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//! [0] x' = m11*x + m21*y + dx y' = m22*y + m12*x + dy //! [0] //! [1] x' = m11*x + m21*y + dx y' = m22*y + m12*x + dy //! [1] //! [2] x' = m11*x + m21*y + dx y' = m22*y + m12*x + dy //! [2] //! [3] x' = m11*x + m21*y + dx y' = m22*y + m12*x + dy //! [3]