Graphics.Rendering.Cairo.Matrix

The Matrix type actually represents as 3x3 matrix but with some elements are constant and so are not included. Specifically if we assume that our coordinates are row vectors then correspondence is:

    Matrix xx yx xy yy x0 y0
 ==
    / xx yx 0 \
    | xy yy 0 |
    \ x0 y0 1 /

and the matrix operates on (x,y) coordinates:

 (x y 1) / xx yx 0 \  = (x' y' 1)
         | xy yy 0 |  where x' = xx * x + xy * y + x0
         \ x0 y0 1 /        y' = yx * x + yy * y + y0

Constructors

Matrix !Double !Double !Double !Double !Double !Double

Instances

type MatrixPtr = Ptr Matrix

identity :: Matrix

translate :: Double -> Double -> Matrix -> Matrix

scale :: Double -> Double -> Matrix -> Matrix

rotate :: Double -> Matrix -> Matrix

transformDistance :: Matrix -> (Double, Double) -> (Double, Double)

transformPoint :: Matrix -> (Double, Double) -> (Double, Double)

scalarMultiply :: Double -> Matrix -> Matrix

adjoint :: Matrix -> Matrix

invert :: Matrix -> Matrix

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