//! [0]
x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if is not affine:
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
//! [0]


//! [1]
x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if is not affine:
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
//! [1]


//! [2]
x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if is not affine:
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
//! [2]


//! [3]
x' = m11*x + m21*y + dx
y' = m22*y + m12*x + dy
if is not affine:
    w' = m13*x + m23*y + m33
    x' /= w'
    y' /= w'
//! [3]