public static void Invert(ref Fixed64Matrix matrix, out Fixed64Matrix result)
{
Fixed64 determinantInverse = 1 / matrix.Determinant();
Fixed64 m11 = (matrix.M22 * matrix.M33 - matrix.M23 * matrix.M32) * determinantInverse;
Fixed64 m12 = (matrix.M13 * matrix.M32 - matrix.M33 * matrix.M12) * determinantInverse;
Fixed64 m13 = (matrix.M12 * matrix.M23 - matrix.M22 * matrix.M13) * determinantInverse;
Fixed64 m21 = (matrix.M23 * matrix.M31 - matrix.M21 * matrix.M33) * determinantInverse;
Fixed64 m22 = (matrix.M11 * matrix.M33 - matrix.M13 * matrix.M31) * determinantInverse;
Fixed64 m23 = (matrix.M13 * matrix.M21 - matrix.M11 * matrix.M23) * determinantInverse;
Fixed64 m31 = (matrix.M21 * matrix.M32 - matrix.M22 * matrix.M31) * determinantInverse;
Fixed64 m32 = (matrix.M12 * matrix.M31 - matrix.M11 * matrix.M32) * determinantInverse;
Fixed64 m33 = (matrix.M11 * matrix.M22 - matrix.M12 * matrix.M21) * determinantInverse;
result.M11 = m11;
result.M12 = m12;
result.M13 = m13;
result.M21 = m21;
result.M22 = m22;
result.M23 = m23;
result.M31 = m31;
result.M32 = m32;
result.M33 = m33;
}
/// <summary>
/// Matrices are added.
/// </summary>
/// <param name="matrix1">The first matrix.</param>
/// <param name="matrix2">The second matrix.</param>
/// <param name="result">The sum of both matrices.</param>
public static void Add(ref Fixed64Matrix matrix1, ref Fixed64Matrix matrix2, out Fixed64Matrix result)
{
result.M11 = matrix1.M11 + matrix2.M11;
result.M12 = matrix1.M12 + matrix2.M12;
result.M13 = matrix1.M13 + matrix2.M13;
result.M21 = matrix1.M21 + matrix2.M21;
result.M22 = matrix1.M22 + matrix2.M22;
result.M23 = matrix1.M23 + matrix2.M23;
result.M31 = matrix1.M31 + matrix2.M31;
result.M32 = matrix1.M32 + matrix2.M32;
result.M33 = matrix1.M33 + matrix2.M33;
}
/// <summary>
/// Creates the transposed matrix.
/// </summary>
/// <param name="matrix">The matrix which should be transposed.</param>
/// <param name="result">The transposed JMatrix.</param>
public static void Transpose(ref Fixed64Matrix matrix, out Fixed64Matrix result)
{
result.M11 = matrix.M11;
result.M12 = matrix.M21;
result.M13 = matrix.M31;
result.M21 = matrix.M12;
result.M22 = matrix.M22;
result.M23 = matrix.M32;
result.M31 = matrix.M13;
result.M32 = matrix.M23;
result.M33 = matrix.M33;
}
/// <summary>
/// Changes every sign of the matrix entry to '+'
/// </summary>
/// <param name="matrix">The matrix.</param>
/// <param name="result">The absolute matrix.</param>
public static void Absolute(ref Fixed64Matrix matrix, out Fixed64Matrix result)
{
result.M11 = Fixed64.Abs(matrix.M11);
result.M12 = Fixed64.Abs(matrix.M12);
result.M13 = Fixed64.Abs(matrix.M13);
result.M21 = Fixed64.Abs(matrix.M21);
result.M22 = Fixed64.Abs(matrix.M22);
result.M23 = Fixed64.Abs(matrix.M23);
result.M31 = Fixed64.Abs(matrix.M31);
result.M32 = Fixed64.Abs(matrix.M32);
result.M33 = Fixed64.Abs(matrix.M33);
}
static Fixed64Matrix()
{
Zero = new Fixed64Matrix();
Identity = new Fixed64Matrix
{
M11 = Fixed64.One,
M22 = Fixed64.One,
M33 = Fixed64.One
};
InternalIdentity = Identity;
}
/// <summary>
/// Multiply a matrix by a scalefactor.
/// </summary>
/// <param name="matrix1">The matrix.</param>
/// <param name="scaleFactor">The scale factor.</param>
/// <param name="result">A JMatrix multiplied by the scale factor.</param>
public static void Multiply(ref Fixed64Matrix matrix1, Fixed64 scaleFactor, out Fixed64Matrix result)
{
Fixed64 num = scaleFactor;
result.M11 = matrix1.M11 * num;
result.M12 = matrix1.M12 * num;
result.M13 = matrix1.M13 * num;
result.M21 = matrix1.M21 * num;
result.M22 = matrix1.M22 * num;
result.M23 = matrix1.M23 * num;
result.M31 = matrix1.M31 * num;
result.M32 = matrix1.M32 * num;
result.M33 = matrix1.M33 * num;
}
public static void CreateRotationZ(Fixed64 radians, out Fixed64Matrix result)
{
Fixed64 num2 = Fixed64.Cos(radians);
Fixed64 num = Fixed64.Sin(radians);
result.M11 = num2;
result.M12 = num;
result.M13 = Fixed64.Zero;
result.M21 = -num;
result.M22 = num2;
result.M23 = Fixed64.Zero;
result.M31 = Fixed64.Zero;
result.M32 = Fixed64.Zero;
result.M33 = Fixed64.One;
}
public static void LookAt(Fixed64Vector3 forward, Fixed64Vector3 upwards, out Fixed64Matrix result)
{
Fixed64Vector3 zaxis = forward; zaxis.Normalize();
Fixed64Vector3 xaxis = Fixed64Vector3.Cross(upwards, zaxis); xaxis.Normalize();
Fixed64Vector3 yaxis = Fixed64Vector3.Cross(zaxis, xaxis);
result.M11 = xaxis.x;
result.M21 = yaxis.x;
result.M31 = zaxis.x;
result.M12 = xaxis.y;
result.M22 = yaxis.y;
result.M32 = zaxis.y;
result.M13 = xaxis.z;
result.M23 = yaxis.z;
result.M33 = zaxis.z;
}
/// <summary>
/// Calculates the inverse of a give matrix.
/// </summary>
/// <param name="matrix">The matrix to invert.</param>
/// <param name="result">The inverted JMatrix.</param>
public static void Inverse(ref Fixed64Matrix matrix, out Fixed64Matrix result)
{
Fixed64 det = 1024 * matrix.M11 * matrix.M22 * matrix.M33 -
1024 * matrix.M11 * matrix.M23 * matrix.M32 -
1024 * matrix.M12 * matrix.M21 * matrix.M33 +
1024 * matrix.M12 * matrix.M23 * matrix.M31 +
1024 * matrix.M13 * matrix.M21 * matrix.M32 -
1024 * matrix.M13 * matrix.M22 * matrix.M31;
Fixed64 num11 = 1024 * matrix.M22 * matrix.M33 - 1024 * matrix.M23 * matrix.M32;
Fixed64 num12 = 1024 * matrix.M13 * matrix.M32 - 1024 * matrix.M12 * matrix.M33;
Fixed64 num13 = 1024 * matrix.M12 * matrix.M23 - 1024 * matrix.M22 * matrix.M13;
Fixed64 num21 = 1024 * matrix.M23 * matrix.M31 - 1024 * matrix.M33 * matrix.M21;
Fixed64 num22 = 1024 * matrix.M11 * matrix.M33 - 1024 * matrix.M31 * matrix.M13;
Fixed64 num23 = 1024 * matrix.M13 * matrix.M21 - 1024 * matrix.M23 * matrix.M11;
Fixed64 num31 = 1024 * matrix.M21 * matrix.M32 - 1024 * matrix.M31 * matrix.M22;
Fixed64 num32 = 1024 * matrix.M12 * matrix.M31 - 1024 * matrix.M32 * matrix.M11;
Fixed64 num33 = 1024 * matrix.M11 * matrix.M22 - 1024 * matrix.M21 * matrix.M12;
if (det == 0)
{
result.M11 = Fixed64.PositiveInfinity;
result.M12 = Fixed64.PositiveInfinity;
result.M13 = Fixed64.PositiveInfinity;
result.M21 = Fixed64.PositiveInfinity;
result.M22 = Fixed64.PositiveInfinity;
result.M23 = Fixed64.PositiveInfinity;
result.M31 = Fixed64.PositiveInfinity;
result.M32 = Fixed64.PositiveInfinity;
result.M33 = Fixed64.PositiveInfinity;
}
else
{
result.M11 = num11 / det;
result.M12 = num12 / det;
result.M13 = num13 / det;
result.M21 = num21 / det;
result.M22 = num22 / det;
result.M23 = num23 / det;
result.M31 = num31 / det;
result.M32 = num32 / det;
result.M33 = num33 / det;
}
}
public override bool Equals(object obj)
{
if (!(obj is Fixed64Matrix))
{
return(false);
}
Fixed64Matrix other = (Fixed64Matrix)obj;
return(M11 == other.M11 &&
M12 == other.M12 &&
M13 == other.M13 &&
M21 == other.M21 &&
M22 == other.M22 &&
M23 == other.M23 &&
M31 == other.M31 &&
M32 == other.M32 &&
M33 == other.M33);
}
/// <summary>
/// Multiply two matrices. Notice: matrix multiplication is not commutative.
/// </summary>
/// <param name="matrix1">The first matrix.</param>
/// <param name="matrix2">The second matrix.</param>
/// <param name="result">The product of both matrices.</param>
public static void Multiply(ref Fixed64Matrix matrix1, ref Fixed64Matrix matrix2, out Fixed64Matrix result)
{
Fixed64 num0 = ((matrix1.M11 * matrix2.M11) + (matrix1.M12 * matrix2.M21)) + (matrix1.M13 * matrix2.M31);
Fixed64 num1 = ((matrix1.M11 * matrix2.M12) + (matrix1.M12 * matrix2.M22)) + (matrix1.M13 * matrix2.M32);
Fixed64 num2 = ((matrix1.M11 * matrix2.M13) + (matrix1.M12 * matrix2.M23)) + (matrix1.M13 * matrix2.M33);
Fixed64 num3 = ((matrix1.M21 * matrix2.M11) + (matrix1.M22 * matrix2.M21)) + (matrix1.M23 * matrix2.M31);
Fixed64 num4 = ((matrix1.M21 * matrix2.M12) + (matrix1.M22 * matrix2.M22)) + (matrix1.M23 * matrix2.M32);
Fixed64 num5 = ((matrix1.M21 * matrix2.M13) + (matrix1.M22 * matrix2.M23)) + (matrix1.M23 * matrix2.M33);
Fixed64 num6 = ((matrix1.M31 * matrix2.M11) + (matrix1.M32 * matrix2.M21)) + (matrix1.M33 * matrix2.M31);
Fixed64 num7 = ((matrix1.M31 * matrix2.M12) + (matrix1.M32 * matrix2.M22)) + (matrix1.M33 * matrix2.M32);
Fixed64 num8 = ((matrix1.M31 * matrix2.M13) + (matrix1.M32 * matrix2.M23)) + (matrix1.M33 * matrix2.M33);
result.M11 = num0;
result.M12 = num1;
result.M13 = num2;
result.M21 = num3;
result.M22 = num4;
result.M23 = num5;
result.M31 = num6;
result.M32 = num7;
result.M33 = num8;
}
/// <summary>
/// Creates a JMatrix representing an orientation from a quaternion.
/// </summary>
/// <param name="quaternion">The quaternion the matrix should be created from.</param>
/// <param name="result">JMatrix representing an orientation.</param>
public static void CreateFromQuaternion(ref Fixed64Quaternion quaternion, out Fixed64Matrix result)
{
Fixed64 num9 = quaternion.x * quaternion.x;
Fixed64 num8 = quaternion.y * quaternion.y;
Fixed64 num7 = quaternion.z * quaternion.z;
Fixed64 num6 = quaternion.x * quaternion.y;
Fixed64 num5 = quaternion.z * quaternion.w;
Fixed64 num4 = quaternion.z * quaternion.x;
Fixed64 num3 = quaternion.y * quaternion.w;
Fixed64 num2 = quaternion.y * quaternion.z;
Fixed64 num = quaternion.x * quaternion.w;
result.M11 = Fixed64.One - (2 * (num8 + num7));
result.M12 = 2 * (num6 + num5);
result.M13 = 2 * (num4 - num3);
result.M21 = 2 * (num6 - num5);
result.M22 = Fixed64.One - (2 * (num7 + num9));
result.M23 = 2 * (num2 + num);
result.M31 = 2 * (num4 + num3);
result.M32 = 2 * (num2 - num);
result.M33 = Fixed64.One - (2 * (num8 + num9));
}
/// <summary>
/// Creates a matrix which rotates around the given axis by the given angle.
/// </summary>
/// <param name="axis">The axis.</param>
/// <param name="angle">The angle.</param>
/// <param name="result">The resulting rotation matrix</param>
public static void CreateFromAxisAngle(ref Fixed64Vector3 axis, Fixed64 angle, out Fixed64Matrix result)
{
Fixed64 x = axis.x;
Fixed64 y = axis.y;
Fixed64 z = axis.z;
Fixed64 num2 = Fixed64.Sin(angle);
Fixed64 num = Fixed64.Cos(angle);
Fixed64 num11 = x * x;
Fixed64 num10 = y * y;
Fixed64 num9 = z * z;
Fixed64 num8 = x * y;
Fixed64 num7 = x * z;
Fixed64 num6 = y * z;
result.M11 = num11 + (num * (Fixed64.One - num11));
result.M12 = (num8 - (num * num8)) + (num2 * z);
result.M13 = (num7 - (num * num7)) - (num2 * y);
result.M21 = (num8 - (num * num8)) - (num2 * z);
result.M22 = num10 + (num * (Fixed64.One - num10));
result.M23 = (num6 - (num * num6)) + (num2 * x);
result.M31 = (num7 - (num * num7)) + (num2 * y);
result.M32 = (num6 - (num * num6)) - (num2 * x);
result.M33 = num9 + (num * (Fixed64.One - num9));
}
/// <summary>
/// Matrices are added.
/// </summary>
/// <param name="matrix1">The first matrix.</param>
/// <param name="matrix2">The second matrix.</param>
/// <returns>The sum of both matrices.</returns>
public static Fixed64Matrix Add(Fixed64Matrix matrix1, Fixed64Matrix matrix2)
{
Add(ref matrix1, ref matrix2, out Fixed64Matrix result);
return(result);
}
/// <summary>
/// Creates the transposed matrix.
/// </summary>
/// <param name="matrix">The matrix which should be transposed.</param>
/// <returns>The transposed JMatrix.</returns>
public static Fixed64Matrix Transpose(Fixed64Matrix matrix)
{
Transpose(ref matrix, out Fixed64Matrix result);
return(result);
}
/// <summary>
/// Multiply two matrices. Notice: matrix multiplication is not commutative.
/// </summary>
/// <param name="matrix1">The first matrix.</param>
/// <param name="matrix2">The second matrix.</param>
/// <returns>The product of both matrices.</returns>
public static Fixed64Matrix Multiply(Fixed64Matrix matrix1, Fixed64Matrix matrix2)
{
Multiply(ref matrix1, ref matrix2, out Fixed64Matrix result);
return(result);
}
/// <summary>
/// Multiply a matrix by a scalefactor.
/// </summary>
/// <param name="matrix1">The matrix.</param>
/// <param name="scaleFactor">The scale factor.</param>
/// <returns>A JMatrix multiplied by the scale factor.</returns>
public static Fixed64Matrix Multiply(Fixed64Matrix matrix1, Fixed64 scaleFactor)
{
Multiply(ref matrix1, scaleFactor, out Fixed64Matrix result);
return(result);
}
/// <summary>
/// Calculates the inverse of a give matrix.
/// </summary>
/// <param name="matrix">The matrix to invert.</param>
/// <returns>The inverted JMatrix.</returns>
public static Fixed64Matrix Inverse(Fixed64Matrix matrix)
{
Inverse(ref matrix, out Fixed64Matrix result);
return(result);
}