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

Methods

(==) :: Matrix -> Matrix -> Bool

(/=) :: Matrix -> Matrix -> Bool

Num Matrix

Methods

(+) :: Matrix -> Matrix -> Matrix

(-) :: Matrix -> Matrix -> Matrix

(*) :: Matrix -> Matrix -> Matrix

negate :: Matrix -> Matrix

abs :: Matrix -> Matrix

signum :: Matrix -> Matrix

fromInteger :: Integer -> Matrix

Show Matrix

Methods

showsPrec :: Int -> Matrix -> ShowS

show :: Matrix -> String

showList :: [Matrix] -> ShowS

Storable Matrix

Methods

sizeOf :: Matrix -> Int

alignment :: Matrix -> Int

peekElemOff :: Ptr Matrix -> Int -> IO Matrix

pokeElemOff :: Ptr Matrix -> Int -> Matrix -> IO ()

peekByteOff :: Ptr b -> Int -> IO Matrix

pokeByteOff :: Ptr b -> Int -> Matrix -> IO ()

peek :: Ptr Matrix -> IO Matrix

poke :: Ptr Matrix -> Matrix -> IO ()

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