/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the result.</returns>
public static Matrix2D operator*(Matrix2D a, Matrix2D b)
{
return(Matrix2D.Multiply(a, b));
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2"/> instance.</param>
/// <returns>A new <see cref="Vector2"/> instance containing the result.</returns>
public static Vector2 operator*(Matrix2D matrix, Vector2 vector)
{
return(Matrix2D.Transform(matrix, vector));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator-(Matrix2D a, Matrix2D b)
{
return(Matrix2D.Subtract(a, b));
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator-(Matrix2D a, double s)
{
return(Matrix2D.Subtract(a, s));
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator+(double s, Matrix2D a)
{
return(Matrix2D.Add(a, s));
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator+(Matrix2D a, Matrix2D b)
{
return(Matrix2D.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="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2"/> instance.</param>
/// <param name="result">A <see cref="Vector2"/> instance to hold the result.</param>
public static void Transform(Matrix2D matrix, Vector2 vector, ref Vector2 result)
{
result.X = (matrix.M11 * vector.X) + (matrix.M12 * vector.Y);
result.Y = (matrix.M21 * vector.X) + (matrix.M22 * vector.Y);
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2"/> instance.</param>
/// <returns>A new <see cref="Vector2"/> instance containing the result.</returns>
public static Vector2 Transform(Matrix2D matrix, Vector2 vector)
{
return(new Vector2(
(matrix.M11 * vector.X) + (matrix.M12 * vector.Y),
(matrix.M21 * vector.X) + (matrix.M22 * vector.Y)));
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix2D"/> class using a given matrix.
/// </summary>
public Matrix2D(Matrix2D m)
{
_m11 = m.M11; _m12 = m.M12;
_m21 = m.M21; _m22 = m.M22;
}