Graphics.Rendering.Cairo.Matrix

Matrix math

Documentation

data Matrix

Representation of a 2-D affine transformation.

The Matrix type represents a 2x2 transformation matrix along with a translation vector. Matrix a1 a2 b1 b2 c1 c2 describes the transformation of a point with coordinates x,y that is defined by

  / x' \  =  / a1 b1 \  / x \  + / c1 \
  \ y' /     \ a2 b2 /  \ y /    \ c2 /

or

  x' =  a1 * x + b1 * y + c1
  y' =  a2 * x + b2 * y + c2

Constructors

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

Instances

Eq Matrix

Num Matrix

Show Matrix

Storable Matrix

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