/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3D"/> instance.</param>
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
/// <returns>A new <see cref="Vector3"/> instance containing the result.</returns>
public static Vector3 operator*(Matrix3D matrix, Vector3 vector)
{
return(Matrix3D.Transform(matrix, vector));
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3D"/> instance containing the difference.</returns>
public static Matrix3D operator-(Matrix3D a, double s)
{
return(Matrix3D.Subtract(a, s));
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix3D"/> instance.</param>
/// <param name="b">A <see cref="Matrix3D"/> instance.</param>
/// <returns>A new <see cref="Matrix3D"/> instance containing the result.</returns>
public static Matrix3D operator*(Matrix3D a, Matrix3D b)
{
return(Matrix3D.Multiply(a, b));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix3D"/> instance.</param>
/// <param name="b">A <see cref="Matrix3D"/> instance.</param>
/// <returns>A new <see cref="Matrix3D"/> instance containing the difference.</returns>
public static Matrix3D operator-(Matrix3D a, Matrix3D b)
{
return(Matrix3D.Subtract(a, b));
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix3D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix3D"/> instance containing the sum.</returns>
public static Matrix3D operator+(double s, Matrix3D a)
{
return(Matrix3D.Add(a, s));
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix3D"/> instance.</param>
/// <param name="b">A <see cref="Matrix3D"/> instance.</param>
/// <returns>A new <see cref="Matrix3D"/> instance containing the sum.</returns>
public static Matrix3D operator+(Matrix3D a, Matrix3D b)
{
return(Matrix3D.Add(a, b));
}
/// <summary>
/// Transforms a given vector by a matrix and put the result in a vector.
/// </summary>
/// <param name="matrix">A <see cref="Matrix3D"/> instance.</param>
/// <param name="vector">A <see cref="Vector3"/> instance.</param>
/// <param name="result">A <see cref="Vector3"/> instance to hold the result.</param>
public static void Transform(Matrix3D matrix, Vector3 vector, ref Vector3 result)
{
result.X = (matrix.M11 * vector.X) + (matrix.M12 * vector.Y) + (matrix.M13 * vector.Z);
result.Y = (matrix.M21 * vector.X) + (matrix.M22 * vector.Y) + (matrix.M23 * vector.Z);
result.Z = (matrix.M31 * vector.X) + (matrix.M32 * vector.Y) + (matrix.M33 * vector.Z);
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix3D"/> class using a given matrix.
/// </summary>
public Matrix3D(Matrix3D m)
{
_m11 = m.M11; _m12 = m.M12; _m13 = m.M13;
_m21 = m.M21; _m22 = m.M22; _m23 = m.M23;
_m31 = m.M31; _m32 = m.M32; _m33 = m.M33;
}
