|
|
/// <summary>
|
|
/// Represents a 4x2 matrix.
|
|
/// </summary>
|
|
public struct Matrix4x2d : IEquatable<Matrix4x2d>
|
|
{
|
|
#region Fields
|
|
|
|
/// <summary>
|
|
/// Top row of the matrix.
|
|
/// </summary>
|
|
public Vector2d Row0;
|
|
|
|
/// <summary>
|
|
/// Second row of the matrix.
|
|
/// </summary>
|
|
public Vector2d Row1;
|
|
|
|
/// <summary>
|
|
/// Third row of the matrix.
|
|
/// </summary>
|
|
public Vector2d Row2;
|
|
|
|
/// <summary>
|
|
/// Bottom row of the matrix.
|
|
/// </summary>
|
|
public Vector2d Row3;
|
|
|
|
/// <summary>
|
|
/// The zero matrix.
|
|
/// </summary>
|
|
public static readonly Matrix4x2d Zero = new Matrix4x2d(Vector2d.Zero, Vector2d.Zero, Vector2d.Zero, Vector2d.Zero);
|
|
|
|
#endregion
|
|
|
|
#region Constructors
|
|
|
|
/// <summary>
|
|
/// Constructs a new instance.
|
|
/// </summary>
|
|
/// <param name="row0">Top row of the matrix.</param>
|
|
/// <param name="row1">Second row of the matrix.</param>
|
|
/// <param name="row2">Third row of the matrix.</param>
|
|
/// <param name="row3">Bottom row of the matrix.</param>
|
|
public Matrix4x2d(Vector2d row0, Vector2d row1, Vector2d row2, Vector2d row3)
|
|
{
|
|
Row0 = row0;
|
|
Row1 = row1;
|
|
Row2 = row2;
|
|
Row3 = row3;
|
|
}
|
|
|
|
|
|
/// <summary>
|
|
/// Constructs a new instance
|
|
/// </summary>
|
|
/// <param name="m00">First item of the first row of the matrix.</param>
|
|
/// <param name="m01">Second item of the first row of the matrix.</param>
|
|
/// <param name="m10">First item of the second row of the matrix.</param>
|
|
/// <param name="m11">Second item of the second row of the matrix.</param>
|
|
/// <param name="m20">First item of the third row of the matrix.</param>
|
|
/// <param name="m21">Second item of the third row of the matrix.</param>
|
|
/// <param name="m30">First item of the fourth row of the matrix.</param>
|
|
/// <param name="m31">Second item of the fourth row of the matrix.</param>
|
|
public Matrix4x2d(
|
|
double m00, double m01,
|
|
double m10, double m11,
|
|
double m20, double m21,
|
|
double m30, double m31)
|
|
{
|
|
Row0 = new Vector2d(m00, m01);
|
|
Row1 = new Vector2d(m10, m11);
|
|
Row2 = new Vector2d(m20, m21);
|
|
Row3 = new Vector2d(m30, m31);
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Public Members
|
|
|
|
#region Properties
|
|
|
|
/// <summary>
|
|
/// Gets or sets the first column of this matrix.
|
|
/// </summary>
|
|
public Vector4d Column0
|
|
{
|
|
get { return new Vector4d(Row0.X, Row1.X, Row2.X, Row3.X); }
|
|
set { Row0.X = value.X; Row1.X = value.Y; Row2.X = value.Z; Row3.X = value.W; }
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets the second column of this matrix.
|
|
/// </summary>
|
|
public Vector4d Column1
|
|
{
|
|
get { return new Vector4d(Row0.Y, Row1.Y, Row2.Y, Row3.X); }
|
|
set { Row0.Y = value.X; Row1.Y = value.Y; Row2.Y = value.Z; Row3.Y = value.W; }
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 1, column 1 of this instance.
|
|
/// </summary>
|
|
public double M11 { get { return Row0.X; } set { Row0.X = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 1, column 2 of this instance.
|
|
/// </summary>
|
|
public double M12 { get { return Row0.Y; } set { Row0.Y = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 2, column 1 of this instance.
|
|
/// </summary>
|
|
public double M21 { get { return Row1.X; } set { Row1.X = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 2, column 2 of this instance.
|
|
/// </summary>
|
|
public double M22 { get { return Row1.Y; } set { Row1.Y = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 3, column 1 of this instance.
|
|
/// </summary>
|
|
public double M31 { get { return Row2.X; } set { Row2.X = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 3, column 2 of this instance.
|
|
/// </summary>
|
|
public double M32 { get { return Row2.Y; } set { Row2.Y = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 4, column 1 of this instance.
|
|
/// </summary>
|
|
public double M41 { get { return Row3.X; } set { Row3.X = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at row 4, column 2 of this instance.
|
|
/// </summary>
|
|
public double M42 { get { return Row3.Y; } set { Row3.Y = value; } }
|
|
|
|
/// <summary>
|
|
/// Gets or sets the values along the main diagonal of the matrix.
|
|
/// </summary>
|
|
public Vector2d Diagonal
|
|
{
|
|
get
|
|
{
|
|
return new Vector2d(Row0.X, Row1.Y);
|
|
}
|
|
set
|
|
{
|
|
Row0.X = value.X;
|
|
Row1.Y = value.Y;
|
|
}
|
|
}
|
|
|
|
/// <summary>
|
|
/// Gets the trace of the matrix, the sum of the values along the diagonal.
|
|
/// </summary>
|
|
public double Trace { get { return Row0.X + Row1.Y; } }
|
|
|
|
#endregion
|
|
|
|
#region Indexers
|
|
|
|
/// <summary>
|
|
/// Gets or sets the value at a specified row and column.
|
|
/// </summary>
|
|
public double this[int rowIndex, int columnIndex]
|
|
{
|
|
get
|
|
{
|
|
if (rowIndex == 0) return Row0[columnIndex];
|
|
else if (rowIndex == 1) return Row1[columnIndex];
|
|
else if (rowIndex == 2) return Row2[columnIndex];
|
|
else if (rowIndex == 3) return Row3[columnIndex];
|
|
throw new IndexOutOfRangeException("You tried to access this matrix at: (" + rowIndex + ", " + columnIndex + ")");
|
|
}
|
|
set
|
|
{
|
|
if (rowIndex == 0) Row0[columnIndex] = value;
|
|
else if (rowIndex == 1) Row1[columnIndex] = value;
|
|
else if (rowIndex == 2) Row2[columnIndex] = value;
|
|
else if (rowIndex == 3) Row3[columnIndex] = value;
|
|
else throw new IndexOutOfRangeException("You tried to set this matrix at: (" + rowIndex + ", " + columnIndex + ")");
|
|
}
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Static
|
|
|
|
#region CreateRotation
|
|
|
|
/// <summary>
|
|
/// Builds a rotation matrix.
|
|
/// </summary>
|
|
/// <param name="angle">The counter-clockwise angle in radians.</param>
|
|
/// <param name="result">The resulting Matrix3x2 instance.</param>
|
|
public static void CreateRotation(double angle, out Matrix4x2d result)
|
|
{
|
|
double cos = (double)System.Math.Cos(angle);
|
|
double sin = (double)System.Math.Sin(angle);
|
|
|
|
result.Row0.X = cos;
|
|
result.Row0.Y = sin;
|
|
result.Row1.X = -sin;
|
|
result.Row1.Y = cos;
|
|
result.Row2.X = 0;
|
|
result.Row2.Y = 0;
|
|
result.Row3.X = 0;
|
|
result.Row3.Y = 0;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Builds a rotation matrix.
|
|
/// </summary>
|
|
/// <param name="angle">The counter-clockwise angle in radians.</param>
|
|
/// <returns>The resulting Matrix3x2 instance.</returns>
|
|
public static Matrix4x2d CreateRotation(double angle)
|
|
{
|
|
Matrix4x2d result;
|
|
CreateRotation(angle, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region CreateScale
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="scale">Single scale factor for the x, y, and z axes.</param>
|
|
/// <param name="result">A scale matrix.</param>
|
|
public static void CreateScale(double scale, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = scale;
|
|
result.Row0.Y = 0;
|
|
result.Row1.X = 0;
|
|
result.Row1.Y = scale;
|
|
result.Row2.X = 0;
|
|
result.Row2.Y = 0;
|
|
result.Row3.X = 0;
|
|
result.Row3.Y = 0;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="scale">Single scale factor for the x and y axes.</param>
|
|
/// <returns>A scale matrix.</returns>
|
|
public static Matrix4x2d CreateScale(double scale)
|
|
{
|
|
Matrix4x2d result;
|
|
CreateScale(scale, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="scale">Scale factors for the x and y axes.</param>
|
|
/// <param name="result">A scale matrix.</param>
|
|
public static void CreateScale(Vector2d scale, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = scale.X;
|
|
result.Row0.Y = 0;
|
|
result.Row1.X = 0;
|
|
result.Row1.Y = scale.Y;
|
|
result.Row2.X = 0;
|
|
result.Row2.Y = 0;
|
|
result.Row3.X = 0;
|
|
result.Row3.Y = 0;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="scale">Scale factors for the x and y axes.</param>
|
|
/// <returns>A scale matrix.</returns>
|
|
public static Matrix4x2d CreateScale(Vector2d scale)
|
|
{
|
|
Matrix4x2d result;
|
|
CreateScale(scale, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="x">Scale factor for the x axis.</param>
|
|
/// <param name="y">Scale factor for the y axis.</param>
|
|
/// <param name="result">A scale matrix.</param>
|
|
public static void CreateScale(double x, double y, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = x;
|
|
result.Row0.Y = 0;
|
|
result.Row1.X = 0;
|
|
result.Row1.Y = y;
|
|
result.Row2.X = 0;
|
|
result.Row2.Y = 0;
|
|
result.Row3.X = 0;
|
|
result.Row3.Y = 0;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Creates a scale matrix.
|
|
/// </summary>
|
|
/// <param name="x">Scale factor for the x axis.</param>
|
|
/// <param name="y">Scale factor for the y axis.</param>
|
|
/// <returns>A scale matrix.</returns>
|
|
public static Matrix4x2d CreateScale(double x, double y)
|
|
{
|
|
Matrix4x2d result;
|
|
CreateScale(x, y, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Multiply Functions
|
|
|
|
/// <summary>
|
|
/// Multiplies and instance by a scalar.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <param name="result">A new instance that is the result of the multiplication.</param>
|
|
public static void Mult(ref Matrix4x2d left, double right, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = left.Row0.X * right;
|
|
result.Row0.Y = left.Row0.Y * right;
|
|
result.Row1.X = left.Row1.X * right;
|
|
result.Row1.Y = left.Row1.Y * right;
|
|
result.Row2.X = left.Row2.X * right;
|
|
result.Row2.Y = left.Row2.Y * right;
|
|
result.Row3.X = left.Row3.X * right;
|
|
result.Row3.Y = left.Row3.Y * right;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies and instance by a scalar.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <returns>A new instance that is the result of the multiplication.</returns>
|
|
public static Matrix4x2d Mult(Matrix4x2d left, double right)
|
|
{
|
|
Matrix4x2d result;
|
|
Mult(ref left, right, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <param name="result">A new instance that is the result of the multiplication.</param>
|
|
public static void Mult(ref Matrix4x2d left, ref Matrix2d right, out Matrix4x2d result)
|
|
{
|
|
double lM11 = left.Row0.X, lM12 = left.Row0.Y,
|
|
lM21 = left.Row1.X, lM22 = left.Row1.Y,
|
|
lM31 = left.Row2.X, lM32 = left.Row2.Y,
|
|
lM41 = left.Row3.X, lM42 = left.Row3.Y,
|
|
rM11 = right.Row0.X, rM12 = right.Row0.Y,
|
|
rM21 = right.Row1.X, rM22 = right.Row1.Y;
|
|
|
|
result.Row0.X = (lM11 * rM11) + (lM12 * rM21);
|
|
result.Row0.Y = (lM11 * rM12) + (lM12 * rM22);
|
|
result.Row1.X = (lM21 * rM11) + (lM22 * rM21);
|
|
result.Row1.Y = (lM21 * rM12) + (lM22 * rM22);
|
|
result.Row2.X = (lM31 * rM11) + (lM32 * rM21);
|
|
result.Row2.Y = (lM31 * rM12) + (lM32 * rM22);
|
|
result.Row3.X = (lM41 * rM11) + (lM42 * rM21);
|
|
result.Row3.Y = (lM41 * rM12) + (lM42 * rM22);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <returns>A new instance that is the result of the multiplication.</returns>
|
|
public static Matrix4x2d Mult(Matrix4x2d left, Matrix2d right)
|
|
{
|
|
Matrix4x2d result;
|
|
Mult(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <param name="result">A new instance that is the result of the multiplication.</param>
|
|
public static void Mult(ref Matrix4x2d left, ref Matrix2x3d right, out Matrix4x3d result)
|
|
{
|
|
double lM11 = left.Row0.X, lM12 = left.Row0.Y,
|
|
lM21 = left.Row1.X, lM22 = left.Row1.Y,
|
|
lM31 = left.Row2.X, lM32 = left.Row2.Y,
|
|
lM41 = left.Row3.X, lM42 = left.Row3.Y,
|
|
rM11 = right.Row0.X, rM12 = right.Row0.Y, rM13 = right.Row0.Z,
|
|
rM21 = right.Row1.X, rM22 = right.Row1.Y, rM23 = right.Row1.Z;
|
|
|
|
result.Row0.X = (lM11 * rM11) + (lM12 * rM21);
|
|
result.Row0.Y = (lM11 * rM12) + (lM12 * rM22);
|
|
result.Row0.Z = (lM11 * rM13) + (lM12 * rM23);
|
|
result.Row1.X = (lM21 * rM11) + (lM22 * rM21);
|
|
result.Row1.Y = (lM21 * rM12) + (lM22 * rM22);
|
|
result.Row1.Z = (lM21 * rM13) + (lM22 * rM23);
|
|
result.Row2.X = (lM31 * rM11) + (lM32 * rM21);
|
|
result.Row2.Y = (lM31 * rM12) + (lM32 * rM22);
|
|
result.Row2.Z = (lM31 * rM13) + (lM32 * rM23);
|
|
result.Row3.X = (lM41 * rM11) + (lM42 * rM21);
|
|
result.Row3.Y = (lM41 * rM12) + (lM42 * rM22);
|
|
result.Row3.Z = (lM41 * rM13) + (lM42 * rM23);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <returns>A new instance that is the result of the multiplication.</returns>
|
|
public static Matrix4x3d Mult(Matrix4x2d left, Matrix2x3d right)
|
|
{
|
|
Matrix4x3d result;
|
|
Mult(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <param name="result">A new instance that is the result of the multiplication.</param>
|
|
public static void Mult(ref Matrix4x2d left, ref Matrix2x4d right, out Matrix4d result)
|
|
{
|
|
double lM11 = left.Row0.X, lM12 = left.Row0.Y,
|
|
lM21 = left.Row1.X, lM22 = left.Row1.Y,
|
|
lM31 = left.Row2.X, lM32 = left.Row2.Y,
|
|
lM41 = left.Row3.X, lM42 = left.Row3.Y,
|
|
rM11 = right.Row0.X, rM12 = right.Row0.Y, rM13 = right.Row0.Z, rM14 = right.Row0.W,
|
|
rM21 = right.Row1.X, rM22 = right.Row1.Y, rM23 = right.Row1.Z, rM24 = right.Row1.W;
|
|
|
|
result.Row0.X = (lM11 * rM11) + (lM12 * rM21);
|
|
result.Row0.Y = (lM11 * rM12) + (lM12 * rM22);
|
|
result.Row0.Z = (lM11 * rM13) + (lM12 * rM23);
|
|
result.Row0.W = (lM11 * rM14) + (lM12 * rM24);
|
|
result.Row1.X = (lM21 * rM11) + (lM22 * rM21);
|
|
result.Row1.Y = (lM21 * rM12) + (lM22 * rM22);
|
|
result.Row1.Z = (lM21 * rM13) + (lM22 * rM23);
|
|
result.Row1.W = (lM21 * rM14) + (lM22 * rM24);
|
|
result.Row2.X = (lM31 * rM11) + (lM32 * rM21);
|
|
result.Row2.Y = (lM31 * rM12) + (lM32 * rM22);
|
|
result.Row2.Z = (lM31 * rM13) + (lM32 * rM23);
|
|
result.Row2.W = (lM31 * rM14) + (lM32 * rM24);
|
|
result.Row3.X = (lM41 * rM11) + (lM42 * rM21);
|
|
result.Row3.Y = (lM41 * rM12) + (lM42 * rM22);
|
|
result.Row3.Z = (lM41 * rM13) + (lM42 * rM23);
|
|
result.Row3.W = (lM41 * rM14) + (lM42 * rM24);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Multiplies two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the multiplication.</param>
|
|
/// <param name="right">The right operand of the multiplication.</param>
|
|
/// <returns>A new instance that is the result of the multiplication.</returns>
|
|
public static Matrix4d Mult(Matrix4x2d left, Matrix2x4d right)
|
|
{
|
|
Matrix4d result;
|
|
Mult(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Add
|
|
|
|
/// <summary>
|
|
/// Adds two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the addition.</param>
|
|
/// <param name="right">The right operand of the addition.</param>
|
|
/// <param name="result">A new instance that is the result of the addition.</param>
|
|
public static void Add(ref Matrix4x2d left, ref Matrix4x2d right, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = left.Row0.X + right.Row0.X;
|
|
result.Row0.Y = left.Row0.Y + right.Row0.Y;
|
|
result.Row1.X = left.Row1.X + right.Row1.X;
|
|
result.Row1.Y = left.Row1.Y + right.Row1.Y;
|
|
result.Row2.X = left.Row2.X + right.Row2.X;
|
|
result.Row2.Y = left.Row2.Y + right.Row2.Y;
|
|
result.Row3.X = left.Row3.X + right.Row3.X;
|
|
result.Row3.Y = left.Row3.Y + right.Row3.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the addition.</param>
|
|
/// <param name="right">The right operand of the addition.</param>
|
|
/// <returns>A new instance that is the result of the addition.</returns>
|
|
public static Matrix4x2d Add(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
Matrix4x2d result;
|
|
Add(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Subtract
|
|
|
|
/// <summary>
|
|
/// Subtracts two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the subtraction.</param>
|
|
/// <param name="right">The right operand of the subtraction.</param>
|
|
/// <param name="result">A new instance that is the result of the subtraction.</param>
|
|
public static void Subtract(ref Matrix4x2d left, ref Matrix4x2d right, out Matrix4x2d result)
|
|
{
|
|
result.Row0.X = left.Row0.X - right.Row0.X;
|
|
result.Row0.Y = left.Row0.Y - right.Row0.Y;
|
|
result.Row1.X = left.Row1.X - right.Row1.X;
|
|
result.Row1.Y = left.Row1.Y - right.Row1.Y;
|
|
result.Row2.X = left.Row2.X - right.Row2.X;
|
|
result.Row2.Y = left.Row2.Y - right.Row2.Y;
|
|
result.Row3.X = left.Row3.X - right.Row3.X;
|
|
result.Row3.Y = left.Row3.Y - right.Row3.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Subtracts two instances.
|
|
/// </summary>
|
|
/// <param name="left">The left operand of the subtraction.</param>
|
|
/// <param name="right">The right operand of the subtraction.</param>
|
|
/// <returns>A new instance that is the result of the subtraction.</returns>
|
|
public static Matrix4x2d Subtract(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
Matrix4x2d result;
|
|
Subtract(ref left, ref right, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Transpose
|
|
|
|
/// <summary>
|
|
/// Calculate the transpose of the given matrix.
|
|
/// </summary>
|
|
/// <param name="mat">The matrix to transpose.</param>
|
|
/// <param name="result">The transpose of the given matrix.</param>
|
|
public static void Transpose(ref Matrix4x2d mat, out Matrix2x4d result)
|
|
{
|
|
result.Row0.X = mat.Row0.X;
|
|
result.Row0.Y = mat.Row1.X;
|
|
result.Row0.Z = mat.Row2.X;
|
|
result.Row0.W = mat.Row3.X;
|
|
result.Row1.X = mat.Row0.Y;
|
|
result.Row1.Y = mat.Row1.Y;
|
|
result.Row1.Z = mat.Row2.Y;
|
|
result.Row1.W = mat.Row3.Y;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Calculate the transpose of the given matrix.
|
|
/// </summary>
|
|
/// <param name="mat">The matrix to transpose.</param>
|
|
/// <returns>The transpose of the given matrix.</returns>
|
|
public static Matrix2x4d Transpose(Matrix4x2d mat)
|
|
{
|
|
Matrix2x4d result;
|
|
Transpose(ref mat, out result);
|
|
return result;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#region Operators
|
|
|
|
/// <summary>
|
|
/// Scalar multiplication.
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4x2d which holds the result of the multiplication</returns>
|
|
public static Matrix4x2d operator *(double left, Matrix4x2d right)
|
|
{
|
|
return Mult(right, left);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Scalar multiplication.
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4x2d which holds the result of the multiplication</returns>
|
|
public static Matrix4x2d operator *(Matrix4x2d left, double right)
|
|
{
|
|
return Mult(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Matrix multiplication
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix2d which holds the result of the multiplication</returns>
|
|
public static Matrix4x2d operator *(Matrix4x2d left, Matrix2d right)
|
|
{
|
|
return Mult(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Matrix multiplication
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4x3d which holds the result of the multiplication</returns>
|
|
public static Matrix4x3d operator *(Matrix4x2d left, Matrix2x3d right)
|
|
{
|
|
return Mult(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Matrix multiplication
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4d which holds the result of the multiplication</returns>
|
|
public static Matrix4d operator *(Matrix4x2d left, Matrix2x4d right)
|
|
{
|
|
return Mult(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Matrix addition
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4x2d which holds the result of the addition</returns>
|
|
public static Matrix4x2d operator +(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
return Add(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Matrix subtraction
|
|
/// </summary>
|
|
/// <param name="left">left-hand operand</param>
|
|
/// <param name="right">right-hand operand</param>
|
|
/// <returns>A new Matrix4x2d which holds the result of the subtraction</returns>
|
|
public static Matrix4x2d operator -(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
return Subtract(left, right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Compares two instances for equality.
|
|
/// </summary>
|
|
/// <param name="left">The first instance.</param>
|
|
/// <param name="right">The second instance.</param>
|
|
/// <returns>True, if left equals right; false otherwise.</returns>
|
|
public static bool operator ==(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
return left.Equals(right);
|
|
}
|
|
|
|
/// <summary>
|
|
/// Compares two instances for inequality.
|
|
/// </summary>
|
|
/// <param name="left">The first instance.</param>
|
|
/// <param name="right">The second instance.</param>
|
|
/// <returns>True, if left does not equal right; false otherwise.</returns>
|
|
public static bool operator !=(Matrix4x2d left, Matrix4x2d right)
|
|
{
|
|
return !left.Equals(right);
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Overrides
|
|
|
|
#region public override string ToString()
|
|
|
|
/// <summary>
|
|
/// Returns a System.String that represents the current Matrix3d.
|
|
/// </summary>
|
|
/// <returns>The string representation of the matrix.</returns>
|
|
public override string ToString()
|
|
{
|
|
return String.Format("{0}\n{1}\n{2}\n{3}", Row0, Row1, Row2, Row3);
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public override int GetHashCode()
|
|
|
|
/// <summary>
|
|
/// Returns the hashcode for this instance.
|
|
/// </summary>
|
|
/// <returns>A System.Int32 containing the unique hashcode for this instance.</returns>
|
|
public override int GetHashCode()
|
|
{
|
|
return Row0.GetHashCode() ^ Row1.GetHashCode() ^ Row2.GetHashCode() ^ Row3.GetHashCode();
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region public override bool Equals(object obj)
|
|
|
|
/// <summary>
|
|
/// Indicates whether this instance and a specified object are equal.
|
|
/// </summary>
|
|
/// <param name="obj">The object to compare to.</param>
|
|
/// <returns>True if the instances are equal; false otherwise.</returns>
|
|
public override bool Equals(object obj)
|
|
{
|
|
if (!(obj is Matrix4x2d))
|
|
return false;
|
|
|
|
return this.Equals((Matrix4x2d)obj);
|
|
}
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#endregion
|
|
|
|
#region IEquatable<Matrix4x2d> Members
|
|
|
|
/// <summary>
|
|
/// Indicates whether the current matrix is equal to another matrix.
|
|
/// </summary>
|
|
/// <param name="other">An matrix to compare with this matrix.</param>
|
|
/// <returns>true if the current matrix is equal to the matrix parameter; otherwise, false.</returns>
|
|
public bool Equals(Matrix4x2d other)
|
|
{
|
|
return
|
|
Row0 == other.Row0 &&
|
|
Row1 == other.Row1 &&
|
|
Row2 == other.Row2 &&
|
|
Row3 == other.Row3;
|
|
}
|
|
|
|
#endregion
|
|
}
|
|
}
|