Copyright | (c) 2011 Patrick Bahr, Tom Hvitved |
---|---|
License | BSD3 |
Maintainer | Tom Hvitved <hvitved@diku.dk> |
Stability | experimental |
Portability | non-portable (GHC Extensions) |
Safe Haskell | None |
Language | Haskell98 |
This module provides operators on higher-order difunctors.
- data (f :+: g) a b i
- caseHD :: (f a b i -> c) -> (g a b i -> c) -> (f :+: g) a b i -> c
- class sub :<: sup where
- data (f :*: g) a b i = (f a b i) :*: (g a b i)
- ffst :: (f :*: g) a b :-> f a b
- fsnd :: (f :*: g) a b :-> g a b
- data (f :&: p) a b i = (f a b i) :&: p
- class DistAnn s p s' | s' -> s, s' -> p where
- class RemA s s' | s -> s' where
Documentation
data (f :+: g) a b i infixr 6 Source
Formal sum of signatures (difunctors).
(:<:) f g => f :<: ((:+:) h g) | |
f :<: ((:+:) f g) | |
(HDifunctor f, HDifunctor g) => HDifunctor ((:+:) f g) | |
(HDitraversable f, HDitraversable g) => HDitraversable ((:+:) f g) | |
(ShowHD f, ShowHD g) => ShowHD ((:+:) f g) | |
(EqHD f, EqHD g) => EqHD ((:+:) f g) |
|
(OrdHD f, OrdHD g) => OrdHD ((:+:) f g) |
|
(Desugar f h, Desugar g h) => Desugar ((:+:) f g) h | |
DistAnn s p s' => DistAnn ((:+:) f s) p ((:+:) ((:&:) f p) s') | |
RemA s s' => RemA ((:+:) ((:&:) f p) s) ((:+:) f s') | |
(Eq (f a b i), Eq (g a b i)) => Eq ((:+:) f g a b i) | |
(Ord (f a b i), Ord (g a b i)) => Ord ((:+:) f g a b i) | |
(Show (f a b i), Show (g a b i)) => Show ((:+:) f g a b i) |
caseHD :: (f a b i -> c) -> (g a b i -> c) -> (f :+: g) a b i -> c Source
Utility function to case on a higher-order difunctor sum, without exposing the internal representation of sums.
class sub :<: sup where Source
Signature containment relation for automatic injections. The left-hand must
be an atomic signature, where as the right-hand side must have a list-like
structure. Examples include f :<: f :+: g
and g :<: f :+: (g :+: h)
,
non-examples include f :+: g :<: f :+: (g :+: h)
and
f :<: (f :+: g) :+: h
.
data (f :*: g) a b i infixr 8 Source
Formal product of signatures (higher-order difunctors).
(f a b i) :*: (g a b i) infixr 8 |
data (f :&: p) a b i infixr 7 Source
This data type adds a constant product to a signature.
(f a b i) :&: p infixr 7 |