mirror of
https://github.com/Memorix101/UnityXNA/
synced 2024-12-30 15:25:35 +01:00
6fe889760d
The XNA 4.0 PlatformerGame sample is successfully running inside Unity3D 3.5. Implemented a basic game loop, game timing, content loading for Texture2D, SoundEffect and Song. Emulated SpriteBatch drawing for sprites and strings (note SpriteFont is not yet supported to all strings are rendered using the default GUI label font). Songs can be played using an AudioSource attached to the XNATest game object which acts as an emulator for MediaPlayer. Playing a SoundEffect creates a game object with an AudioSource attached which is automatically deleted when the sound finishes. Implemented keyboard input with a limited set of XNA Keys mapping to Unity3D KeyCodes.
1531 lines
62 KiB
C#
1531 lines
62 KiB
C#
#region License
|
|
/*
|
|
MIT License
|
|
Copyright © 2006 The Mono.Xna Team
|
|
|
|
All rights reserved.
|
|
|
|
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 License
|
|
|
|
using System;
|
|
using System.ComponentModel;
|
|
using System.Runtime.InteropServices;
|
|
//using Microsoft.Xna.Framework.Design;
|
|
|
|
namespace Microsoft.Xna.Framework
|
|
{
|
|
[Serializable]
|
|
[StructLayout(LayoutKind.Sequential)]
|
|
//[TypeConverter(typeof(MatrixConverter))]
|
|
public struct Matrix : IEquatable<Matrix>
|
|
{
|
|
#region Public Fields
|
|
|
|
public float M11;
|
|
public float M12;
|
|
public float M13;
|
|
public float M14;
|
|
public float M21;
|
|
public float M22;
|
|
public float M23;
|
|
public float M24;
|
|
public float M31;
|
|
public float M32;
|
|
public float M33;
|
|
public float M34;
|
|
public float M41;
|
|
public float M42;
|
|
public float M43;
|
|
public float M44;
|
|
|
|
#endregion Public Fields
|
|
|
|
|
|
#region Static Properties
|
|
|
|
private static Matrix identity = new Matrix(1f, 0f, 0f, 0f, 0f, 1f, 0f, 0f, 0f, 0f, 1f, 0f, 0f, 0f, 0f, 1f);
|
|
public static Matrix Identity
|
|
{
|
|
get { return identity; }
|
|
}
|
|
|
|
#endregion Static Properties
|
|
|
|
|
|
#region Public Properties
|
|
|
|
public Vector3 Backward
|
|
{
|
|
get { return new Vector3(this.M31, this.M32, this.M33); }
|
|
set
|
|
{
|
|
this.M31 = value.X;
|
|
this.M32 = value.Y;
|
|
this.M33 = value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Down
|
|
{
|
|
get { return new Vector3(-this.M21, -this.M22, -this.M23); }
|
|
set
|
|
{
|
|
this.M21 = -value.X;
|
|
this.M22 = -value.Y;
|
|
this.M23 = -value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Forward
|
|
{
|
|
get { return new Vector3(-this.M31, -this.M32, -this.M33); }
|
|
set
|
|
{
|
|
this.M31 = -value.X;
|
|
this.M32 = -value.Y;
|
|
this.M33 = -value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Left
|
|
{
|
|
get { return new Vector3(-this.M11, -this.M12, -this.M13); }
|
|
set
|
|
{
|
|
this.M11 = -value.X;
|
|
this.M12 = -value.Y;
|
|
this.M13 = -value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Right
|
|
{
|
|
get { return new Vector3(this.M11, this.M12, this.M13); }
|
|
set
|
|
{
|
|
this.M11 = value.X;
|
|
this.M12 = value.Y;
|
|
this.M13 = value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Translation
|
|
{
|
|
get { return new Vector3(this.M41, this.M42, this.M43); }
|
|
set
|
|
{
|
|
this.M41 = value.X;
|
|
this.M42 = value.Y;
|
|
this.M43 = value.Z;
|
|
}
|
|
}
|
|
|
|
public Vector3 Up
|
|
{
|
|
get { return new Vector3(this.M21, this.M22, this.M23); }
|
|
set
|
|
{
|
|
this.M21 = value.X;
|
|
this.M22 = value.Y;
|
|
this.M23 = value.Z;
|
|
}
|
|
}
|
|
|
|
#endregion Public Properties
|
|
|
|
|
|
#region Constructors
|
|
/// <summary>
|
|
/// Constructor for 4x4 Matrix
|
|
/// </summary>
|
|
/// <param name="m11">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m12">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m13">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m14">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m21">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m22">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m23">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m24">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m31">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m32">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m33">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m34">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m41">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m42">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m43">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
/// <param name="m44">
|
|
/// A <see cref="System.Single"/>
|
|
/// </param>
|
|
public Matrix(float m11, float m12, float m13, float m14, float m21, float m22, float m23, float m24,
|
|
float m31, float m32, float m33, float m34, float m41, float m42, float m43, float m44)
|
|
{
|
|
this.M11 = m11;
|
|
this.M12 = m12;
|
|
this.M13 = m13;
|
|
this.M14 = m14;
|
|
this.M21 = m21;
|
|
this.M22 = m22;
|
|
this.M23 = m23;
|
|
this.M24 = m24;
|
|
this.M31 = m31;
|
|
this.M32 = m32;
|
|
this.M33 = m33;
|
|
this.M34 = m34;
|
|
this.M41 = m41;
|
|
this.M42 = m42;
|
|
this.M43 = m43;
|
|
this.M44 = m44;
|
|
}
|
|
|
|
#endregion Constructors
|
|
|
|
#region Public Static Methods
|
|
|
|
public static Matrix CreateWorld(Vector3 position, Vector3 forward, Vector3 up)
|
|
{
|
|
Matrix ret;
|
|
CreateWorld(ref position, ref forward, ref up, out ret);
|
|
return ret;
|
|
}
|
|
|
|
public static void CreateWorld(ref Vector3 position, ref Vector3 forward, ref Vector3 up, out Matrix result)
|
|
{
|
|
Vector3 x, y, z;
|
|
Vector3.Normalize(ref forward, out z);
|
|
Vector3.Cross(ref forward, ref up, out x);
|
|
Vector3.Cross(ref x, ref forward, out y);
|
|
x.Normalize();
|
|
y.Normalize();
|
|
|
|
result = new Matrix();
|
|
result.Right = x;
|
|
result.Up = y;
|
|
result.Forward = z;
|
|
result.Translation = position;
|
|
result.M44 = 1f;
|
|
}
|
|
|
|
public static Matrix CreateShadow(Vector3 lightDirection, Plane plane)
|
|
{
|
|
Matrix ret;
|
|
CreateShadow(ref lightDirection, ref plane, out ret);
|
|
return ret;
|
|
}
|
|
|
|
public static void CreateShadow(ref Vector3 lightDirection, ref Plane plane, out Matrix result)
|
|
{
|
|
// Formula:
|
|
// http://msdn.microsoft.com/en-us/library/bb205364(v=VS.85).aspx
|
|
|
|
Plane p = Plane.Normalize(plane);
|
|
float d = Vector3.Dot(p.Normal, lightDirection);
|
|
|
|
result.M11 = -1 * p.Normal.X * lightDirection.X + d;
|
|
result.M12 = -1 * p.Normal.X * lightDirection.Y;
|
|
result.M13 = -1 * p.Normal.X * lightDirection.Z;
|
|
result.M14 = 0;
|
|
result.M21 = -1 * p.Normal.Y * lightDirection.X;
|
|
result.M22 = -1 * p.Normal.Y * lightDirection.Y + d;
|
|
result.M23 = -1 * p.Normal.Y * lightDirection.Z;
|
|
result.M24 = 0;
|
|
result.M31 = -1 * p.Normal.Z * lightDirection.X;
|
|
result.M32 = -1 * p.Normal.Z * lightDirection.Y;
|
|
result.M33 = -1 * p.Normal.Z * lightDirection.Z + d;
|
|
result.M34 = 0;
|
|
result.M41 = -1 * p.D * lightDirection.X;
|
|
result.M42 = -1 * p.D * lightDirection.Y;
|
|
result.M43 = -1 * p.D * lightDirection.Z;
|
|
result.M44 = d;
|
|
}
|
|
|
|
public static void CreateReflection(ref Plane value, out Matrix result)
|
|
{
|
|
// Formula:
|
|
// http://msdn.microsoft.com/en-us/library/bb205356(v=VS.85).aspx
|
|
|
|
Plane p = Plane.Normalize(value);
|
|
|
|
result.M11 = -2 * p.Normal.X * p.Normal.X + 1;
|
|
result.M12 = -2 * p.Normal.X * p.Normal.Y;
|
|
result.M13 = -2 * p.Normal.X * p.Normal.Z;
|
|
result.M14 = 0;
|
|
result.M21 = -2 * p.Normal.Y * p.Normal.X;
|
|
result.M22 = -2 * p.Normal.Y * p.Normal.Y + 1;
|
|
result.M23 = -2 * p.Normal.Y * p.Normal.Z;
|
|
result.M24 = 0;
|
|
result.M31 = -2 * p.Normal.Z * p.Normal.X;
|
|
result.M32 = -2 * p.Normal.Z * p.Normal.Y;
|
|
result.M33 = -2 * p.Normal.Z * p.Normal.Z + 1;
|
|
result.M34 = 0;
|
|
result.M41 = -2 * p.D * p.Normal.X;
|
|
result.M42 = -2 * p.D * p.Normal.Y;
|
|
result.M43 = -2 * p.D * p.Normal.Z;
|
|
result.M44 = 1;
|
|
}
|
|
|
|
public static Matrix CreateReflection(Plane value)
|
|
{
|
|
Matrix ret;
|
|
CreateReflection(ref value, out ret);
|
|
return ret;
|
|
}
|
|
|
|
public static Matrix CreateFromYawPitchRoll(float yaw, float pitch, float roll)
|
|
{
|
|
Matrix matrix;
|
|
Quaternion quaternion;
|
|
Quaternion.CreateFromYawPitchRoll(yaw, pitch, roll, out quaternion);
|
|
CreateFromQuaternion(ref quaternion, out matrix);
|
|
return matrix;
|
|
}
|
|
|
|
public static void CreateFromYawPitchRoll(float yaw, float pitch, float roll, out Matrix result)
|
|
{
|
|
Quaternion quaternion;
|
|
Quaternion.CreateFromYawPitchRoll(yaw, pitch, roll, out quaternion);
|
|
CreateFromQuaternion(ref quaternion, out result);
|
|
}
|
|
|
|
public static void Transform(ref Matrix value, ref Quaternion rotation, out Matrix result)
|
|
{
|
|
Matrix matrix = CreateFromQuaternion(rotation);
|
|
Matrix.Multiply(ref value, ref matrix, out result);
|
|
}
|
|
|
|
public static Matrix Transform(Matrix value, Quaternion rotation)
|
|
{
|
|
Matrix ret;
|
|
Transform(ref value, ref rotation, out ret);
|
|
return ret;
|
|
}
|
|
|
|
public bool Decompose(out Vector3 scale, out Quaternion rotation, out Vector3 translation)
|
|
{
|
|
translation.X = this.M41;
|
|
translation.Y = this.M42;
|
|
translation.Z = this.M43;
|
|
float xs, ys, zs;
|
|
|
|
if (Math.Sign(M11 * M12 * M13 * M14) < 0)
|
|
xs = -1f;
|
|
else
|
|
xs = 1f;
|
|
|
|
if (Math.Sign(M21 * M22 * M23 * M24) < 0)
|
|
ys = -1f;
|
|
else
|
|
ys = 1f;
|
|
|
|
if (Math.Sign(M31 * M32 * M33 * M34) < 0)
|
|
zs = -1f;
|
|
else
|
|
zs = 1f;
|
|
|
|
scale.X = xs * (float)Math.Sqrt(this.M11 * this.M11 + this.M12 * this.M12 + this.M13 * this.M13);
|
|
scale.Y = ys * (float)Math.Sqrt(this.M21 * this.M21 + this.M22 * this.M22 + this.M23 * this.M23);
|
|
scale.Z = zs * (float)Math.Sqrt(this.M31 * this.M31 + this.M32 * this.M32 + this.M33 * this.M33);
|
|
|
|
if (scale.X == 0.0 || scale.Y == 0.0 || scale.Z == 0.0)
|
|
{
|
|
rotation = Quaternion.Identity;
|
|
return false;
|
|
}
|
|
|
|
Matrix m1 = new Matrix(this.M11 / scale.X, M12 / scale.X, M13 / scale.X, 0,
|
|
this.M21 / scale.Y, M22 / scale.Y, M23 / scale.Y, 0,
|
|
this.M31 / scale.Z, M32 / scale.Z, M33 / scale.Z, 0,
|
|
0, 0, 0, 1);
|
|
|
|
rotation = Quaternion.CreateFromRotationMatrix(m1);
|
|
return true;
|
|
}
|
|
|
|
/// <summary>
|
|
/// Adds second matrix to the first.
|
|
/// </summary>
|
|
/// <param name="matrix1">
|
|
/// A <see cref="Matrix"/>
|
|
/// </param>
|
|
/// <param name="matrix2">
|
|
/// A <see cref="Matrix"/>
|
|
/// </param>
|
|
/// <returns>
|
|
/// A <see cref="Matrix"/>
|
|
/// </returns>
|
|
public static Matrix Add(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
matrix1.M11 += matrix2.M11;
|
|
matrix1.M12 += matrix2.M12;
|
|
matrix1.M13 += matrix2.M13;
|
|
matrix1.M14 += matrix2.M14;
|
|
matrix1.M21 += matrix2.M21;
|
|
matrix1.M22 += matrix2.M22;
|
|
matrix1.M23 += matrix2.M23;
|
|
matrix1.M24 += matrix2.M24;
|
|
matrix1.M31 += matrix2.M31;
|
|
matrix1.M32 += matrix2.M32;
|
|
matrix1.M33 += matrix2.M33;
|
|
matrix1.M34 += matrix2.M34;
|
|
matrix1.M41 += matrix2.M41;
|
|
matrix1.M42 += matrix2.M42;
|
|
matrix1.M43 += matrix2.M43;
|
|
matrix1.M44 += matrix2.M44;
|
|
return matrix1;
|
|
}
|
|
|
|
|
|
/// <summary>
|
|
/// Adds two Matrix and save to the result Matrix
|
|
/// </summary>
|
|
/// <param name="matrix1">
|
|
/// A <see cref="Matrix"/>
|
|
/// </param>
|
|
/// <param name="matrix2">
|
|
/// A <see cref="Matrix"/>
|
|
/// </param>
|
|
/// <param name="result">
|
|
/// A <see cref="Matrix"/>
|
|
/// </param>
|
|
public static void Add(ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
|
|
{
|
|
result.M11 = matrix1.M11 + matrix2.M11;
|
|
result.M12 = matrix1.M12 + matrix2.M12;
|
|
result.M13 = matrix1.M13 + matrix2.M13;
|
|
result.M14 = matrix1.M14 + matrix2.M14;
|
|
result.M21 = matrix1.M21 + matrix2.M21;
|
|
result.M22 = matrix1.M22 + matrix2.M22;
|
|
result.M23 = matrix1.M23 + matrix2.M23;
|
|
result.M24 = matrix1.M24 + matrix2.M24;
|
|
result.M31 = matrix1.M31 + matrix2.M31;
|
|
result.M32 = matrix1.M32 + matrix2.M32;
|
|
result.M33 = matrix1.M33 + matrix2.M33;
|
|
result.M34 = matrix1.M34 + matrix2.M34;
|
|
result.M41 = matrix1.M41 + matrix2.M41;
|
|
result.M42 = matrix1.M42 + matrix2.M42;
|
|
result.M43 = matrix1.M43 + matrix2.M43;
|
|
result.M44 = matrix1.M44 + matrix2.M44;
|
|
}
|
|
|
|
|
|
public static Matrix CreateBillboard(Vector3 objectPosition, Vector3 cameraPosition,
|
|
Vector3 cameraUpVector, Nullable<Vector3> cameraForwardVector)
|
|
{
|
|
Matrix ret;
|
|
CreateBillboard(ref objectPosition, ref cameraPosition, ref cameraUpVector, cameraForwardVector, out ret);
|
|
return ret;
|
|
}
|
|
|
|
public static void CreateBillboard(ref Vector3 objectPosition, ref Vector3 cameraPosition,
|
|
ref Vector3 cameraUpVector, Vector3? cameraForwardVector, out Matrix result)
|
|
{
|
|
Vector3 translation = objectPosition - cameraPosition;
|
|
Vector3 backwards, right, up;
|
|
Vector3.Normalize(ref translation, out backwards);
|
|
Vector3.Normalize(ref cameraUpVector, out up);
|
|
Vector3.Cross(ref backwards, ref up, out right);
|
|
Vector3.Cross(ref backwards, ref right, out up);
|
|
result = Matrix.Identity;
|
|
result.Backward = backwards;
|
|
result.Right = right;
|
|
result.Up = up;
|
|
result.Translation = translation;
|
|
}
|
|
|
|
public static Matrix CreateConstrainedBillboard(Vector3 objectPosition, Vector3 cameraPosition,
|
|
Vector3 rotateAxis, Nullable<Vector3> cameraForwardVector, Nullable<Vector3> objectForwardVector)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static void CreateConstrainedBillboard(ref Vector3 objectPosition, ref Vector3 cameraPosition,
|
|
ref Vector3 rotateAxis, Vector3? cameraForwardVector, Vector3? objectForwardVector, out Matrix result)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static Matrix CreateFromAxisAngle(Vector3 axis, float angle)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static void CreateFromAxisAngle(ref Vector3 axis, float angle, out Matrix result)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static Matrix CreateFromQuaternion(Quaternion quaternion)
|
|
{
|
|
Matrix ret;
|
|
CreateFromQuaternion(ref quaternion, out ret);
|
|
return ret;
|
|
}
|
|
|
|
|
|
public static void CreateFromQuaternion(ref Quaternion quaternion, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = 1 - 2 * (quaternion.Y * quaternion.Y + quaternion.Z * quaternion.Z);
|
|
result.M12 = 2 * (quaternion.X * quaternion.Y + quaternion.W * quaternion.Z);
|
|
result.M13 = 2 * (quaternion.X * quaternion.Z - quaternion.W * quaternion.Y);
|
|
result.M21 = 2 * (quaternion.X * quaternion.Y - quaternion.W * quaternion.Z);
|
|
result.M22 = 1 - 2 * (quaternion.X * quaternion.X + quaternion.Z * quaternion.Z);
|
|
result.M23 = 2 * (quaternion.Y * quaternion.Z + quaternion.W * quaternion.X);
|
|
result.M31 = 2 * (quaternion.X * quaternion.Z + quaternion.W * quaternion.Y);
|
|
result.M32 = 2 * (quaternion.Y * quaternion.Z - quaternion.W * quaternion.X);
|
|
result.M33 = 1 - 2 * (quaternion.X * quaternion.X + quaternion.Y * quaternion.Y);
|
|
}
|
|
|
|
|
|
public static Matrix CreateLookAt(Vector3 cameraPosition, Vector3 cameraTarget, Vector3 cameraUpVector)
|
|
{
|
|
Matrix ret;
|
|
CreateLookAt(ref cameraPosition, ref cameraTarget, ref cameraUpVector, out ret);
|
|
return ret;
|
|
}
|
|
|
|
|
|
public static void CreateLookAt(ref Vector3 cameraPosition, ref Vector3 cameraTarget, ref Vector3 cameraUpVector, out Matrix result)
|
|
{
|
|
// http://msdn.microsoft.com/en-us/library/bb205343(v=VS.85).aspx
|
|
|
|
Vector3 vz = Vector3.Normalize(cameraPosition - cameraTarget);
|
|
Vector3 vx = Vector3.Normalize(Vector3.Cross(cameraUpVector, vz));
|
|
Vector3 vy = Vector3.Cross(vz, vx);
|
|
result = Matrix.Identity;
|
|
result.M11 = vx.X;
|
|
result.M12 = vy.X;
|
|
result.M13 = vz.X;
|
|
result.M21 = vx.Y;
|
|
result.M22 = vy.Y;
|
|
result.M23 = vz.Y;
|
|
result.M31 = vx.Z;
|
|
result.M32 = vy.Z;
|
|
result.M33 = vz.Z;
|
|
result.M41 = -Vector3.Dot(vx, cameraPosition);
|
|
result.M42 = -Vector3.Dot(vy, cameraPosition);
|
|
result.M43 = -Vector3.Dot(vz, cameraPosition);
|
|
}
|
|
|
|
public static Matrix CreateOrthographic(float width, float height, float zNearPlane, float zFarPlane)
|
|
{
|
|
Matrix ret;
|
|
CreateOrthographic(width, height, zNearPlane, zFarPlane, out ret);
|
|
return ret;
|
|
}
|
|
|
|
|
|
public static void CreateOrthographic(float width, float height, float zNearPlane, float zFarPlane, out Matrix result)
|
|
{
|
|
result.M11 = 2 / width;
|
|
result.M12 = 0;
|
|
result.M13 = 0;
|
|
result.M14 = 0;
|
|
result.M21 = 0;
|
|
result.M22 = 2 / height;
|
|
result.M23 = 0;
|
|
result.M24 = 0;
|
|
result.M31 = 0;
|
|
result.M32 = 0;
|
|
result.M33 = 1 / (zNearPlane - zFarPlane);
|
|
result.M34 = 0;
|
|
result.M41 = 0;
|
|
result.M42 = 0;
|
|
result.M43 = zNearPlane / (zNearPlane - zFarPlane);
|
|
result.M44 = 1;
|
|
}
|
|
|
|
|
|
public static Matrix CreateOrthographicOffCenter(float left, float right, float bottom, float top, float zNearPlane, float zFarPlane)
|
|
{
|
|
Matrix ret;
|
|
CreateOrthographicOffCenter(left, right, bottom, top, zNearPlane, zFarPlane, out ret);
|
|
return ret;
|
|
}
|
|
|
|
|
|
public static void CreateOrthographicOffCenter(float left, float right, float bottom, float top,
|
|
float zNearPlane, float zFarPlane, out Matrix result)
|
|
{
|
|
result.M11 = 2 / (right - left);
|
|
result.M12 = 0;
|
|
result.M13 = 0;
|
|
result.M14 = 0;
|
|
result.M21 = 0;
|
|
result.M22 = 2 / (top - bottom);
|
|
result.M23 = 0;
|
|
result.M24 = 0;
|
|
result.M31 = 0;
|
|
result.M32 = 0;
|
|
result.M33 = 1 / (zNearPlane - zFarPlane);
|
|
result.M34 = 0;
|
|
result.M41 = (left + right) / (left - right);
|
|
result.M42 = (bottom + top) / (bottom - top);
|
|
result.M43 = zNearPlane / (zNearPlane - zFarPlane);
|
|
result.M44 = 1;
|
|
}
|
|
|
|
|
|
public static Matrix CreatePerspective(float width, float height, float zNearPlane, float zFarPlane)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static void CreatePerspective(float width, float height, float zNearPlane, float zFarPlane, out Matrix result)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static Matrix CreatePerspectiveFieldOfView(float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance)
|
|
{
|
|
Matrix ret;
|
|
CreatePerspectiveFieldOfView(fieldOfView, aspectRatio, nearPlaneDistance, farPlaneDistance, out ret);
|
|
return ret;
|
|
}
|
|
|
|
|
|
public static void CreatePerspectiveFieldOfView(float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance, out Matrix result)
|
|
{
|
|
// http://msdn.microsoft.com/en-us/library/bb205351(v=VS.85).aspx
|
|
// http://msdn.microsoft.com/en-us/library/bb195665.aspx
|
|
|
|
result = new Matrix(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
|
|
|
|
if (fieldOfView < 0 || fieldOfView > 3.14159262f)
|
|
throw new ArgumentOutOfRangeException("fieldOfView", "fieldOfView takes a value between 0 and Pi (180 degrees) in radians.");
|
|
|
|
if (nearPlaneDistance <= 0.0f)
|
|
throw new ArgumentOutOfRangeException("nearPlaneDistance", "You should specify positive value for nearPlaneDistance.");
|
|
|
|
if (farPlaneDistance <= 0.0f)
|
|
throw new ArgumentOutOfRangeException("farPlaneDistance", "You should specify positive value for farPlaneDistance.");
|
|
|
|
if (farPlaneDistance <= nearPlaneDistance)
|
|
throw new ArgumentOutOfRangeException("nearPlaneDistance", "Near plane distance is larger than Far plane distance. Near plane distance must be smaller than Far plane distance.");
|
|
|
|
float yscale = (float)1 / (float)Math.Tan(fieldOfView / 2);
|
|
float xscale = yscale / aspectRatio;
|
|
|
|
result.M11 = xscale;
|
|
result.M22 = yscale;
|
|
result.M33 = farPlaneDistance / (nearPlaneDistance - farPlaneDistance);
|
|
result.M34 = -1;
|
|
result.M43 = nearPlaneDistance * farPlaneDistance / (nearPlaneDistance - farPlaneDistance);
|
|
}
|
|
|
|
|
|
public static Matrix CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float zNearPlane, float zFarPlane)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static void CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float nearPlaneDistance, float farPlaneDistance, out Matrix result)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static Matrix CreateRotationX(float radians)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M22 = (float)Math.Cos(radians);
|
|
returnMatrix.M23 = (float)Math.Sin(radians);
|
|
returnMatrix.M32 = -returnMatrix.M23;
|
|
returnMatrix.M33 = returnMatrix.M22;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateRotationX(float radians, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M22 = (float)Math.Cos(radians);
|
|
result.M23 = (float)Math.Sin(radians);
|
|
result.M32 = -result.M23;
|
|
result.M33 = result.M22;
|
|
}
|
|
|
|
|
|
public static Matrix CreateRotationY(float radians)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M11 = (float)Math.Cos(radians);
|
|
returnMatrix.M13 = (float)Math.Sin(radians);
|
|
returnMatrix.M31 = -returnMatrix.M13;
|
|
returnMatrix.M33 = returnMatrix.M11;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateRotationY(float radians, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = (float)Math.Cos(radians);
|
|
result.M13 = (float)Math.Sin(radians);
|
|
result.M31 = -result.M13;
|
|
result.M33 = result.M11;
|
|
}
|
|
|
|
|
|
public static Matrix CreateRotationZ(float radians)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M11 = (float)Math.Cos(radians);
|
|
returnMatrix.M12 = (float)Math.Sin(radians);
|
|
returnMatrix.M21 = -returnMatrix.M12;
|
|
returnMatrix.M22 = returnMatrix.M11;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateRotationZ(float radians, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = (float)Math.Cos(radians);
|
|
result.M12 = (float)Math.Sin(radians);
|
|
result.M21 = -result.M12;
|
|
result.M22 = result.M11;
|
|
}
|
|
|
|
|
|
public static Matrix CreateScale(float scale)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M11 = scale;
|
|
returnMatrix.M22 = scale;
|
|
returnMatrix.M33 = scale;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateScale(float scale, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = scale;
|
|
result.M22 = scale;
|
|
result.M33 = scale;
|
|
}
|
|
|
|
|
|
public static Matrix CreateScale(float xScale, float yScale, float zScale)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M11 = xScale;
|
|
returnMatrix.M22 = yScale;
|
|
returnMatrix.M33 = zScale;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateScale(float xScale, float yScale, float zScale, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = xScale;
|
|
result.M22 = yScale;
|
|
result.M33 = zScale;
|
|
}
|
|
|
|
|
|
public static Matrix CreateScale(Vector3 scales)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M11 = scales.X;
|
|
returnMatrix.M22 = scales.Y;
|
|
returnMatrix.M33 = scales.Z;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateScale(ref Vector3 scales, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M11 = scales.X;
|
|
result.M22 = scales.Y;
|
|
result.M33 = scales.Z;
|
|
}
|
|
|
|
|
|
public static Matrix CreateTranslation(float xPosition, float yPosition, float zPosition)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M41 = xPosition;
|
|
returnMatrix.M42 = yPosition;
|
|
returnMatrix.M43 = zPosition;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateTranslation(float xPosition, float yPosition, float zPosition, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M41 = xPosition;
|
|
result.M42 = yPosition;
|
|
result.M43 = zPosition;
|
|
}
|
|
|
|
|
|
public static Matrix CreateTranslation(Vector3 position)
|
|
{
|
|
Matrix returnMatrix = Matrix.Identity;
|
|
|
|
returnMatrix.M41 = position.X;
|
|
returnMatrix.M42 = position.Y;
|
|
returnMatrix.M43 = position.Z;
|
|
|
|
return returnMatrix;
|
|
}
|
|
|
|
|
|
public static void CreateTranslation(ref Vector3 position, out Matrix result)
|
|
{
|
|
result = Matrix.Identity;
|
|
|
|
result.M41 = position.X;
|
|
result.M42 = position.Y;
|
|
result.M43 = position.Z;
|
|
}
|
|
|
|
public static Matrix Divide(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
Matrix inverse = Matrix.Invert(matrix2), result;
|
|
|
|
result.M11 = matrix1.M11 * inverse.M11 + matrix1.M12 * inverse.M21 + matrix1.M13 * inverse.M31 + matrix1.M14 * inverse.M41;
|
|
result.M12 = matrix1.M11 * inverse.M12 + matrix1.M12 * inverse.M22 + matrix1.M13 * inverse.M32 + matrix1.M14 * inverse.M42;
|
|
result.M13 = matrix1.M11 * inverse.M13 + matrix1.M12 * inverse.M23 + matrix1.M13 * inverse.M33 + matrix1.M14 * inverse.M43;
|
|
result.M14 = matrix1.M11 * inverse.M14 + matrix1.M12 * inverse.M24 + matrix1.M13 * inverse.M34 + matrix1.M14 * inverse.M44;
|
|
|
|
result.M21 = matrix1.M21 * inverse.M11 + matrix1.M22 * inverse.M21 + matrix1.M23 * inverse.M31 + matrix1.M24 * inverse.M41;
|
|
result.M22 = matrix1.M21 * inverse.M12 + matrix1.M22 * inverse.M22 + matrix1.M23 * inverse.M32 + matrix1.M24 * inverse.M42;
|
|
result.M23 = matrix1.M21 * inverse.M13 + matrix1.M22 * inverse.M23 + matrix1.M23 * inverse.M33 + matrix1.M24 * inverse.M43;
|
|
result.M24 = matrix1.M21 * inverse.M14 + matrix1.M22 * inverse.M24 + matrix1.M23 * inverse.M34 + matrix1.M24 * inverse.M44;
|
|
|
|
result.M31 = matrix1.M31 * inverse.M11 + matrix1.M32 * inverse.M21 + matrix1.M33 * inverse.M31 + matrix1.M34 * inverse.M41;
|
|
result.M32 = matrix1.M31 * inverse.M12 + matrix1.M32 * inverse.M22 + matrix1.M33 * inverse.M32 + matrix1.M34 * inverse.M42;
|
|
result.M33 = matrix1.M31 * inverse.M13 + matrix1.M32 * inverse.M23 + matrix1.M33 * inverse.M33 + matrix1.M34 * inverse.M43;
|
|
result.M34 = matrix1.M31 * inverse.M14 + matrix1.M32 * inverse.M24 + matrix1.M33 * inverse.M34 + matrix1.M34 * inverse.M44;
|
|
|
|
result.M41 = matrix1.M41 * inverse.M11 + matrix1.M42 * inverse.M21 + matrix1.M43 * inverse.M31 + matrix1.M44 * inverse.M41;
|
|
result.M42 = matrix1.M41 * inverse.M12 + matrix1.M42 * inverse.M22 + matrix1.M43 * inverse.M32 + matrix1.M44 * inverse.M42;
|
|
result.M43 = matrix1.M41 * inverse.M13 + matrix1.M42 * inverse.M23 + matrix1.M43 * inverse.M33 + matrix1.M44 * inverse.M43;
|
|
result.M44 = matrix1.M41 * inverse.M14 + matrix1.M42 * inverse.M24 + matrix1.M43 * inverse.M34 + matrix1.M44 * inverse.M44;
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
public static void Divide(ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
|
|
{
|
|
Matrix inverse = Matrix.Invert(matrix2);
|
|
result.M11 = matrix1.M11 * inverse.M11 + matrix1.M12 * inverse.M21 + matrix1.M13 * inverse.M31 + matrix1.M14 * inverse.M41;
|
|
result.M12 = matrix1.M11 * inverse.M12 + matrix1.M12 * inverse.M22 + matrix1.M13 * inverse.M32 + matrix1.M14 * inverse.M42;
|
|
result.M13 = matrix1.M11 * inverse.M13 + matrix1.M12 * inverse.M23 + matrix1.M13 * inverse.M33 + matrix1.M14 * inverse.M43;
|
|
result.M14 = matrix1.M11 * inverse.M14 + matrix1.M12 * inverse.M24 + matrix1.M13 * inverse.M34 + matrix1.M14 * inverse.M44;
|
|
|
|
result.M21 = matrix1.M21 * inverse.M11 + matrix1.M22 * inverse.M21 + matrix1.M23 * inverse.M31 + matrix1.M24 * inverse.M41;
|
|
result.M22 = matrix1.M21 * inverse.M12 + matrix1.M22 * inverse.M22 + matrix1.M23 * inverse.M32 + matrix1.M24 * inverse.M42;
|
|
result.M23 = matrix1.M21 * inverse.M13 + matrix1.M22 * inverse.M23 + matrix1.M23 * inverse.M33 + matrix1.M24 * inverse.M43;
|
|
result.M24 = matrix1.M21 * inverse.M14 + matrix1.M22 * inverse.M24 + matrix1.M23 * inverse.M34 + matrix1.M24 * inverse.M44;
|
|
|
|
result.M31 = matrix1.M31 * inverse.M11 + matrix1.M32 * inverse.M21 + matrix1.M33 * inverse.M31 + matrix1.M34 * inverse.M41;
|
|
result.M32 = matrix1.M31 * inverse.M12 + matrix1.M32 * inverse.M22 + matrix1.M33 * inverse.M32 + matrix1.M34 * inverse.M42;
|
|
result.M33 = matrix1.M31 * inverse.M13 + matrix1.M32 * inverse.M23 + matrix1.M33 * inverse.M33 + matrix1.M34 * inverse.M43;
|
|
result.M34 = matrix1.M31 * inverse.M14 + matrix1.M32 * inverse.M24 + matrix1.M33 * inverse.M34 + matrix1.M34 * inverse.M44;
|
|
|
|
result.M41 = matrix1.M41 * inverse.M11 + matrix1.M42 * inverse.M21 + matrix1.M43 * inverse.M31 + matrix1.M44 * inverse.M41;
|
|
result.M42 = matrix1.M41 * inverse.M12 + matrix1.M42 * inverse.M22 + matrix1.M43 * inverse.M32 + matrix1.M44 * inverse.M42;
|
|
result.M43 = matrix1.M41 * inverse.M13 + matrix1.M42 * inverse.M23 + matrix1.M43 * inverse.M33 + matrix1.M44 * inverse.M43;
|
|
result.M44 = matrix1.M41 * inverse.M14 + matrix1.M42 * inverse.M24 + matrix1.M43 * inverse.M34 + matrix1.M44 * inverse.M44;
|
|
}
|
|
|
|
|
|
public static Matrix Divide(Matrix matrix1, float divider)
|
|
{
|
|
float inverseDivider = 1.0f / divider;
|
|
|
|
matrix1.M11 = matrix1.M11 * inverseDivider;
|
|
matrix1.M12 = matrix1.M12 * inverseDivider;
|
|
matrix1.M13 = matrix1.M13 * inverseDivider;
|
|
matrix1.M14 = matrix1.M14 * inverseDivider;
|
|
matrix1.M21 = matrix1.M21 * inverseDivider;
|
|
matrix1.M22 = matrix1.M22 * inverseDivider;
|
|
matrix1.M23 = matrix1.M23 * inverseDivider;
|
|
matrix1.M24 = matrix1.M24 * inverseDivider;
|
|
matrix1.M31 = matrix1.M31 * inverseDivider;
|
|
matrix1.M32 = matrix1.M32 * inverseDivider;
|
|
matrix1.M33 = matrix1.M33 * inverseDivider;
|
|
matrix1.M34 = matrix1.M34 * inverseDivider;
|
|
matrix1.M41 = matrix1.M41 * inverseDivider;
|
|
matrix1.M42 = matrix1.M42 * inverseDivider;
|
|
matrix1.M43 = matrix1.M43 * inverseDivider;
|
|
matrix1.M44 = matrix1.M44 * inverseDivider;
|
|
|
|
return matrix1;
|
|
}
|
|
|
|
|
|
public static void Divide(ref Matrix matrix1, float divider, out Matrix result)
|
|
{
|
|
float inverseDivider = 1.0f / divider;
|
|
result.M11 = matrix1.M11 * inverseDivider;
|
|
result.M12 = matrix1.M12 * inverseDivider;
|
|
result.M13 = matrix1.M13 * inverseDivider;
|
|
result.M14 = matrix1.M14 * inverseDivider;
|
|
result.M21 = matrix1.M21 * inverseDivider;
|
|
result.M22 = matrix1.M22 * inverseDivider;
|
|
result.M23 = matrix1.M23 * inverseDivider;
|
|
result.M24 = matrix1.M24 * inverseDivider;
|
|
result.M31 = matrix1.M31 * inverseDivider;
|
|
result.M32 = matrix1.M32 * inverseDivider;
|
|
result.M33 = matrix1.M33 * inverseDivider;
|
|
result.M34 = matrix1.M34 * inverseDivider;
|
|
result.M41 = matrix1.M41 * inverseDivider;
|
|
result.M42 = matrix1.M42 * inverseDivider;
|
|
result.M43 = matrix1.M43 * inverseDivider;
|
|
result.M44 = matrix1.M44 * inverseDivider;
|
|
}
|
|
|
|
public static Matrix Invert(Matrix matrix)
|
|
{
|
|
Invert(ref matrix, out matrix);
|
|
return matrix;
|
|
}
|
|
|
|
|
|
public static void Invert(ref Matrix matrix, out Matrix result)
|
|
{
|
|
//
|
|
// Use Laplace expansion theorem to calculate the inverse of a 4x4 matrix
|
|
//
|
|
// 1. Calculate the 2x2 determinants needed and the 4x4 determinant based on the 2x2 determinants
|
|
// 2. Create the adjugate matrix, which satisfies: A * adj(A) = det(A) * I
|
|
// 3. Divide adjugate matrix with the determinant to find the inverse
|
|
|
|
float det1 = matrix.M11 * matrix.M22 - matrix.M12 * matrix.M21;
|
|
float det2 = matrix.M11 * matrix.M23 - matrix.M13 * matrix.M21;
|
|
float det3 = matrix.M11 * matrix.M24 - matrix.M14 * matrix.M21;
|
|
float det4 = matrix.M12 * matrix.M23 - matrix.M13 * matrix.M22;
|
|
float det5 = matrix.M12 * matrix.M24 - matrix.M14 * matrix.M22;
|
|
float det6 = matrix.M13 * matrix.M24 - matrix.M14 * matrix.M23;
|
|
float det7 = matrix.M31 * matrix.M42 - matrix.M32 * matrix.M41;
|
|
float det8 = matrix.M31 * matrix.M43 - matrix.M33 * matrix.M41;
|
|
float det9 = matrix.M31 * matrix.M44 - matrix.M34 * matrix.M41;
|
|
float det10 = matrix.M32 * matrix.M43 - matrix.M33 * matrix.M42;
|
|
float det11 = matrix.M32 * matrix.M44 - matrix.M34 * matrix.M42;
|
|
float det12 = matrix.M33 * matrix.M44 - matrix.M34 * matrix.M43;
|
|
|
|
float detMatrix = (float)(det1 * det12 - det2 * det11 + det3 * det10 + det4 * det9 - det5 * det8 + det6 * det7);
|
|
|
|
float invDetMatrix = 1f / detMatrix;
|
|
|
|
Matrix ret; // Allow for matrix and result to point to the same structure
|
|
|
|
ret.M11 = (matrix.M22 * det12 - matrix.M23 * det11 + matrix.M24 * det10) * invDetMatrix;
|
|
ret.M12 = (-matrix.M12 * det12 + matrix.M13 * det11 - matrix.M14 * det10) * invDetMatrix;
|
|
ret.M13 = (matrix.M42 * det6 - matrix.M43 * det5 + matrix.M44 * det4) * invDetMatrix;
|
|
ret.M14 = (-matrix.M32 * det6 + matrix.M33 * det5 - matrix.M34 * det4) * invDetMatrix;
|
|
ret.M21 = (-matrix.M21 * det12 + matrix.M23 * det9 - matrix.M24 * det8) * invDetMatrix;
|
|
ret.M22 = (matrix.M11 * det12 - matrix.M13 * det9 + matrix.M14 * det8) * invDetMatrix;
|
|
ret.M23 = (-matrix.M41 * det6 + matrix.M43 * det3 - matrix.M44 * det2) * invDetMatrix;
|
|
ret.M24 = (matrix.M31 * det6 - matrix.M33 * det3 + matrix.M34 * det2) * invDetMatrix;
|
|
ret.M31 = (matrix.M21 * det11 - matrix.M22 * det9 + matrix.M24 * det7) * invDetMatrix;
|
|
ret.M32 = (-matrix.M11 * det11 + matrix.M12 * det9 - matrix.M14 * det7) * invDetMatrix;
|
|
ret.M33 = (matrix.M41 * det5 - matrix.M42 * det3 + matrix.M44 * det1) * invDetMatrix;
|
|
ret.M34 = (-matrix.M31 * det5 + matrix.M32 * det3 - matrix.M34 * det1) * invDetMatrix;
|
|
ret.M41 = (-matrix.M21 * det10 + matrix.M22 * det8 - matrix.M23 * det7) * invDetMatrix;
|
|
ret.M42 = (matrix.M11 * det10 - matrix.M12 * det8 + matrix.M13 * det7) * invDetMatrix;
|
|
ret.M43 = (-matrix.M41 * det4 + matrix.M42 * det2 - matrix.M43 * det1) * invDetMatrix;
|
|
ret.M44 = (matrix.M31 * det4 - matrix.M32 * det2 + matrix.M33 * det1) * invDetMatrix;
|
|
|
|
result = ret;
|
|
}
|
|
|
|
|
|
public static Matrix Lerp(Matrix matrix1, Matrix matrix2, float amount)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
|
|
public static void Lerp(ref Matrix matrix1, ref Matrix matrix2, float amount, out Matrix result)
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
public static Matrix Multiply(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
Matrix result;
|
|
|
|
result.M11 = matrix1.M11 * matrix2.M11 + matrix1.M12 * matrix2.M21 + matrix1.M13 * matrix2.M31 + matrix1.M14 * matrix2.M41;
|
|
result.M12 = matrix1.M11 * matrix2.M12 + matrix1.M12 * matrix2.M22 + matrix1.M13 * matrix2.M32 + matrix1.M14 * matrix2.M42;
|
|
result.M13 = matrix1.M11 * matrix2.M13 + matrix1.M12 * matrix2.M23 + matrix1.M13 * matrix2.M33 + matrix1.M14 * matrix2.M43;
|
|
result.M14 = matrix1.M11 * matrix2.M14 + matrix1.M12 * matrix2.M24 + matrix1.M13 * matrix2.M34 + matrix1.M14 * matrix2.M44;
|
|
|
|
result.M21 = matrix1.M21 * matrix2.M11 + matrix1.M22 * matrix2.M21 + matrix1.M23 * matrix2.M31 + matrix1.M24 * matrix2.M41;
|
|
result.M22 = matrix1.M21 * matrix2.M12 + matrix1.M22 * matrix2.M22 + matrix1.M23 * matrix2.M32 + matrix1.M24 * matrix2.M42;
|
|
result.M23 = matrix1.M21 * matrix2.M13 + matrix1.M22 * matrix2.M23 + matrix1.M23 * matrix2.M33 + matrix1.M24 * matrix2.M43;
|
|
result.M24 = matrix1.M21 * matrix2.M14 + matrix1.M22 * matrix2.M24 + matrix1.M23 * matrix2.M34 + matrix1.M24 * matrix2.M44;
|
|
|
|
result.M31 = matrix1.M31 * matrix2.M11 + matrix1.M32 * matrix2.M21 + matrix1.M33 * matrix2.M31 + matrix1.M34 * matrix2.M41;
|
|
result.M32 = matrix1.M31 * matrix2.M12 + matrix1.M32 * matrix2.M22 + matrix1.M33 * matrix2.M32 + matrix1.M34 * matrix2.M42;
|
|
result.M33 = matrix1.M31 * matrix2.M13 + matrix1.M32 * matrix2.M23 + matrix1.M33 * matrix2.M33 + matrix1.M34 * matrix2.M43;
|
|
result.M34 = matrix1.M31 * matrix2.M14 + matrix1.M32 * matrix2.M24 + matrix1.M33 * matrix2.M34 + matrix1.M34 * matrix2.M44;
|
|
|
|
result.M41 = matrix1.M41 * matrix2.M11 + matrix1.M42 * matrix2.M21 + matrix1.M43 * matrix2.M31 + matrix1.M44 * matrix2.M41;
|
|
result.M42 = matrix1.M41 * matrix2.M12 + matrix1.M42 * matrix2.M22 + matrix1.M43 * matrix2.M32 + matrix1.M44 * matrix2.M42;
|
|
result.M43 = matrix1.M41 * matrix2.M13 + matrix1.M42 * matrix2.M23 + matrix1.M43 * matrix2.M33 + matrix1.M44 * matrix2.M43;
|
|
result.M44 = matrix1.M41 * matrix2.M14 + matrix1.M42 * matrix2.M24 + matrix1.M43 * matrix2.M34 + matrix1.M44 * matrix2.M44;
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
public static void Multiply(ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
|
|
{
|
|
result.M11 = matrix1.M11 * matrix2.M11 + matrix1.M12 * matrix2.M21 + matrix1.M13 * matrix2.M31 + matrix1.M14 * matrix2.M41;
|
|
result.M12 = matrix1.M11 * matrix2.M12 + matrix1.M12 * matrix2.M22 + matrix1.M13 * matrix2.M32 + matrix1.M14 * matrix2.M42;
|
|
result.M13 = matrix1.M11 * matrix2.M13 + matrix1.M12 * matrix2.M23 + matrix1.M13 * matrix2.M33 + matrix1.M14 * matrix2.M43;
|
|
result.M14 = matrix1.M11 * matrix2.M14 + matrix1.M12 * matrix2.M24 + matrix1.M13 * matrix2.M34 + matrix1.M14 * matrix2.M44;
|
|
|
|
result.M21 = matrix1.M21 * matrix2.M11 + matrix1.M22 * matrix2.M21 + matrix1.M23 * matrix2.M31 + matrix1.M24 * matrix2.M41;
|
|
result.M22 = matrix1.M21 * matrix2.M12 + matrix1.M22 * matrix2.M22 + matrix1.M23 * matrix2.M32 + matrix1.M24 * matrix2.M42;
|
|
result.M23 = matrix1.M21 * matrix2.M13 + matrix1.M22 * matrix2.M23 + matrix1.M23 * matrix2.M33 + matrix1.M24 * matrix2.M43;
|
|
result.M24 = matrix1.M21 * matrix2.M14 + matrix1.M22 * matrix2.M24 + matrix1.M23 * matrix2.M34 + matrix1.M24 * matrix2.M44;
|
|
|
|
result.M31 = matrix1.M31 * matrix2.M11 + matrix1.M32 * matrix2.M21 + matrix1.M33 * matrix2.M31 + matrix1.M34 * matrix2.M41;
|
|
result.M32 = matrix1.M31 * matrix2.M12 + matrix1.M32 * matrix2.M22 + matrix1.M33 * matrix2.M32 + matrix1.M34 * matrix2.M42;
|
|
result.M33 = matrix1.M31 * matrix2.M13 + matrix1.M32 * matrix2.M23 + matrix1.M33 * matrix2.M33 + matrix1.M34 * matrix2.M43;
|
|
result.M34 = matrix1.M31 * matrix2.M14 + matrix1.M32 * matrix2.M24 + matrix1.M33 * matrix2.M34 + matrix1.M34 * matrix2.M44;
|
|
|
|
result.M41 = matrix1.M41 * matrix2.M11 + matrix1.M42 * matrix2.M21 + matrix1.M43 * matrix2.M31 + matrix1.M44 * matrix2.M41;
|
|
result.M42 = matrix1.M41 * matrix2.M12 + matrix1.M42 * matrix2.M22 + matrix1.M43 * matrix2.M32 + matrix1.M44 * matrix2.M42;
|
|
result.M43 = matrix1.M41 * matrix2.M13 + matrix1.M42 * matrix2.M23 + matrix1.M43 * matrix2.M33 + matrix1.M44 * matrix2.M43;
|
|
result.M44 = matrix1.M41 * matrix2.M14 + matrix1.M42 * matrix2.M24 + matrix1.M43 * matrix2.M34 + matrix1.M44 * matrix2.M44;
|
|
}
|
|
|
|
|
|
public static Matrix Multiply(Matrix matrix1, float factor)
|
|
{
|
|
matrix1.M11 *= factor;
|
|
matrix1.M12 *= factor;
|
|
matrix1.M13 *= factor;
|
|
matrix1.M14 *= factor;
|
|
matrix1.M21 *= factor;
|
|
matrix1.M22 *= factor;
|
|
matrix1.M23 *= factor;
|
|
matrix1.M24 *= factor;
|
|
matrix1.M31 *= factor;
|
|
matrix1.M32 *= factor;
|
|
matrix1.M33 *= factor;
|
|
matrix1.M34 *= factor;
|
|
matrix1.M41 *= factor;
|
|
matrix1.M42 *= factor;
|
|
matrix1.M43 *= factor;
|
|
matrix1.M44 *= factor;
|
|
return matrix1;
|
|
}
|
|
|
|
|
|
public static void Multiply(ref Matrix matrix1, float factor, out Matrix result)
|
|
{
|
|
result.M11 = matrix1.M11 * factor;
|
|
result.M12 = matrix1.M12 * factor;
|
|
result.M13 = matrix1.M13 * factor;
|
|
result.M14 = matrix1.M14 * factor;
|
|
result.M21 = matrix1.M21 * factor;
|
|
result.M22 = matrix1.M22 * factor;
|
|
result.M23 = matrix1.M23 * factor;
|
|
result.M24 = matrix1.M24 * factor;
|
|
result.M31 = matrix1.M31 * factor;
|
|
result.M32 = matrix1.M32 * factor;
|
|
result.M33 = matrix1.M33 * factor;
|
|
result.M34 = matrix1.M34 * factor;
|
|
result.M41 = matrix1.M41 * factor;
|
|
result.M42 = matrix1.M42 * factor;
|
|
result.M43 = matrix1.M43 * factor;
|
|
result.M44 = matrix1.M44 * factor;
|
|
}
|
|
|
|
|
|
public static Matrix Negate(Matrix matrix)
|
|
{
|
|
matrix.M11 = -matrix.M11;
|
|
matrix.M12 = -matrix.M12;
|
|
matrix.M13 = -matrix.M13;
|
|
matrix.M14 = -matrix.M14;
|
|
matrix.M21 = -matrix.M21;
|
|
matrix.M22 = -matrix.M22;
|
|
matrix.M23 = -matrix.M23;
|
|
matrix.M24 = -matrix.M24;
|
|
matrix.M31 = -matrix.M31;
|
|
matrix.M32 = -matrix.M32;
|
|
matrix.M33 = -matrix.M33;
|
|
matrix.M34 = -matrix.M34;
|
|
matrix.M41 = -matrix.M41;
|
|
matrix.M42 = -matrix.M42;
|
|
matrix.M43 = -matrix.M43;
|
|
matrix.M44 = -matrix.M44;
|
|
return matrix;
|
|
}
|
|
|
|
|
|
public static void Negate(ref Matrix matrix, out Matrix result)
|
|
{
|
|
result.M11 = matrix.M11;
|
|
result.M12 = matrix.M12;
|
|
result.M13 = matrix.M13;
|
|
result.M14 = matrix.M14;
|
|
result.M21 = matrix.M21;
|
|
result.M22 = matrix.M22;
|
|
result.M23 = matrix.M23;
|
|
result.M24 = matrix.M24;
|
|
result.M31 = matrix.M31;
|
|
result.M32 = matrix.M32;
|
|
result.M33 = matrix.M33;
|
|
result.M34 = matrix.M34;
|
|
result.M41 = matrix.M41;
|
|
result.M42 = matrix.M42;
|
|
result.M43 = matrix.M43;
|
|
result.M44 = matrix.M44;
|
|
}
|
|
|
|
public static Matrix Subtract(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
matrix1.M11 -= matrix2.M11;
|
|
matrix1.M12 -= matrix2.M12;
|
|
matrix1.M13 -= matrix2.M13;
|
|
matrix1.M14 -= matrix2.M14;
|
|
matrix1.M21 -= matrix2.M21;
|
|
matrix1.M22 -= matrix2.M22;
|
|
matrix1.M23 -= matrix2.M23;
|
|
matrix1.M24 -= matrix2.M24;
|
|
matrix1.M31 -= matrix2.M31;
|
|
matrix1.M32 -= matrix2.M32;
|
|
matrix1.M33 -= matrix2.M33;
|
|
matrix1.M34 -= matrix2.M34;
|
|
matrix1.M41 -= matrix2.M41;
|
|
matrix1.M42 -= matrix2.M42;
|
|
matrix1.M43 -= matrix2.M43;
|
|
matrix1.M44 -= matrix2.M44;
|
|
return matrix1;
|
|
}
|
|
|
|
public static void Subtract(ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
|
|
{
|
|
result.M11 = matrix1.M11 - matrix2.M11;
|
|
result.M12 = matrix1.M12 - matrix2.M12;
|
|
result.M13 = matrix1.M13 - matrix2.M13;
|
|
result.M14 = matrix1.M14 - matrix2.M14;
|
|
result.M21 = matrix1.M21 - matrix2.M21;
|
|
result.M22 = matrix1.M22 - matrix2.M22;
|
|
result.M23 = matrix1.M23 - matrix2.M23;
|
|
result.M24 = matrix1.M24 - matrix2.M24;
|
|
result.M31 = matrix1.M31 - matrix2.M31;
|
|
result.M32 = matrix1.M32 - matrix2.M32;
|
|
result.M33 = matrix1.M33 - matrix2.M33;
|
|
result.M34 = matrix1.M34 - matrix2.M34;
|
|
result.M41 = matrix1.M41 - matrix2.M41;
|
|
result.M42 = matrix1.M42 - matrix2.M42;
|
|
result.M43 = matrix1.M43 - matrix2.M43;
|
|
result.M44 = matrix1.M44 - matrix2.M44;
|
|
}
|
|
|
|
public static Matrix Transpose(Matrix matrix)
|
|
{
|
|
Matrix result;
|
|
|
|
result.M11 = matrix.M11;
|
|
result.M12 = matrix.M21;
|
|
result.M13 = matrix.M31;
|
|
result.M14 = matrix.M41;
|
|
|
|
result.M21 = matrix.M12;
|
|
result.M22 = matrix.M22;
|
|
result.M23 = matrix.M32;
|
|
result.M24 = matrix.M42;
|
|
|
|
result.M31 = matrix.M13;
|
|
result.M32 = matrix.M23;
|
|
result.M33 = matrix.M33;
|
|
result.M34 = matrix.M43;
|
|
|
|
result.M41 = matrix.M14;
|
|
result.M42 = matrix.M24;
|
|
result.M43 = matrix.M34;
|
|
result.M44 = matrix.M44;
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
public static void Transpose(ref Matrix matrix, out Matrix result)
|
|
{
|
|
result.M11 = matrix.M11;
|
|
result.M12 = matrix.M21;
|
|
result.M13 = matrix.M31;
|
|
result.M14 = matrix.M41;
|
|
|
|
result.M21 = matrix.M12;
|
|
result.M22 = matrix.M22;
|
|
result.M23 = matrix.M32;
|
|
result.M24 = matrix.M42;
|
|
|
|
result.M31 = matrix.M13;
|
|
result.M32 = matrix.M23;
|
|
result.M33 = matrix.M33;
|
|
result.M34 = matrix.M43;
|
|
|
|
result.M41 = matrix.M14;
|
|
result.M42 = matrix.M24;
|
|
result.M43 = matrix.M34;
|
|
result.M44 = matrix.M44;
|
|
}
|
|
|
|
#endregion Public Static Methods
|
|
|
|
#region Public Methods
|
|
|
|
public float Determinant()
|
|
{
|
|
float minor1, minor2, minor3, minor4, minor5, minor6;
|
|
|
|
minor1 = M31 * M42 - M32 * M41;
|
|
minor2 = M31 * M43 - M33 * M41;
|
|
minor3 = M31 * M44 - M34 * M41;
|
|
minor4 = M32 * M43 - M33 * M42;
|
|
minor5 = M32 * M44 - M34 * M42;
|
|
minor6 = M33 * M44 - M34 * M43;
|
|
|
|
return M11 * (M22 * minor6 - M23 * minor5 + M24 * minor4) -
|
|
M12 * (M21 * minor6 - M23 * minor3 + M24 * minor2) +
|
|
M13 * (M21 * minor5 - M22 * minor3 + M24 * minor1) -
|
|
M14 * (M21 * minor4 - M22 * minor2 + M23 * minor1);
|
|
}
|
|
|
|
public bool Equals(Matrix other)
|
|
{
|
|
return (this.M11 == other.M11) && (this.M12 == other.M12) &&
|
|
(this.M13 == other.M13) && (this.M14 == other.M14) &&
|
|
(this.M21 == other.M21) && (this.M22 == other.M22) &&
|
|
(this.M23 == other.M23) && (this.M24 == other.M24) &&
|
|
(this.M31 == other.M31) && (this.M32 == other.M32) &&
|
|
(this.M33 == other.M33) && (this.M34 == other.M34) &&
|
|
(this.M41 == other.M41) && (this.M42 == other.M42) &&
|
|
(this.M43 == other.M43) && (this.M44 == other.M44);
|
|
}
|
|
|
|
#endregion Public Methods
|
|
|
|
#region Operators
|
|
|
|
public static Matrix operator +(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
matrix1.M11 += matrix2.M11;
|
|
matrix1.M12 += matrix2.M12;
|
|
matrix1.M13 += matrix2.M13;
|
|
matrix1.M14 += matrix2.M14;
|
|
matrix1.M21 += matrix2.M21;
|
|
matrix1.M22 += matrix2.M22;
|
|
matrix1.M23 += matrix2.M23;
|
|
matrix1.M24 += matrix2.M24;
|
|
matrix1.M31 += matrix2.M31;
|
|
matrix1.M32 += matrix2.M32;
|
|
matrix1.M33 += matrix2.M33;
|
|
matrix1.M34 += matrix2.M34;
|
|
matrix1.M41 += matrix2.M41;
|
|
matrix1.M42 += matrix2.M42;
|
|
matrix1.M43 += matrix2.M43;
|
|
matrix1.M44 += matrix2.M44;
|
|
return matrix1;
|
|
}
|
|
|
|
public static Matrix operator /(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
Matrix inverse = Matrix.Invert(matrix2), result;
|
|
|
|
result.M11 = matrix1.M11 * inverse.M11 + matrix1.M12 * inverse.M21 + matrix1.M13 * inverse.M31 + matrix1.M14 * inverse.M41;
|
|
result.M12 = matrix1.M11 * inverse.M12 + matrix1.M12 * inverse.M22 + matrix1.M13 * inverse.M32 + matrix1.M14 * inverse.M42;
|
|
result.M13 = matrix1.M11 * inverse.M13 + matrix1.M12 * inverse.M23 + matrix1.M13 * inverse.M33 + matrix1.M14 * inverse.M43;
|
|
result.M14 = matrix1.M11 * inverse.M14 + matrix1.M12 * inverse.M24 + matrix1.M13 * inverse.M34 + matrix1.M14 * inverse.M44;
|
|
|
|
result.M21 = matrix1.M21 * inverse.M11 + matrix1.M22 * inverse.M21 + matrix1.M23 * inverse.M31 + matrix1.M24 * inverse.M41;
|
|
result.M22 = matrix1.M21 * inverse.M12 + matrix1.M22 * inverse.M22 + matrix1.M23 * inverse.M32 + matrix1.M24 * inverse.M42;
|
|
result.M23 = matrix1.M21 * inverse.M13 + matrix1.M22 * inverse.M23 + matrix1.M23 * inverse.M33 + matrix1.M24 * inverse.M43;
|
|
result.M24 = matrix1.M21 * inverse.M14 + matrix1.M22 * inverse.M24 + matrix1.M23 * inverse.M34 + matrix1.M24 * inverse.M44;
|
|
|
|
result.M31 = matrix1.M31 * inverse.M11 + matrix1.M32 * inverse.M21 + matrix1.M33 * inverse.M31 + matrix1.M34 * inverse.M41;
|
|
result.M32 = matrix1.M31 * inverse.M12 + matrix1.M32 * inverse.M22 + matrix1.M33 * inverse.M32 + matrix1.M34 * inverse.M42;
|
|
result.M33 = matrix1.M31 * inverse.M13 + matrix1.M32 * inverse.M23 + matrix1.M33 * inverse.M33 + matrix1.M34 * inverse.M43;
|
|
result.M34 = matrix1.M31 * inverse.M14 + matrix1.M32 * inverse.M24 + matrix1.M33 * inverse.M34 + matrix1.M34 * inverse.M44;
|
|
|
|
result.M41 = matrix1.M41 * inverse.M11 + matrix1.M42 * inverse.M21 + matrix1.M43 * inverse.M31 + matrix1.M44 * inverse.M41;
|
|
result.M42 = matrix1.M41 * inverse.M12 + matrix1.M42 * inverse.M22 + matrix1.M43 * inverse.M32 + matrix1.M44 * inverse.M42;
|
|
result.M43 = matrix1.M41 * inverse.M13 + matrix1.M42 * inverse.M23 + matrix1.M43 * inverse.M33 + matrix1.M44 * inverse.M43;
|
|
result.M44 = matrix1.M41 * inverse.M14 + matrix1.M42 * inverse.M24 + matrix1.M43 * inverse.M34 + matrix1.M44 * inverse.M44;
|
|
|
|
return result;
|
|
}
|
|
|
|
public static Matrix operator /(Matrix matrix1, float divider)
|
|
{
|
|
float inverseDivider = 1.0f / divider;
|
|
|
|
matrix1.M11 = matrix1.M11 * inverseDivider;
|
|
matrix1.M12 = matrix1.M12 * inverseDivider;
|
|
matrix1.M13 = matrix1.M13 * inverseDivider;
|
|
matrix1.M14 = matrix1.M14 * inverseDivider;
|
|
matrix1.M21 = matrix1.M21 * inverseDivider;
|
|
matrix1.M22 = matrix1.M22 * inverseDivider;
|
|
matrix1.M23 = matrix1.M23 * inverseDivider;
|
|
matrix1.M24 = matrix1.M24 * inverseDivider;
|
|
matrix1.M31 = matrix1.M31 * inverseDivider;
|
|
matrix1.M32 = matrix1.M32 * inverseDivider;
|
|
matrix1.M33 = matrix1.M33 * inverseDivider;
|
|
matrix1.M34 = matrix1.M34 * inverseDivider;
|
|
matrix1.M41 = matrix1.M41 * inverseDivider;
|
|
matrix1.M42 = matrix1.M42 * inverseDivider;
|
|
matrix1.M43 = matrix1.M43 * inverseDivider;
|
|
matrix1.M44 = matrix1.M44 * inverseDivider;
|
|
|
|
return matrix1;
|
|
}
|
|
|
|
public static bool operator ==(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
return (matrix1.M11 == matrix2.M11) && (matrix1.M12 == matrix2.M12) &&
|
|
(matrix1.M13 == matrix2.M13) && (matrix1.M14 == matrix2.M14) &&
|
|
(matrix1.M21 == matrix2.M21) && (matrix1.M22 == matrix2.M22) &&
|
|
(matrix1.M23 == matrix2.M23) && (matrix1.M24 == matrix2.M24) &&
|
|
(matrix1.M31 == matrix2.M31) && (matrix1.M32 == matrix2.M32) &&
|
|
(matrix1.M33 == matrix2.M33) && (matrix1.M34 == matrix2.M34) &&
|
|
(matrix1.M41 == matrix2.M41) && (matrix1.M42 == matrix2.M42) &&
|
|
(matrix1.M43 == matrix2.M43) && (matrix1.M44 == matrix2.M44);
|
|
}
|
|
|
|
public static bool operator !=(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
return (matrix1.M11 != matrix2.M11) || (matrix1.M12 != matrix2.M12) ||
|
|
(matrix1.M13 != matrix2.M13) || (matrix1.M14 != matrix2.M14) ||
|
|
(matrix1.M21 != matrix2.M21) || (matrix1.M22 != matrix2.M22) ||
|
|
(matrix1.M23 != matrix2.M23) || (matrix1.M24 != matrix2.M24) ||
|
|
(matrix1.M31 != matrix2.M31) || (matrix1.M32 != matrix2.M32) ||
|
|
(matrix1.M33 != matrix2.M33) || (matrix1.M34 != matrix2.M34) ||
|
|
(matrix1.M41 != matrix2.M41) || (matrix1.M42 != matrix2.M42) ||
|
|
(matrix1.M43 != matrix2.M43) || (matrix1.M44 != matrix2.M44);
|
|
}
|
|
|
|
public static Matrix operator *(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
Matrix result;
|
|
|
|
result.M11 = matrix1.M11 * matrix2.M11 + matrix1.M12 * matrix2.M21 + matrix1.M13 * matrix2.M31 + matrix1.M14 * matrix2.M41;
|
|
result.M12 = matrix1.M11 * matrix2.M12 + matrix1.M12 * matrix2.M22 + matrix1.M13 * matrix2.M32 + matrix1.M14 * matrix2.M42;
|
|
result.M13 = matrix1.M11 * matrix2.M13 + matrix1.M12 * matrix2.M23 + matrix1.M13 * matrix2.M33 + matrix1.M14 * matrix2.M43;
|
|
result.M14 = matrix1.M11 * matrix2.M14 + matrix1.M12 * matrix2.M24 + matrix1.M13 * matrix2.M34 + matrix1.M14 * matrix2.M44;
|
|
|
|
result.M21 = matrix1.M21 * matrix2.M11 + matrix1.M22 * matrix2.M21 + matrix1.M23 * matrix2.M31 + matrix1.M24 * matrix2.M41;
|
|
result.M22 = matrix1.M21 * matrix2.M12 + matrix1.M22 * matrix2.M22 + matrix1.M23 * matrix2.M32 + matrix1.M24 * matrix2.M42;
|
|
result.M23 = matrix1.M21 * matrix2.M13 + matrix1.M22 * matrix2.M23 + matrix1.M23 * matrix2.M33 + matrix1.M24 * matrix2.M43;
|
|
result.M24 = matrix1.M21 * matrix2.M14 + matrix1.M22 * matrix2.M24 + matrix1.M23 * matrix2.M34 + matrix1.M24 * matrix2.M44;
|
|
|
|
result.M31 = matrix1.M31 * matrix2.M11 + matrix1.M32 * matrix2.M21 + matrix1.M33 * matrix2.M31 + matrix1.M34 * matrix2.M41;
|
|
result.M32 = matrix1.M31 * matrix2.M12 + matrix1.M32 * matrix2.M22 + matrix1.M33 * matrix2.M32 + matrix1.M34 * matrix2.M42;
|
|
result.M33 = matrix1.M31 * matrix2.M13 + matrix1.M32 * matrix2.M23 + matrix1.M33 * matrix2.M33 + matrix1.M34 * matrix2.M43;
|
|
result.M34 = matrix1.M31 * matrix2.M14 + matrix1.M32 * matrix2.M24 + matrix1.M33 * matrix2.M34 + matrix1.M34 * matrix2.M44;
|
|
|
|
result.M41 = matrix1.M41 * matrix2.M11 + matrix1.M42 * matrix2.M21 + matrix1.M43 * matrix2.M31 + matrix1.M44 * matrix2.M41;
|
|
result.M42 = matrix1.M41 * matrix2.M12 + matrix1.M42 * matrix2.M22 + matrix1.M43 * matrix2.M32 + matrix1.M44 * matrix2.M42;
|
|
result.M43 = matrix1.M41 * matrix2.M13 + matrix1.M42 * matrix2.M23 + matrix1.M43 * matrix2.M33 + matrix1.M44 * matrix2.M43;
|
|
result.M44 = matrix1.M41 * matrix2.M14 + matrix1.M42 * matrix2.M24 + matrix1.M43 * matrix2.M34 + matrix1.M44 * matrix2.M44;
|
|
|
|
return result;
|
|
}
|
|
|
|
public static Matrix operator *(Matrix matrix, float scaleFactor)
|
|
{
|
|
matrix.M11 = matrix.M11 * scaleFactor;
|
|
matrix.M12 = matrix.M12 * scaleFactor;
|
|
matrix.M13 = matrix.M13 * scaleFactor;
|
|
matrix.M14 = matrix.M14 * scaleFactor;
|
|
matrix.M21 = matrix.M21 * scaleFactor;
|
|
matrix.M22 = matrix.M22 * scaleFactor;
|
|
matrix.M23 = matrix.M23 * scaleFactor;
|
|
matrix.M24 = matrix.M24 * scaleFactor;
|
|
matrix.M31 = matrix.M31 * scaleFactor;
|
|
matrix.M32 = matrix.M32 * scaleFactor;
|
|
matrix.M33 = matrix.M33 * scaleFactor;
|
|
matrix.M34 = matrix.M34 * scaleFactor;
|
|
matrix.M41 = matrix.M41 * scaleFactor;
|
|
matrix.M42 = matrix.M42 * scaleFactor;
|
|
matrix.M43 = matrix.M43 * scaleFactor;
|
|
matrix.M44 = matrix.M44 * scaleFactor;
|
|
return matrix;
|
|
}
|
|
|
|
public static Matrix operator *(float scaleFactor, Matrix matrix)
|
|
{
|
|
matrix.M11 = matrix.M11 * scaleFactor;
|
|
matrix.M12 = matrix.M12 * scaleFactor;
|
|
matrix.M13 = matrix.M13 * scaleFactor;
|
|
matrix.M14 = matrix.M14 * scaleFactor;
|
|
matrix.M21 = matrix.M21 * scaleFactor;
|
|
matrix.M22 = matrix.M22 * scaleFactor;
|
|
matrix.M23 = matrix.M23 * scaleFactor;
|
|
matrix.M24 = matrix.M24 * scaleFactor;
|
|
matrix.M31 = matrix.M31 * scaleFactor;
|
|
matrix.M32 = matrix.M32 * scaleFactor;
|
|
matrix.M33 = matrix.M33 * scaleFactor;
|
|
matrix.M34 = matrix.M34 * scaleFactor;
|
|
matrix.M41 = matrix.M41 * scaleFactor;
|
|
matrix.M42 = matrix.M42 * scaleFactor;
|
|
matrix.M43 = matrix.M43 * scaleFactor;
|
|
matrix.M44 = matrix.M44 * scaleFactor;
|
|
return matrix;
|
|
}
|
|
|
|
public static Matrix operator -(Matrix matrix1, Matrix matrix2)
|
|
{
|
|
matrix1.M11 -= matrix2.M11;
|
|
matrix1.M12 -= matrix2.M12;
|
|
matrix1.M13 -= matrix2.M13;
|
|
matrix1.M14 -= matrix2.M14;
|
|
matrix1.M21 -= matrix2.M21;
|
|
matrix1.M22 -= matrix2.M22;
|
|
matrix1.M23 -= matrix2.M23;
|
|
matrix1.M24 -= matrix2.M24;
|
|
matrix1.M31 -= matrix2.M31;
|
|
matrix1.M32 -= matrix2.M32;
|
|
matrix1.M33 -= matrix2.M33;
|
|
matrix1.M34 -= matrix2.M34;
|
|
matrix1.M41 -= matrix2.M41;
|
|
matrix1.M42 -= matrix2.M42;
|
|
matrix1.M43 -= matrix2.M43;
|
|
matrix1.M44 -= matrix2.M44;
|
|
return matrix1;
|
|
}
|
|
|
|
|
|
public static Matrix operator -(Matrix matrix)
|
|
{
|
|
matrix.M11 = -matrix.M11;
|
|
matrix.M12 = -matrix.M12;
|
|
matrix.M13 = -matrix.M13;
|
|
matrix.M14 = -matrix.M14;
|
|
matrix.M21 = -matrix.M21;
|
|
matrix.M22 = -matrix.M22;
|
|
matrix.M23 = -matrix.M23;
|
|
matrix.M24 = -matrix.M24;
|
|
matrix.M31 = -matrix.M31;
|
|
matrix.M32 = -matrix.M32;
|
|
matrix.M33 = -matrix.M33;
|
|
matrix.M34 = -matrix.M34;
|
|
matrix.M41 = -matrix.M41;
|
|
matrix.M42 = -matrix.M42;
|
|
matrix.M43 = -matrix.M43;
|
|
matrix.M44 = -matrix.M44;
|
|
return matrix;
|
|
}
|
|
|
|
#endregion
|
|
|
|
#region Object Overrides
|
|
|
|
public override bool Equals(object obj)
|
|
{
|
|
if (obj is Matrix)
|
|
return this == (Matrix)obj;
|
|
return false;
|
|
}
|
|
|
|
public override int GetHashCode()
|
|
{
|
|
throw new NotImplementedException();
|
|
}
|
|
|
|
public override string ToString()
|
|
{
|
|
return "{ {M11:" + M11 + " M12:" + M12 + " M13:" + M13 + " M14:" + M14 + "}" +
|
|
" {M21:" + M21 + " M22:" + M22 + " M23:" + M23 + " M24:" + M24 + "}" +
|
|
" {M31:" + M31 + " M32:" + M32 + " M33:" + M33 + " M34:" + M34 + "}" +
|
|
" {M41:" + M41 + " M42:" + M42 + " M43:" + M43 + " M44:" + M44 + "} }";
|
|
}
|
|
|
|
#endregion
|
|
|
|
}
|
|
} |