profunctors 3.1.1 → 3.1.2
raw patch · 3 files changed
+222/−91 lines, 3 filesdep ~base
Dependency ranges changed: base
Files
- profunctors.cabal +4/−2
- src/Data/Profunctor.hs +14/−89
- src/Data/Profunctor/Unsafe.hs +204/−0
profunctors.cabal view
@@ -1,6 +1,6 @@ name: profunctors category: Control, Categories-version: 3.1.1+version: 3.1.2 license: BSD3 cabal-version: >= 1.6 license-file: LICENSE@@ -31,5 +31,7 @@ tagged >= 0.4.4 && < 0.5 hs-source-dirs: src- exposed-modules: Data.Profunctor+ exposed-modules:+ Data.Profunctor+ Data.Profunctor.Unsafe ghc-options: -Wall
src/Data/Profunctor.hs view
@@ -1,3 +1,7 @@+{-# LANGUAGE CPP #-}+#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702+{-# LANGUAGE Trustworthy #-}+#endif ----------------------------------------------------------------------------- -- | -- Module : Data.Profunctor@@ -19,7 +23,7 @@ module Data.Profunctor ( -- * Profunctors- Profunctor(..)+ Profunctor(dimap,lmap,rmap) -- ** Profunctorial Strength , Lenticular(..) , Prismatic(..)@@ -33,97 +37,11 @@ import Control.Arrow import Control.Category import Control.Comonad (Cokleisli(..))-import Control.Monad (liftM) import Data.Tagged import Data.Traversable+import Data.Profunctor.Unsafe import Prelude hiding (id,(.),sequence)-------------------------------------------------------------------------------- Profunctors--------------------------------------------------------------------------------- | Formally, 'Profunctor' represents a 'profunctor' from @Hask@ -> @Hask@------ Intuitively it is a bifunctor where the first argument is contravariant--- and the second argument is covariant.------ You can define a profunctor by either defining 'dimap' or by defining both--- 'lmap' and 'rmap'.------ If you supply 'dimap', you should ensure that:------ @'dimap' 'id' 'id' ≡ 'id'@------ If you supply 'lmap' and 'rmap', ensure:------ @--- 'lmap' 'id' ≡ 'id'--- 'rmap' 'id' ≡ 'id'--- @------ If you supply both, you should also ensure:------ @'dimap' f g ≡ 'lmap' f . 'rmap' g@------ These ensure by parametricity:------ @--- 'dimap' (f '.' g) (h '.' i) ≡ 'dimap' g h '.' 'dimap' f i--- 'lmap' (f '.' g) ≡ 'lmap' g '.' 'lmap' f--- 'rmap' (f '.' g) ≡ 'rmap' f '.' 'rmap' g--- @-class Profunctor p where- -- | Map over both arguments at the same time.- --- -- @'dimap' f g ≡ 'lmap' f '.' 'rmap' g@- dimap :: (a -> b) -> (c -> d) -> p b c -> p a d- dimap f g = lmap f . rmap g- {-# INLINE dimap #-}-- -- | Map the first argument contravariantly- --- -- @'lmap' f ≡ 'dimap' f 'id'@- lmap :: (a -> b) -> p b c -> p a c- lmap f = dimap f id- {-# INLINE lmap #-}-- -- | Map the second argument covariantly- --- -- @'rmap' ≡ 'dimap' 'id'@- rmap :: (b -> c) -> p a b -> p a c- rmap = dimap id- {-# INLINE rmap #-}--instance Profunctor (->) where- dimap ab cd bc = cd . bc . ab- {-# INLINE dimap #-}- lmap = flip (.)- {-# INLINE lmap #-}- rmap = (.)- {-# INLINE rmap #-}--instance Profunctor Tagged where- dimap _ f (Tagged s) = Tagged (f s)- {-# INLINE dimap #-}- lmap _ = retag- {-# INLINE lmap #-}- rmap = fmap- {-# INLINE rmap #-}--instance Monad m => Profunctor (Kleisli m) where- dimap f g (Kleisli h) = Kleisli (liftM g . h . f)- {-# INLINE dimap #-}- lmap k (Kleisli f) = Kleisli (f . k)- {-# INLINE lmap #-}- rmap k (Kleisli f) = Kleisli (liftM k . f)- {-# INLINE rmap #-}--instance Functor w => Profunctor (Cokleisli w) where- dimap f g (Cokleisli h) = Cokleisli (g . h . fmap f)- {-# INLINE dimap #-}- lmap k (Cokleisli f) = Cokleisli (f . fmap k)- {-# INLINE lmap #-}- rmap k (Cokleisli f) = Cokleisli (k . f)- {-# INLINE rmap #-}+import Unsafe.Coerce ------------------------------------------------------------------------------ -- UpStar@@ -139,6 +57,9 @@ {-# INLINE lmap #-} rmap k (UpStar f) = UpStar (fmap k . f) {-# INLINE rmap #-}+ -- We cannot safely overload ( #. ) because we didn't write the 'Functor'.+ p .# _ = unsafeCoerce p+ {-# INLINE ( .# ) #-} instance Functor f => Functor (UpStar f a) where fmap = rmap@@ -158,6 +79,9 @@ {-# INLINE lmap #-} rmap k (DownStar f) = DownStar (k . f) {-# INLINE rmap #-}+ ( #. ) _ = unsafeCoerce+ {-# INLINE ( #. ) #-}+ -- We cannot overload ( .# ) because we didn't write the 'Functor'. instance Functor (DownStar f a) where fmap k (DownStar f) = DownStar (k . f)@@ -215,6 +139,7 @@ {-# INLINE lmap #-} rmap = (^<<) {-# INLINE rmap #-}+ -- We cannot safely overload ( #. ) or ( .# ) because we didn't write the 'Arrow'. ------------------------------------------------------------------------------ -- Lenticular
+ src/Data/Profunctor/Unsafe.hs view
@@ -0,0 +1,204 @@+{-# LANGUAGE CPP #-}+#if defined(__GLASGOW_HASKELL__) && __GLASGOW_HASKELL__ >= 702+{-# LANGUAGE Unsafe #-}+#endif+-----------------------------------------------------------------------------+-- |+-- Module : Data.Profunctor.Unsafe+-- Copyright : (C) 2011-2012 Edward Kmett,+-- License : BSD-style (see the file LICENSE)+--+-- Maintainer : Edward Kmett <ekmett@gmail.com>+-- Stability : provisional+-- Portability : portable+--+-- For a good explanation of profunctors in Haskell see Dan Piponi's article:+--+-- <http://blog.sigfpe.com/2011/07/profunctors-in-haskell.html>+--+-- This module includes /unsafe/ composition operators that are useful in+-- practice when it comes to generating optimal core in GHC.+--+-- If you import this module you are taking upon yourself the obligation+-- that you will only call the operators with @#@ in their names with functions+-- that are operationally identity such as @newtype@ constructors or the field+-- accessor of a @newtype@.+--+-- If you are ever in doubt, use 'rmap' or 'lmap'.+----------------------------------------------------------------------------+module Data.Profunctor.Unsafe+ (+ -- * Profunctors+ Profunctor(..)+ ) where++import Control.Arrow+import Control.Category+import Control.Comonad (Cokleisli(..))+import Control.Monad (liftM)+import Data.Tagged+import Prelude hiding (id,(.),sequence)+import Unsafe.Coerce++{-# ANN module "Hlint: ignore Redundant lambda" #-}+{-# ANN module "Hlint: ignore Collapse lambdas" #-}++infixr 9 #.+infixl 8 .#++----------------------------------------------------------------------------+-- Profunctors+----------------------------------------------------------------------------++-- | Formally, the class 'Profunctor' represents a profunctor from @Hask@ -> @Hask@+--+-- Intuitively it is a bifunctor where the first argument is contravariant+-- and the second argument is covariant.+--+-- You can define a profunctor by either defining 'dimap' or by defining both+-- 'lmap' and 'rmap'.+--+-- If you supply 'dimap', you should ensure that:+--+-- @'dimap' 'id' 'id' ≡ 'id'@+--+-- If you supply 'lmap' and 'rmap', ensure:+--+-- @+-- 'lmap' 'id' ≡ 'id'+-- 'rmap' 'id' ≡ 'id'+-- @+--+-- If you supply both, you should also ensure:+--+-- @'dimap' f g ≡ 'lmap' f . 'rmap' g@+--+-- These ensure by parametricity:+--+-- @+-- 'dimap' (f '.' g) (h '.' i) ≡ 'dimap' g h '.' 'dimap' f i+-- 'lmap' (f '.' g) ≡ 'lmap' g '.' 'lmap' f+-- 'rmap' (f '.' g) ≡ 'rmap' f '.' 'rmap' g+-- @+class Profunctor p where+ -- | Map over both arguments at the same time.+ --+ -- @'dimap' f g ≡ 'lmap' f '.' 'rmap' g@+ dimap :: (a -> b) -> (c -> d) -> p b c -> p a d+ dimap f g = lmap f . rmap g+ {-# INLINE dimap #-}++ -- | Map the first argument contravariantly+ --+ -- @'lmap' f ≡ 'dimap' f 'id'@+ lmap :: (a -> b) -> p b c -> p a c+ lmap f = dimap f id+ {-# INLINE lmap #-}++ -- | Map the second argument covariantly+ --+ -- @'rmap' ≡ 'dimap' 'id'@+ rmap :: (b -> c) -> p a b -> p a c+ rmap = dimap id+ {-# INLINE rmap #-}++ -- | Strictly map the second argument argument+ -- covariantly with a function that is assumed+ -- operationally to be a cast, such as a newtype+ -- constructor.+ --+ -- /Note:/ This operation is explicitly /unsafe/+ -- since an implementation may choose to use+ -- 'unsafeCoerce' to implement this combinator+ -- and it has no way to validate that your function+ -- meets the requirements.+ --+ -- If you implement this combinator with+ -- 'unsafeCoerce', then you are taking upon yourself+ -- the obligation that you don't use GADT-like+ -- tricks to distinguish values.+ --+ -- If you import "Data.Profunctor.Unsafe" you are+ -- taking upon yourself the obligation that you+ -- will only call this with a first argument that is+ -- operationally identity.+ --+ -- The semantics of this function with respect to bottoms+ -- should match the default definition:+ --+ -- @(#.) ≡ \\f -> \\p -> p \`seq\` 'rmap' f p@+ ( #. ) :: (b -> c) -> p a b -> p a c+ ( #. ) = \f -> \p -> p `seq` rmap f p+ {-# INLINE ( #. ) #-}++ -- | Strictly map the first argument argument+ -- contravariantly with a function that is assumed+ -- operationally to be a cast, such as a newtype+ -- constructor.+ --+ -- /Note:/ This operation is explicitly /unsafe/+ -- since an implementation may choose to use+ -- 'unsafeCoerce' to implement this combinator+ -- and it has no way to validate that your function+ -- meets the requirements.+ --+ -- If you implement this combinator with+ -- 'unsafeCoerce', then you are taking upon yourself+ -- the obligation that you don't use GADT-like+ -- tricks to distinguish values.+ --+ -- If you import "Data.Profunctor.Unsafe" you are+ -- taking upon yourself the obligation that you+ -- will only call this with a second argument that is+ -- operationally identity.+ --+ -- @(.#) ≡ \\p -> p \`seq\` \\f -> 'lmap' f p@+ ( .# ) :: p b c -> (a -> b) -> p a c+ ( .# ) = \p -> p `seq` \f -> lmap f p+ {-# INLINE ( .# ) #-}++instance Profunctor (->) where+ dimap ab cd bc = cd . bc . ab+ {-# INLINE dimap #-}+ lmap = flip (.)+ {-# INLINE lmap #-}+ rmap = (.)+ {-# INLINE rmap #-}+ ( #. ) _ = unsafeCoerce+ {-# INLINE ( #. ) #-}+ ( .# ) pbc _ = unsafeCoerce pbc+ {-# INLINE ( .# ) #-}++instance Profunctor Tagged where+ dimap _ f (Tagged s) = Tagged (f s)+ {-# INLINE dimap #-}+ lmap _ = retag+ {-# INLINE lmap #-}+ rmap = fmap+ {-# INLINE rmap #-}+ ( #. ) _ = unsafeCoerce+ {-# INLINE ( #. ) #-}+ Tagged s .# _ = Tagged s+ {-# INLINE ( .# ) #-}++instance Monad m => Profunctor (Kleisli m) where+ dimap f g (Kleisli h) = Kleisli (liftM g . h . f)+ {-# INLINE dimap #-}+ lmap k (Kleisli f) = Kleisli (f . k)+ {-# INLINE lmap #-}+ rmap k (Kleisli f) = Kleisli (liftM k . f)+ {-# INLINE rmap #-}+ -- We cannot safely overload (#.) because we didn't provide the 'Monad'.+ ( .# ) pbc _ = unsafeCoerce pbc+ {-# INLINE ( .# ) #-}++instance Functor w => Profunctor (Cokleisli w) where+ dimap f g (Cokleisli h) = Cokleisli (g . h . fmap f)+ {-# INLINE dimap #-}+ lmap k (Cokleisli f) = Cokleisli (f . fmap k)+ {-# INLINE lmap #-}+ rmap k (Cokleisli f) = Cokleisli (k . f)+ {-# INLINE rmap #-}+ -- We cannot safely overload (.#) because we didn't provide the 'Functor'.+ ( #. ) _ = unsafeCoerce+ {-# INLINE ( #. ) #-}