Data.Geometry.Ellipse

Documentation

newtype Ellipse r

A type representing planar ellipses

Constructors

Ellipse (Transformation 2 r)

Instances

Functor Ellipse

Defined in Data.Geometry.Ellipse

Methods

fmap :: (a -> b) -> Ellipse a -> Ellipse b

(<$) :: a -> Ellipse b -> Ellipse a

Foldable Ellipse

Defined in Data.Geometry.Ellipse

Methods

fold :: Monoid m => Ellipse m -> m

foldMap :: Monoid m => (a -> m) -> Ellipse a -> m

foldMap' :: Monoid m => (a -> m) -> Ellipse a -> m

foldr :: (a -> b -> b) -> b -> Ellipse a -> b

foldr' :: (a -> b -> b) -> b -> Ellipse a -> b

foldl :: (b -> a -> b) -> b -> Ellipse a -> b

foldl' :: (b -> a -> b) -> b -> Ellipse a -> b

foldr1 :: (a -> a -> a) -> Ellipse a -> a

foldl1 :: (a -> a -> a) -> Ellipse a -> a

toList :: Ellipse a -> [a]

null :: Ellipse a -> Bool

length :: Ellipse a -> Int

elem :: Eq a => a -> Ellipse a -> Bool

maximum :: Ord a => Ellipse a -> a

minimum :: Ord a => Ellipse a -> a

sum :: Num a => Ellipse a -> a

product :: Num a => Ellipse a -> a

Traversable Ellipse

Defined in Data.Geometry.Ellipse

Methods

traverse :: Applicative f => (a -> f b) -> Ellipse a -> f (Ellipse b)

sequenceA :: Applicative f => Ellipse (f a) -> f (Ellipse a)

mapM :: Monad m => (a -> m b) -> Ellipse a -> m (Ellipse b)

sequence :: Monad m => Ellipse (m a) -> m (Ellipse a)

Eq r => Eq (Ellipse r)

Defined in Data.Geometry.Ellipse

Methods

(==) :: Ellipse r -> Ellipse r -> Bool

(/=) :: Ellipse r -> Ellipse r -> Bool

Show r => Show (Ellipse r)

Defined in Data.Geometry.Ellipse

Methods

showsPrec :: Int -> Ellipse r -> ShowS

show :: Ellipse r -> String

showList :: [Ellipse r] -> ShowS

Num r => IsTransformable (Ellipse r)

Defined in Data.Geometry.Ellipse

Methods

transformBy :: Transformation (Dimension (Ellipse r)) (NumType (Ellipse r)) -> Ellipse r -> Ellipse r

type NumType (Ellipse r)

Defined in Data.Geometry.Ellipse

type NumType (Ellipse r) = r

type Dimension (Ellipse r)

Defined in Data.Geometry.Ellipse

type Dimension (Ellipse r) = 2

affineTransformation :: forall r r. Iso (Ellipse r) (Ellipse r) (Transformation 2 r) (Transformation 2 r)

ellipseMatrix :: Iso (Ellipse r) (Ellipse s) (Matrix 3 3 r) (Matrix 3 3 s)

unitEllipse :: Num r => Ellipse r

Ellipse representing the unit circle

circleToEllipse :: Floating r => Circle p r -> Ellipse r

ellipseToCircle :: (Num r, Eq r) => Ellipse r -> Maybe (Circle () r)

_EllipseCircle :: (Floating r, Eq r) => Prism' (Ellipse r) (Circle () r)

Converting between ellipses and circles