Copyright	(c) Paolo Martini 2005
License	BSD-style (see cairo/COPYRIGHT)
Maintainer	p.martini@neuralnoise.com
Stability	experimental
Portability	portable
Safe Haskell	None
Language	Haskell98

Graphics.Rendering.Cairo.Matrix

Description

Matrix math

Synopsis

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

Eq Matrix
Num Matrix
Show Matrix
Storable Matrix

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