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

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

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

type MatrixPtr = Ptr Matrix Source #

identity :: Matrix Source #

translate :: Double -> Double -> Matrix -> Matrix Source #

scale :: Double -> Double -> Matrix -> Matrix Source #

rotate :: Double -> Matrix -> Matrix Source #

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

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

scalarMultiply :: Double -> Matrix -> Matrix Source #

adjoint :: Matrix -> Matrix Source #

invert :: Matrix -> Matrix Source #