module Pandora.Paradigm.Primary.Functor.These where import Pandora.Pattern.Category (($), (#)) import Pandora.Pattern.Functor.Covariant (Covariant ((<$>))) import Pandora.Pattern.Functor.Pointable (Pointable (point)) import Pandora.Pattern.Functor.Traversable (Traversable ((->>))) import Pandora.Pattern.Object.Semigroup (Semigroup ((+))) import Pandora.Paradigm.Primary.Functor.Function () data These e a = This a | That e | These e a instance Covariant (These e) where a -> b f <$> :: (a -> b) -> These e a -> These e b <$> This a x = b -> These e b forall e a. a -> These e a This (b -> These e b) -> b -> These e b forall (m :: * -> * -> *). Category m => m ~~> m $ a -> b f a x a -> b _ <$> That e y = e -> These e b forall e a. e -> These e a That e y a -> b f <$> These e y a x = e -> b -> These e b forall e a. e -> a -> These e a These e y (b -> These e b) -> b -> These e b forall (m :: * -> * -> *). Category m => m ~~> m $ a -> b f a x instance Pointable (These e) where point :: a :=> These e point = a :=> These e forall e a. a -> These e a This instance Traversable (These e) where This a x ->> :: These e a -> (a -> u b) -> (u :. These e) := b ->> a -> u b f = b -> These e b forall e a. a -> These e a This (b -> These e b) -> u b -> (u :. These e) := b forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b <$> a -> u b f a x That e y ->> a -> u b _ = These e b :=> u forall (t :: * -> *) a. Pointable t => a :=> t point (These e b :=> u) -> These e b :=> u forall (m :: * -> * -> *). Category m => m ~~> m $ e -> These e b forall e a. e -> These e a That e y These e y a x ->> a -> u b f = e -> b -> These e b forall e a. e -> a -> These e a These e y (b -> These e b) -> u b -> (u :. These e) := b forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b <$> a -> u b f a x instance (Semigroup e, Semigroup a) => Semigroup (These e a) where This a x + :: These e a -> These e a -> These e a + This a x' = a -> These e a forall e a. a -> These e a This (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x a -> a -> a forall a. Semigroup a => a -> a -> a + a x' This a x + That e y = e -> a -> These e a forall e a. e -> a -> These e a These e y a x This a x + These e y a x' = e -> a -> These e a forall e a. e -> a -> These e a These e y (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x a -> a -> a forall a. Semigroup a => a -> a -> a + a x' That e y + This a x' = e -> a -> These e a forall e a. e -> a -> These e a These e y a x' That e y + That e y' = e -> These e a forall e a. e -> These e a That (e -> These e a) -> e -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # e y e -> e -> e forall a. Semigroup a => a -> a -> a + e y' That e y + These e y' a x = e -> a -> These e a forall e a. e -> a -> These e a These (e -> a -> These e a) -> e -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # e y e -> e -> e forall a. Semigroup a => a -> a -> a + e y' (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x These e y a x + This a x' = e -> a -> These e a forall e a. e -> a -> These e a These e y (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x a -> a -> a forall a. Semigroup a => a -> a -> a + a x' These e y a x + That e y' = e -> a -> These e a forall e a. e -> a -> These e a These (e -> a -> These e a) -> e -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # e y e -> e -> e forall a. Semigroup a => a -> a -> a + e y' (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x These e y a x + These e y' a x' = e -> a -> These e a forall e a. e -> a -> These e a These (e -> a -> These e a) -> e -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # e y e -> e -> e forall a. Semigroup a => a -> a -> a + e y' (a -> These e a) -> a -> These e a forall (m :: * -> * -> *). Category m => m ~~> m # a x a -> a -> a forall a. Semigroup a => a -> a -> a + a x' these :: (a -> r) -> (e -> r) -> (e -> a -> r) -> These e a -> r these :: (a -> r) -> (e -> r) -> (e -> a -> r) -> These e a -> r these a -> r f e -> r _ e -> a -> r _ (This a x) = a -> r f a x these a -> r _ e -> r g e -> a -> r _ (That e y) = e -> r g e y these a -> r _ e -> r _ e -> a -> r h (These e y a x) = e -> a -> r h e y a x