compdata-0.2: Compositional Data Types

Portabilitynon-portable (GHC Extensions)
Stabilityexperimental
MaintainerPatrick Bahr <paba@diku.dk>

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) 
(HEqF f, HEqF g) => HEqF (:+: f g)

EqF is propagated through sums.

(HShowF f, HShowF g) => HShowF (:+: f g) 
(HasVars f v, HasVars g v) => HasVars (:+: f g) v 
DistProd s p s' => DistProd (:+: f s) p (:+: (:&: f p) s') 
RemoveP s s' => RemoveP (:+: (:&: f p) s) (:+: f s') 

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 productHTermHom.

Constructors

(f g e) :&: a 

Instances

DistProd f p (:&: f p) 
HFunctor f => HFunctor (:&: f a) 
HFoldable f => HFoldable (:&: f a) 
HTraversable f => HTraversable (:&: f a) 
(HShowF f, Show p) => HShowF (:&: f p) 
RemoveP (:&: f p) f 
DistProd s p s' => DistProd (:+: f s) p (:+: (:&: f p) s') 
RemoveP s s' => RemoveP (:+: (:&: f p) s) (:+: f s') 

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

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

Methods

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

This function injects a product a value over a signature.

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

Instances

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

class RemoveP s s' | s -> s' whereSource

Methods

removeP :: s a :-> s' aSource

Instances

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