compdata-0.7.0.1: Compositional Data Types

Portability non-portable (GHC Extensions) experimental Patrick Bahr Safe-Inferred

Data.Comp.Multi.Ops

Description

This module provides operators on higher-order functors. All definitions are generalised versions of those in Data.Comp.Ops.

Synopsis

# Documentation

data (f :+: g) h e Source

Data type defining coproducts.

Constructors

 Inl (f h e) Inr (g h e)

Instances

 :<: f g => f :<: (:+: h g) f :<: (:+: f g) (HFunctor f, HFunctor g) => HFunctor (:+: f g) (HFoldable f, HFoldable g) => HFoldable (:+: f g) (HTraversable f, HTraversable g) => HTraversable (:+: f g) (ShowHF f, ShowHF g) => ShowHF (:+: f g) (EqHF f, EqHF g) => EqHF (:+: f g) `EqF` is propagated through sums. (OrdHF f, OrdHF g) => OrdHF (:+: f g) `OrdHF` is propagated through sums. (Desugar f h, Desugar g h) => Desugar (:+: f g) h (HasVars f v0, HasVars g v0) => HasVars (:+: f g) v0 DistAnn s p s' => DistAnn (:+: f s) p (:+: (:&: f p) s') RemA s s' => RemA (:+: (:&: f p) s) (:+: f s')

caseH :: (f a b -> c) -> (g a b -> c) -> (f :+: g) a b -> cSource

Utility function to case on a higher-order functor sum, without exposing the internal representation of sums.

class sub :<: sup whereSource

The subsumption relation.

Methods

inj :: sub a :-> sup aSource

proj :: NatM Maybe (sup a) (sub a)Source

Instances

 f :<: f :<: f g => f :<: (:+: h g) f :<: (:+: f g)

data (f :*: g) a Source

Constructors

 (f a) :*: (g a)

fst :: (f :*: g) a -> f aSource

snd :: (f :*: g) a -> g aSource

data (f :&: a) g e Source

This data type adds a constant product to a signature. Alternatively, this could have also been defined as

`data (f :&: a) (g ::  * -> *) e = f g e :&: a e`

This is too general, however, for example for `productHHom`.

Constructors

 (f g e) :&: a

Instances

 DistAnn f p (:&: f p) HFunctor f => HFunctor (:&: f a) HFoldable f => HFoldable (:&: f a) HTraversable f => HTraversable (:&: f a) (ShowHF f, Show p) => ShowHF (:&: f p) RemA (:&: f p) f DistAnn s p s' => DistAnn (:+: f s) p (:+: (:&: f p) s') RemA s s' => RemA (:+: (:&: f p) s) (:+: f s')

class DistAnn s p s' | s' -> s, s' -> p whereSource

This class defines how to distribute an annotation over a sum of signatures.

Methods

injectA :: p -> s a :-> s' aSource

This function injects an annotation over a signature.

projectA :: s' a :-> (s a :&: p)Source

Instances

 DistAnn f p (:&: f p) DistAnn s p s' => DistAnn (:+: f s) p (:+: (:&: f p) s')

class RemA s s' | s -> s' whereSource

Methods

remA :: s a :-> s' aSource

Instances

 RemA (:&: f p) f RemA s s' => RemA (:+: (:&: f p) s) (:+: f s')