Copyright	(C) 2014-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	portable
Safe Haskell	Safe
Language	Haskell2010

Data.Profunctor.Monad

Description

Synopsis

Documentation

class ProfunctorFunctor t where Source #

Minimal complete definition

promap

Methods

promap :: Profunctor p => (p :-> q) -> t p :-> t q Source #

Laws:

promap f . promap g ≡ promap (f . g)
promap id ≡ id

Instances

ProfunctorFunctor Copastro Source #
Methods promap :: Profunctor p => (p :-> q) -> Copastro p :-> Copastro q Source #
ProfunctorFunctor Cotambara Source #
Methods promap :: Profunctor p => (p :-> q) -> Cotambara p :-> Cotambara q Source #
ProfunctorFunctor Pastro Source #
Methods promap :: Profunctor p => (p :-> q) -> Pastro p :-> Pastro q Source #
ProfunctorFunctor Tambara Source #
Methods promap :: Profunctor p => (p :-> q) -> Tambara p :-> Tambara q Source #
ProfunctorFunctor CopastroSum Source #
Methods promap :: Profunctor p => (p :-> q) -> CopastroSum p :-> CopastroSum q Source #
ProfunctorFunctor CotambaraSum Source #
Methods promap :: Profunctor p => (p :-> q) -> CotambaraSum p :-> CotambaraSum q Source #
ProfunctorFunctor PastroSum Source #
Methods promap :: Profunctor p => (p :-> q) -> PastroSum p :-> PastroSum q Source #
ProfunctorFunctor TambaraSum Source #
Methods promap :: Profunctor p => (p :-> q) -> TambaraSum p :-> TambaraSum q Source #
ProfunctorFunctor Environment Source #
Methods promap :: Profunctor p => (p :-> q) -> Environment p :-> Environment q Source #
ProfunctorFunctor Closure Source #
Methods promap :: Profunctor p => (p :-> q) -> Closure p :-> Closure q Source #
ProfunctorFunctor FreeTraversing Source #
Methods promap :: Profunctor p => (p :-> q) -> FreeTraversing p :-> FreeTraversing q Source #
ProfunctorFunctor CofreeTraversing Source #
Methods promap :: Profunctor p => (p :-> q) -> CofreeTraversing p :-> CofreeTraversing q Source #
ProfunctorFunctor FreeMapping Source #
Methods promap :: Profunctor p => (p :-> q) -> FreeMapping p :-> FreeMapping q Source #
ProfunctorFunctor CofreeMapping Source #
Methods promap :: Profunctor p => (p :-> q) -> CofreeMapping p :-> CofreeMapping q Source #
ProfunctorFunctor Coyoneda Source #
Methods promap :: Profunctor p => (p :-> q) -> Coyoneda p :-> Coyoneda q Source #
ProfunctorFunctor Yoneda Source #
Methods promap :: Profunctor p => (p :-> q) -> Yoneda p :-> Yoneda q Source #
Functor f => ProfunctorFunctor (Cayley f) Source #
Methods promap :: Profunctor p => (p :-> q) -> Cayley f p :-> Cayley f q Source #
ProfunctorFunctor (Rift p) Source #
Methods promap :: Profunctor p => (p :-> q) -> Rift p p :-> Rift p q Source #
ProfunctorFunctor (Procompose p) Source #
Methods promap :: Profunctor p => (p :-> q) -> Procompose p p :-> Procompose p q Source #
ProfunctorFunctor (Ran p) Source #
Methods promap :: Profunctor p => (p :-> q) -> Ran p p :-> Ran p q Source #
ProfunctorFunctor (Product * * p) Source #
Methods promap :: Profunctor p => (p :-> q) -> Product * * p p :-> Product * * p q Source #
ProfunctorFunctor (Sum * * p) Source #
Methods promap :: Profunctor p => (p :-> q) -> Sum * * p p :-> Sum * * p q Source #
Functor f => ProfunctorFunctor (Tannen * * * f) Source #
Methods promap :: Profunctor p => (p :-> q) -> Tannen * * * f p :-> Tannen * * * f q Source #

class ProfunctorFunctor t => ProfunctorMonad t where Source #

Laws:

promap f . proreturn ≡ proreturn . f
projoin . proreturn ≡ id
projoin . promap proreturn ≡ id
projoin . projoin ≡ projoin . promap projoin

Minimal complete definition

proreturn, projoin

Methods

proreturn :: Profunctor p => p :-> t p Source #

projoin :: Profunctor p => t (t p) :-> t p Source #

Instances

ProfunctorMonad Copastro Source #
Methods proreturn :: Profunctor p => p :-> Copastro p Source # projoin :: Profunctor p => Copastro (Copastro p) :-> Copastro p Source #
ProfunctorMonad Pastro Source #
Methods proreturn :: Profunctor p => p :-> Pastro p Source # projoin :: Profunctor p => Pastro (Pastro p) :-> Pastro p Source #
ProfunctorMonad CopastroSum Source #
Methods proreturn :: Profunctor p => p :-> CopastroSum p Source # projoin :: Profunctor p => CopastroSum (CopastroSum p) :-> CopastroSum p Source #
ProfunctorMonad PastroSum Source #
Methods proreturn :: Profunctor p => p :-> PastroSum p Source # projoin :: Profunctor p => PastroSum (PastroSum p) :-> PastroSum p Source #
ProfunctorMonad Environment Source #
Methods proreturn :: Profunctor p => p :-> Environment p Source # projoin :: Profunctor p => Environment (Environment p) :-> Environment p Source #
ProfunctorMonad FreeTraversing Source #
Methods proreturn :: Profunctor p => p :-> FreeTraversing p Source # projoin :: Profunctor p => FreeTraversing (FreeTraversing p) :-> FreeTraversing p Source #
ProfunctorMonad FreeMapping Source #
Methods proreturn :: Profunctor p => p :-> FreeMapping p Source # projoin :: Profunctor p => FreeMapping (FreeMapping p) :-> FreeMapping p Source #
ProfunctorMonad Coyoneda Source #
Methods proreturn :: Profunctor p => p :-> Coyoneda p Source # projoin :: Profunctor p => Coyoneda (Coyoneda p) :-> Coyoneda p Source #
ProfunctorMonad Yoneda Source #
Methods proreturn :: Profunctor p => p :-> Yoneda p Source # projoin :: Profunctor p => Yoneda (Yoneda p) :-> Yoneda p Source #
(Functor f, Monad f) => ProfunctorMonad (Cayley f) Source #	Cayley transforms Monads in `Hask` into monads on `Prof`
Methods proreturn :: Profunctor p => p :-> Cayley f p Source # projoin :: Profunctor p => Cayley f (Cayley f p) :-> Cayley f p Source #
Category * p => ProfunctorMonad (Procompose p) Source #
Methods proreturn :: Profunctor p => p :-> Procompose p p Source # projoin :: Profunctor p => Procompose p (Procompose p p) :-> Procompose p p Source #
ProfunctorMonad (Sum * * p) Source #
Methods proreturn :: Profunctor p => p :-> Sum * * p p Source # projoin :: Profunctor p => Sum * * p (Sum * * p p) :-> Sum * * p p Source #
Monad f => ProfunctorMonad (Tannen * * * f) Source #
Methods proreturn :: Profunctor p => p :-> Tannen * * * f p Source # projoin :: Profunctor p => Tannen * * * f (Tannen * * * f p) :-> Tannen * * * f p Source #

class ProfunctorFunctor t => ProfunctorComonad t where Source #

Laws:

proextract . promap f ≡ f . proextract
proextract . produplicate ≡ id
promap proextract . produplicate ≡ id
produplicate . produplicate ≡ promap produplicate . produplicate

Minimal complete definition

proextract, produplicate

Methods

proextract :: Profunctor p => t p :-> p Source #

produplicate :: Profunctor p => t p :-> t (t p) Source #

Instances

ProfunctorComonad Cotambara Source #
Methods proextract :: Profunctor p => Cotambara p :-> p Source # produplicate :: Profunctor p => Cotambara p :-> Cotambara (Cotambara p) Source #
ProfunctorComonad Tambara Source #
Methods proextract :: Profunctor p => Tambara p :-> p Source # produplicate :: Profunctor p => Tambara p :-> Tambara (Tambara p) Source #
ProfunctorComonad CotambaraSum Source #
Methods proextract :: Profunctor p => CotambaraSum p :-> p Source # produplicate :: Profunctor p => CotambaraSum p :-> CotambaraSum (CotambaraSum p) Source #
ProfunctorComonad TambaraSum Source #
Methods proextract :: Profunctor p => TambaraSum p :-> p Source # produplicate :: Profunctor p => TambaraSum p :-> TambaraSum (TambaraSum p) Source #
ProfunctorComonad Closure Source #
Methods proextract :: Profunctor p => Closure p :-> p Source # produplicate :: Profunctor p => Closure p :-> Closure (Closure p) Source #
ProfunctorComonad CofreeTraversing Source #
Methods proextract :: Profunctor p => CofreeTraversing p :-> p Source # produplicate :: Profunctor p => CofreeTraversing p :-> CofreeTraversing (CofreeTraversing p) Source #
ProfunctorComonad CofreeMapping Source #
Methods proextract :: Profunctor p => CofreeMapping p :-> p Source # produplicate :: Profunctor p => CofreeMapping p :-> CofreeMapping (CofreeMapping p) Source #
ProfunctorComonad Coyoneda Source #
Methods proextract :: Profunctor p => Coyoneda p :-> p Source # produplicate :: Profunctor p => Coyoneda p :-> Coyoneda (Coyoneda p) Source #
ProfunctorComonad Yoneda Source #
Methods proextract :: Profunctor p => Yoneda p :-> p Source # produplicate :: Profunctor p => Yoneda p :-> Yoneda (Yoneda p) Source #
Comonad f => ProfunctorComonad (Cayley f) Source #	Cayley transforms Comonads in `Hask` into comonads on `Prof`
Methods proextract :: Profunctor p => Cayley f p :-> p Source # produplicate :: Profunctor p => Cayley f p :-> Cayley f (Cayley f p) Source #
Category * p => ProfunctorComonad (Rift p) Source #
Methods proextract :: Profunctor p => Rift p p :-> p Source # produplicate :: Profunctor p => Rift p p :-> Rift p (Rift p p) Source #
Category * p => ProfunctorComonad (Ran p) Source #
Methods proextract :: Profunctor p => Ran p p :-> p Source # produplicate :: Profunctor p => Ran p p :-> Ran p (Ran p p) Source #
ProfunctorComonad (Product * * p) Source #
Methods proextract :: Profunctor p => Product * * p p :-> p Source # produplicate :: Profunctor p => Product * * p p :-> Product * * p (Product * * p p) Source #
Comonad f => ProfunctorComonad (Tannen * * * f) Source #
Methods proextract :: Profunctor p => Tannen * * * f p :-> p Source # produplicate :: Profunctor p => Tannen * * * f p :-> Tannen * * * f (Tannen * * * f p) Source #