Graphics.Rasterific.Transformations

This module provide some helpers in order to perform basic geometric transformation on the drawable primitives.

You can combine the transformation is mappend or the `(<>)` operator from Data.Monoid .

Documentation

data Transformation

Represent a 3*3 matrix for homogenous coordinates.

| A C E |
| B D F |
| 0 0 1 |

Constructors

Transformation

Fields

• _transformA :: !Float
• _transformC :: !Float
• _transformE :: !Float

  X translation

• _transformB :: !Float
• _transformD :: !Float
• _transformF :: !Float

  Y translation

Instances

Eq Transformation

Defined in Graphics.Rasterific.Transformations

Methods

(==) :: Transformation -> Transformation -> Bool

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

Show Transformation

Defined in Graphics.Rasterific.Transformations

Methods

showsPrec :: Int -> Transformation -> ShowS

show :: Transformation -> String

showList :: [Transformation] -> ShowS

Semigroup Transformation

Defined in Graphics.Rasterific.Transformations

Methods

(<>) :: Transformation -> Transformation -> Transformation

sconcat :: NonEmpty Transformation -> Transformation

stimes :: Integral b => b -> Transformation -> Transformation

Monoid Transformation

Defined in Graphics.Rasterific.Transformations

Methods

mempty :: Transformation

mappend :: Transformation -> Transformation -> Transformation

mconcat :: [Transformation] -> Transformation

applyTransformation :: Transformation -> Point -> Point

Effectively transform a point given a transformation.

applyVectorTransformation :: Transformation -> Vector -> Vector

Effectively transform a vector given a transformation. The translation part won't be applied.

translate :: Vector -> Transformation

Perform a translation of the given primitives.

fill . transform (applyTransformation $ translate (V2 100 100))
     $ rectangle (V2 40 40) 40 40

scale :: Float -> Float -> Transformation

Perform a scaling of the given primitives.

fill . transform (applyTransformation $ scale 2 2)
     $ rectangle (V2 40 40) 40 40

rotate

Arguments

:: Float

Rotation angle in radian.

-> Transformation

Create a transformation representing a rotation on the plane.

fill . transform (applyTransformation $ rotate 0.2)
     $ rectangle (V2 40 40) 120 120

rotateCenter

Arguments

:: Float

Rotation angle in radian

-> Point

Rotation center

-> Transformation

Create a transformation representing a rotation on the plane. The rotation center is given in parameter

fill . transform (applyTransformation $ rotateCenter 0.2 (V2 200 200))
     $ rectangle (V2 40 40) 120 120

skewX :: Float -> Transformation

Skew transformation along the X axis.

fill . transform (applyTransformation $ skewX 0.3)
     $ rectangle (V2 50 50) 80 80

skewY :: Float -> Transformation

Skew transformation along the Y axis.

fill . transform (applyTransformation $ skewY 0.3)
     $ rectangle (V2 50 50) 80 80

toNewXBase :: Vector -> Transformation

Given a new X-acis vector, create a rotation matrix to get into this new base, assuming an Y basis orthonormal to the X one.

inverseTransformation :: Transformation -> Maybe Transformation

Inverse a transformation (if possible)