/// <summary>
/// Creates a transformation matrix that uses three basis vectors to construct the matrix that transform points expressed in the three basis vectors to points in
/// the coordinate system.
/// </summary>
/// <param name="xBasis">Basis vector for the x-direction.</param>
/// <param name="yBasis">Basis vector for the y-direction.</param>
/// <returns>A transformation matrix that uses the three basis vectors, and a location</returns>
public static Matrix2x2 NewFromBasisVectors(VectorD2D xBasis, VectorD2D yBasis)
{
return(new Matrix2x2(
xBasis.X, xBasis.Y,
yBasis.X, yBasis.Y
));
}
/// <summary>
/// Transforms the specified vector <paramref name="v"/>.
/// The transformation is carried out as a prepend transformation, i.e. result = v * matrix (v considered as horizontal vector).
/// </summary>
/// <param name="v">The vector to transform.</param>
/// <returns>The transformed vector.</returns>
public VectorD2D Transform(VectorD2D v)
{
double x = v.X;
double y = v.Y;
return(new VectorD2D(
x * M11 + y * M21,
x * M12 + y * M22
));
}