Copyright	(c) Paolo Martini 2005
License	BSD-style (see cairo/COPYRIGHT)
Maintainer	p.martini@neuralnoise.com
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell98

Graphics.Rendering.Cairo.Matrix

Description

Matrix math

Synopsis

data Matrix = Matrix !Double !Double !Double !Double !Double !Double
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

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

Instances details

Storable Matrix #
Instance details Defined in Graphics.Rendering.Cairo.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 () #
Num Matrix #
Instance details Defined in Graphics.Rendering.Cairo.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 #
Instance details Defined in Graphics.Rendering.Cairo.Matrix Methods showsPrec :: Int -> Matrix -> ShowS # show :: Matrix -> String # showList :: [Matrix] -> ShowS #
Eq Matrix #
Instance details Defined in Graphics.Rendering.Cairo.Matrix Methods (==) :: Matrix -> Matrix -> Bool # (/=) :: Matrix -> Matrix -> Bool #

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 #