module Pandora.Paradigm.Primary.Functor.Edges where

import Pandora.Pattern.Category (($))
import Pandora.Pattern.Functor.Covariant (Covariant ((<$>)))
import Pandora.Pattern.Functor.Pointable (Pointable (point))
import Pandora.Pattern.Functor.Traversable (Traversable ((->>)))


data Edges a = Empty | Leap a | Connect a | Overlay a

instance Covariant Edges where
	a -> b
_ <$> :: (a -> b) -> Edges a -> Edges b
<$> Edges a
Empty = Edges b
forall a. Edges a
Empty
	a -> b
f <$> Connect a
x = b -> Edges b
forall a. a -> Edges a
Connect (b -> Edges b) -> b -> Edges b
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a -> b
f a
x
	a -> b
f <$> Overlay a
x = b -> Edges b
forall a. a -> Edges a
Overlay (b -> Edges b) -> b -> Edges b
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a -> b
f a
x
	a -> b
f <$> Leap a
x = b -> Edges b
forall a. a -> Edges a
Leap (b -> Edges b) -> b -> Edges b
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a -> b
f a
x

instance Traversable Edges where
	Edges a
Empty ->> :: Edges a -> (a -> u b) -> (u :. Edges) := b
->> a -> u b
_ = Edges b |-> u
forall (t :: * -> *) a. Pointable t => a |-> t
point Edges b
forall a. Edges a
Empty
	Connect a
x ->> a -> u b
f = b -> Edges b
forall a. a -> Edges a
Connect (b -> Edges b) -> u b -> (u :. Edges) := b
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> a -> u b
f a
x
	Overlay a
x ->> a -> u b
f = b -> Edges b
forall a. a -> Edges a
Overlay (b -> Edges b) -> u b -> (u :. Edges) := b
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> a -> u b
f a
x
	Leap a
x ->> a -> u b
f = b -> Edges b
forall a. a -> Edges a
Leap (b -> Edges b) -> u b -> (u :. Edges) := b
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> a -> u b
f a
x

edges :: r -> (a -> r) -> (a -> r) -> (a -> r) -> Edges a -> r
edges :: r -> (a -> r) -> (a -> r) -> (a -> r) -> Edges a -> r
edges r
r a -> r
_ a -> r
_ a -> r
_ Edges a
Empty = r
r
edges r
_ a -> r
f a -> r
_ a -> r
_ (Connect a
x) = a -> r
f a
x
edges r
_ a -> r
_ a -> r
g a -> r
_ (Overlay a
y) = a -> r
g a
y
edges r
_ a -> r
_ a -> r
_ a -> r
h (Leap a
z) = a -> r
h a
z