free-alacarte (empty) → 0.1.0.2

raw patch · 3 files changed

+756/−0 lines, 3 filesdep +base

Dependencies added: base

Files

• COPYING +595/−0
• free-alacarte.cabal +56/−0
• src/Free/AlaCarte.hs +105/−0

@@ -0,0 +1,595 @@+GNU General Public License+==========================++_Version 3, 29 June 2007_  +_Copyright © 2007 Free Software Foundation, Inc. &lt;<http://fsf.org/>&gt;_++Everyone is permitted to copy and distribute verbatim copies of this license+document, but changing it is not allowed.++## Preamble++The GNU General Public License is a free, copyleft license for software and other+kinds of works.++The licenses for most software and other practical works are designed to take away+your freedom to share and change the works. By contrast, the GNU General Public+License is intended to guarantee your freedom to share and change all versions of a+program--to make sure it remains free software for all its users. We, the Free+Software Foundation, use the GNU General Public License for most of our software; it+applies also to any other work released this way by its authors. You can apply it to+your programs, too.++When we speak of free software, we are referring to freedom, not price. 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@@ -0,0 +1,56 @@+cabal-version: 1.12+name: free-alacarte+version: 0.1.0.2+maintainer:     Josep Bigorra <jjbigorra@gmail.com>+build-type:     Simple+license:        GPL-3+license-file: COPYING+synopsis: Free monads based on intuitions from the Data types à la Carte.             +description: Free monads based on intuitions from the Data types à la Carte paper. Combine functors and make embedded DSLs in Haskell.+                               +library+  exposed-modules:+    Free.AlaCarte+  hs-source-dirs:+    src+  default-extensions:+      BangPatterns+      BinaryLiterals+      ConstraintKinds+      DataKinds+      DefaultSignatures+      DeriveDataTypeable+      DeriveFoldable+      DeriveFunctor+      DeriveGeneric+      DeriveTraversable+      DoAndIfThenElse+      EmptyDataDecls+      ExistentialQuantification+      FlexibleContexts+      FlexibleInstances+      FunctionalDependencies+      GADTs+      InstanceSigs+      KindSignatures+      LambdaCase+      MultiParamTypeClasses+      MultiWayIf+      NamedFieldPuns+      OverloadedStrings+      PartialTypeSignatures+      PatternGuards+      PolyKinds+      RankNTypes+      RecordWildCards+      ScopedTypeVariables+      StandaloneDeriving+      TupleSections+      TypeFamilies+      TypeSynonymInstances+      ViewPatterns+  ghc-options: -Wall -Wcompat -Widentities -Wincomplete-record-updates -Wincomplete-uni-patterns -Wpartial-fields -Wredundant-constraints+  build-depends:+    base < 4.19.0.0+  default-language: GHC2021+

@@ -0,0 +1,105 @@+{-# LANGUAGE LambdaCase #-}+{-# OPTIONS_GHC -fno-warn-redundant-constraints #-}+{-# OPTIONS_GHC -fno-warn-missing-export-lists #-}+{-# OPTIONS_GHC -fno-warn-all-missed-specialisations #-}++-- Inspired on Data types a la carte++module Free.AlaCarte where++import Data.Kind++infixr 8 :+:++type (:+:) :: forall {k}. (k -> Type) -> (k -> Type) -> k -> Type+data (f :+: g) e = Left' (f e) | Right' (g e) deriving (Functor)++type (:<:) :: (Type -> Type) -> (Type -> Type) -> Constraint+class (Functor sub, Functor sup) => sub :<: sup where+  inj :: sub a -> sup a+  prj :: sup a -> Maybe (sub a)++instance (Functor f) => f :<: f where+  {-# INLINABLE inj #-}+  inj :: f a -> f a+  inj = id++  {-# INLINABLE prj #-}+  prj :: f a -> Maybe (f a)+  prj = Just++instance (Functor f, Functor g) => f :<: (f :+: g) where+  {-# INLINABLE inj #-}+  inj :: f a -> (f :+: g) a+  inj = Left'++  {-# INLINABLE prj #-}+  prj :: (f :+: g) a -> Maybe (f a)+  prj = \case+    Left' e -> Just e+    Right' _e -> Nothing++instance {-# OVERLAPPABLE #-} (Functor f, Functor g, f :<: g, Functor h) => f :<: (h :+: g) where+  {-# INLINABLE inj #-}+  inj :: f a -> (h :+: g) a+  inj = Right' . inj++  {-# INLINABLE prj #-}+  prj :: (h :+: g) a -> Maybe (f a)+  prj = \case+    Left' _e -> Nothing+    Right' e -> prj e++type Free :: (Type -> Type) -> Type -> Type+data Free f a+  = Pure a+  | Impure (f (Free f a))+  deriving (Functor)++instance (Functor f) => Applicative (Free f) where+  {-# INLINABLE pure #-}+  pure :: a -> Free f a+  pure = Pure++  {-# INLINABLE (<*>) #-}+  (<*>) :: Free f (a -> b) -> Free f a -> Free f b+  Pure f <*> t = fmap f t+  Impure f <*> t = Impure (fmap (<*> t) f)++instance (Functor f) => Monad (Free f) where+  {-# INLINABLE (>>=) #-}+  (>>=) :: Free f a -> (a -> Free f b) -> Free f b+  Pure x >>= f = f x+  Impure t >>= f = Impure (fmap (>>= f) t)++foldFree ::+  forall f a b.+  (Functor f) =>+  (a -> b) ->+  (f b -> b) ->+  Free f a ->+  b+foldFree pure' impure = go+  where+    go :: Free f a -> b+    go = \case+      Pure x -> pure' x+      Impure t -> impure (fmap go t)++exec :: (Exec f) => Free f a -> IO a+exec = foldFree return execAlgebra++instance (Exec f, Exec g) => Exec (f :+: g) where+  {-# INLINABLE execAlgebra #-}+  execAlgebra = \case+    Left' e -> execAlgebra e+    Right' e -> execAlgebra e++type Exec :: (Type -> Type) -> Constraint+class (Functor f) => Exec f where+  execAlgebra :: f (IO a) -> IO a++injectFree :: (g :<: f) => g (Free f a) -> Free f a+injectFree = Impure . inj++