compdata-0.7.0.2: Compositional Data Types

Copyright (c) 2011 Patrick Bahr BSD3 Patrick Bahr experimental non-portable (GHC Extensions) Safe-Inferred Haskell98

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 infixr 5 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) v 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 -> c Source

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

class sub :<: sup where Source

The subsumption relation.

Methods

inj :: sub a :-> sup a Source

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

Instances

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

data (f :*: g) a infixr 8 Source

Constructors

 (f a) :*: (g a) infixr 8

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

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

data (f :&: a) g e infixr 7 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 infixr 7

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 where Source

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

Methods

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

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' where Source

Methods

remA :: s a :-> s' a Source

Instances

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