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bifunctors 3.0 → 5.6.3

raw patch · 29 files changed

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− .travis.yml
@@ -1,1 +0,0 @@-language: haskell
+ CHANGELOG.markdown view
@@ -0,0 +1,276 @@+5.6.3 [2026.01.03]+------------------+* Allow building with `template-haskell-2.24.*` (GHC 9.14).+* Remove unused dependencies.++5.6.2 [2024.03.19]+------------------+* Support building with `template-haskell-2.22.*` (GHC 9.10).++5.6.1 [2023.03.13]+------------------+* Provide instances for the `Swap` and `Assoc` type classes from the `assoc`+  package. (These instances were previously defined in `assoc` itself, but they+  have been migrated over to `bifunctors` in tandem with the `assoc-1.1`+  release.)+* Only depend on `bifunctor-classes-compat` if building with GHC 8.0.++5.6 [2023.03.12]+----------------+* Drop support for GHC 7.10 and earlier.+* Move the `Data.Bifunctor`, `Data.Bifoldable`, and `Data.Bitraversable`+  compatibility modules to the new `bifunctor-classes-compat` package. For+  backwards compatibility, the `bifunctors` library re-exports+  `Data.Bifoldable` and `Data.Bitraversable` modules from+  `bifunctor-classes-compat` when building with GHC 8.0.++  If your library depends on `bifunctors` and compiles with pre-8.2+  versions of GHC, be warned that it may be possible to construct a+  build plan involving a pre-`5.6` version of `bifunctors` where:++  * Some of the `Bifunctor` instances come from+    `bifunctor-classes-compat`'s compatibility classes, and+  * Other `Bifunctor` instances come from `bifunctors`'s compatibility classes.++  These compatibility classes are distinct, so this could lead to build errors+  under certain conditions. Some possible ways to mitigate this risk include:++  * Drop support for GHC 8.0 and older in your library.+  * Require `bifunctors >= 5.6` in your library.+  * If neither of the options above are viable, then you can temporarily+    define instances for the old compatibility classes from `bifunctors` like+    so:++    ```hs+    -- For Bifunctor instances+    import qualified "bifunctor-classes-compat" Data.Bifunctor as BifunctorCompat+    #if !MIN_VERSION_bifunctors(5,6,0) && !MIN_VERSION_base(4,8,0)+    import qualified "bifunctors" Data.Bifunctor as Bifunctor+    #endif++    instance BifunctorCompat.Bifunctor MyType where ...++    #if !MIN_VERSION_bifunctors(5,6,0) && !MIN_VERSION_base(4,8,0)+    instance Bifunctor.Bifunctor MyType where ...+    #endif+    ```++    ```hs+    -- For Bifoldable and Bitraversable instances+    import qualified "bifunctor-classes-compat" Data.Bifoldable as BifoldableCompat+    import qualified "bifunctor-classes-compat" Data.Bitraversable as BitraversableCompat+    #if !MIN_VERSION_bifunctors(5,6,0) && !MIN_VERSION_base(4,10,0)+    import qualified "bifunctors" Data.Bifoldable as Bifoldable+    import qualified "bifunctors" Data.Bitraversable as Bitraversable+    #endif++    instance BifoldableCompat.Bifoldable MyType where ...+    instance BitraversableCompat.Bitraversable MyType where ...++    #if !MIN_VERSION_bifunctors(5,6,0) && !MIN_VERSION_base(4,10,0)+    instance Bifoldable.Bifoldable MyType where ...+    instance Bitraversable.Bitraversable MyType where ...+    #endif+    ```++  If your package does nothing but define instances of `Bifunctor` _et al._,+  you may consider replacing your `bifunctors` dependency with+  `bifunctor-classes-compat` to reduce your dependency footprint. If you do,+  it is strongly recommended that you bump your package's major version number+  so that your users are alerted to the details of the migration.+* Define a `Foldable1` instance for `Joker`, and define `Bifoldable1` instances+  for `Biff`, `Clown`, `Flip`, `Join`, `Joker`, `Product`, `Tannen`, and+  `WrappedBifunctor`. These instances were originally defined in the+  `semigroupoids` library, and they have now been migrated to `bifunctors` as+  a side effect of adapting to+  [this Core Libraries Proposal](https://github.com/haskell/core-libraries-committee/issues/9),+  which adds `Foldable1` and `Bifoldable1` to `base`.++5.5.15 [2023.02.27]+-------------------+* Support `th-abstraction-0.5.*`.++5.5.14 [2022.12.07]+-------------------+* Define `Functor`, `Foldable`, and `Traversable` instances for `Sum` and+  `Product`.++5.5.13 [2022.09.12]+-------------------+* Make the `Biapplicative` instances for tuples lazy, to match their `Bifunctor`+  instances.++5.5.12 [2022.05.07]+-------------------+* Backport an upstream GHC change which removes the default implementation of+  `bitraverse`. Per the discussion in+  https://github.com/haskell/core-libraries-committee/issues/47, this default+  implementation was completely broken, as attempting to use it would always+  result in an infinite loop.++5.5.11 [2021.04.30]+-------------------+* Allow building with `template-haskell-2.18` (GHC 9.2).++5.5.10 [2021.01.21]+-------------------+* Fix a bug in which `deriveBifoldable` could generate code that triggers+  `-Wunused-matches` warnings.++5.5.9 [2020.12.30]+------------------+* Explicitly mark modules as Safe or Trustworthy.++5.5.8 [2020.10.01]+------------------+* Fix a bug in which `deriveBifunctor` would fail on sufficiently complex uses+  of rank-n types in constructor fields.+* Fix a bug in which `deriveBiunctor` and related functions would needlessly+  reject data types whose two last type parameters appear as oversaturated+  arguments to a type family.++5.5.7 [2020.01.29]+------------------+* Add `Data.Bifunctor.Biap`.++5.5.6 [2019.11.26]+------------------+* Add `Category`, `Arrow`, `ArrowChoice`, `ArrowLoop`, `ArrowZero`, and+  `ArrowPlus` instances for `Data.Bifunctor.Product`.++5.5.5 [2019.08.27]+------------------+* Add `Eq{1,2}`, `Ord{1,2}`, `Read{1,2}`, and `Show{1,2}` instances for data+  types in the `Data.Bifunctor.*` module namespace where possible. The+  operative phrase is "where possible" since many of these instances require+  the use of `Eq2`/`Ord2`/`Read2`/`Show2`, which are not available when+  built against `transformers-0.4.*`.++5.5.4 [2019.04.26]+------------------+* Support `th-abstraction-0.3` or later.+* Don't incur a `semigroup` dependency on recent GHCs.++5.5.3 [2018.07.04]+------------------+* Make `biliftA2` a class method of `Biapplicative`.+* Add the `traverseBia`, `sequenceBia`, and `traverseBiaWith` functions for+  traversing a `Traversable` container in a `Biapplicative`.+* Avoid incurring some dependencies when using recent GHCs.++5.5.2 [2018.02.06]+------------------+* Don't enable `Safe` on GHC 7.2.++5.5.1 [2018.02.04]+------------------+* Test suite fixes for GHC 8.4.++5.5 [2017.12.07]+----------------+* `Data.Bifunctor.TH` now derives `bimap`/`bitraverse`+  implementations for empty data types that are strict in the argument.+* `Data.Bifunctor.TH` no longer derives `bifoldr`/`bifoldMap` implementations+  that error on empty data types. Instead, they simply return the folded state+  (for `bifoldr`) or `mempty` (for `bifoldMap`).+* When using `Data.Bifunctor.TH` to derive `Bifunctor` or `Bitraversable`+  instances for data types where the last two type variables are at phantom+  roles, generated `bimap`/`bitraverse` implementations now use `coerce` for+  efficiency.+* Add `Options` to `Data.Bifunctor.TH`, along with variants of existing+  functions that take `Options` as an argument. For now, the only configurable+  option is whether derived instances for empty data types should use the+  `EmptyCase` extension (this is disabled by default).++5.4.2+-----+* Make `deriveBitraversable` use `liftA2` in derived implementations of `bitraverse` when possible, now that `liftA2` is a class method of `Applicative` (as of GHC 8.2)+* Backport slightly more efficient implementations of `bimapDefault` and `bifoldMapDefault`++5.4.1+-----+* Add explicit `Safe`, `Trustworthy`, and `Unsafe` annotations. In particular, annotate the `Data.Bifoldable` module as `Trustworthy` (previously, it was inferred to be `Unsafe`).++5.4+---+* Only export `Data.Bifoldable` and `Data.Bitraversable` when building on GHC < 8.1, otherwise they come from `base`+* Allow TH derivation of `Bifunctor` and `Bifoldable` instances for datatypes containing unboxed tuple types++5.3+---+* Added `bifoldr1`, `bifoldl1`, `bimsum`, `biasum`, `binull`, `bilength`, `bielem`, `bimaximum`, `biminimum`, `bisum`, `biproduct`, `biand`, `bior`, `bimaximumBy`, `biminimumBy`, `binotElem`, and `bifind` to `Data.Bifoldable`+* Added `Bifunctor`, `Bifoldable`, and `Bitraversable` instances for `GHC.Generics.K1`+* TH code no longer generates superfluous `mempty` or `pure` subexpressions in derived `Bifoldable` or `Bitraversable` instances, respectively++5.2.1+----+* Added `Bifoldable` and `Bitraversable` instances for `Constant` from `transformers`+* `Data.Bifunctor.TH` now compiles warning-free on GHC 8.0++5.2+-----+* Added several `Arrow`-like instances for `Tannen` so we can use it as the Cayley construction if needed.+* Added `Data.Bifunctor.Sum`+* Added `BifunctorFunctor`, `BifunctorMonad` and `BifunctorComonad`.+* Backported `Bifunctor Constant` instance from `transformers`++5.1+---+* Added `Data.Bifunctor.Fix`+* Added `Data.Bifunctor.TH`, which permits `TemplateHaskell`-based deriving of `Bifunctor`, `Bifoldable` and `Bitraversable` instances.+* Simplified `Bitraversable`.++5+-+* Inverted the dependency on `semigroupoids`. We can support a much wider array of `base` versions than it can.+* Added flags++4.2.1+-----+* Support `Arg` from `semigroups` 0.16.2+* Fixed a typo.++4.2+---+* Bumped dependency on `tagged`, which is required to build cleanly on GHC 7.9++* Only export `Data.Bifunctor` when building on GHC < 7.9, otherwise it comes from `base`.++4.1.1.1+-------+* Added documentation for 'Bifoldable' and 'Bitraversable'++4.1.1+-----+* Added `Data.Bifunctor.Join`+* Fixed improper lower bounds on `base`++4.1.0.1+-------+* Updated to BSD 2-clause license++4.1+---+* Added product bifunctors++4.0+---+* Compatibility with `semigroupoids` 4.0++3.2+---+* Added missing product instances for `Biapplicative` and `Biapply`.++3.1+-----+* Added `Data.Biapplicative`.+* Added the `Clown` and `Joker` bifunctors from Conor McBride's "Clowns to the left of me, Jokers to the right."+* Added instances for `Const`, higher tuples+* Added `Tagged` instances.++3.0.4+-----+* Added `Data.Bifunctor.Flip` and `Data.Bifunctor.Wrapped`.++3.0.3+---+* Removed upper bounds from my other package dependencies
LICENSE view
@@ -1,4 +1,4 @@-Copyright 2008-2011 Edward Kmett+Copyright 2008-2016 Edward Kmett  All rights reserved. @@ -12,10 +12,6 @@ 2. Redistributions in binary form must reproduce the above copyright    notice, this list of conditions and the following disclaimer in the    documentation and/or other materials provided with the distribution.--3. Neither the name of the author nor the names of his contributors-   may be used to endorse or promote products derived from this software-   without specific prior written permission.  THIS SOFTWARE IS PROVIDED BY THE AUTHORS ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ README.markdown view
@@ -0,0 +1,13 @@+bifunctors+==========++[![Hackage](https://img.shields.io/hackage/v/bifunctors.svg)](https://hackage.haskell.org/package/bifunctors) [![Build Status](https://github.com/ekmett/bifunctors/workflows/Haskell-CI/badge.svg)](https://github.com/ekmett/bifunctors/actions?query=workflow%3AHaskell-CI)++Contact Information+-------------------++Contributions and bug reports are welcome!++Please feel free to contact me through github or on the #haskell IRC channel on irc.freenode.net.++-Edward Kmett
bifunctors.cabal view
@@ -1,37 +1,113 @@+cabal-version: 1.24 name:          bifunctors category:      Data, Functors-version:       3.0+version:       5.6.3 license:       BSD3-cabal-version: >= 1.6 license-file:  LICENSE author:        Edward A. Kmett maintainer:    Edward A. Kmett <ekmett@gmail.com> stability:     provisional homepage:      http://github.com/ekmett/bifunctors/ bug-reports:   http://github.com/ekmett/bifunctors/issues-copyright:     Copyright (C) 2008-2011 Edward A. Kmett-synopsis:      Haskell 98 bifunctors-description:   Haskell 98 bifunctors+copyright:     Copyright (C) 2008-2016 Edward A. Kmett+synopsis:      Bifunctors+description:   Bifunctors. build-type:    Simple-extra-source-files: .travis.yml+tested-with:   GHC == 8.0.2+             , GHC == 8.2.2+             , GHC == 8.4.4+             , GHC == 8.6.5+             , GHC == 8.8.4+             , GHC == 8.10.7+             , GHC == 9.0.2+             , GHC == 9.2.8+             , GHC == 9.4.8+             , GHC == 9.6.7+             , GHC == 9.8.4+             , GHC == 9.10.3+             , GHC == 9.12.2+             , GHC == 9.14.1+extra-source-files:+  CHANGELOG.markdown+  README.markdown  source-repository head   type: git-  location: git://github.com/ekmett/bifunctors.git+  location: https://github.com/ekmett/bifunctors.git +flag tagged+  default: True+  manual: True+  description:+    You can disable the use of the `tagged` package using `-f-tagged`.+    .+    Disabing this is an unsupported configuration, but it may be useful for accelerating builds in sandboxes for expert users.+ library   hs-source-dirs: src   build-depends:-    base          == 4.*,-    semigroups    >= 0.8.3.1 && < 0.9,-    semigroupoids == 3.0.*+    base                     >= 4.9     && < 5,+    assoc                    >= 1.1     && < 1.2,+    comonad                  >= 5.0.7   && < 6,+    containers               >= 0.5.7.1 && < 0.9,+    template-haskell         >= 2.11    && < 2.25,+    th-abstraction           >= 0.4.2.0 && < 0.8 +  if !impl(ghc >= 8.2)+    build-depends:+      bifunctor-classes-compat >= 0.1 && < 0.2,+      transformers-compat      >= 0.6 && < 0.8++  if flag(tagged)+    build-depends: tagged >= 0.8.6 && < 1++  if impl(ghc<8.1)+    reexported-modules:+        Data.Bifoldable+      , Data.Bitraversable++  if !impl(ghc >= 9.6)+    build-depends: foldable1-classes-compat >= 0.1 && < 0.2+   exposed-modules:-    Data.Bifunctor-    Data.Bifunctor.Apply-    Data.Bifoldable-    Data.Bitraversable-    Data.Semigroup.Bifoldable-    Data.Semigroup.Bitraversable+    Data.Biapplicative+    Data.Bifunctor.Biap+    Data.Bifunctor.Biff+    Data.Bifunctor.Clown+    Data.Bifunctor.Fix+    Data.Bifunctor.Flip+    Data.Bifunctor.Functor+    Data.Bifunctor.Join+    Data.Bifunctor.Joker+    Data.Bifunctor.Product+    Data.Bifunctor.Sum+    Data.Bifunctor.Tannen+    Data.Bifunctor.TH+    Data.Bifunctor.Wrapped +  other-modules:+    Data.Bifunctor.TH.Internal+   ghc-options: -Wall+  default-language: Haskell2010++  if impl(ghc >= 9.0)+    -- these flags may abort compilation with GHC-8.10+    -- https://gitlab.haskell.org/ghc/ghc/-/merge_requests/3295+    ghc-options: -Winferred-safe-imports -Wmissing-safe-haskell-mode++test-suite bifunctors-spec+  type: exitcode-stdio-1.0+  hs-source-dirs: tests+  main-is: Spec.hs+  other-modules: BifunctorSpec T89Spec+  ghc-options: -Wall+  if impl(ghc >= 8.6)+    ghc-options: -Wno-star-is-type+  default-language: Haskell2010+  build-tool-depends: hspec-discover:hspec-discover >= 1.8+  build-depends:+    base                >= 4   && < 5,+    bifunctors,+    hspec               >= 1.8,+    QuickCheck          >= 2   && < 3
+ src/Data/Biapplicative.hs view
@@ -0,0 +1,316 @@+{-# LANGUAGE CPP #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE RankNTypes #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE Trustworthy #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2011-2015 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Biapplicative (+  -- * Biapplicative bifunctors+    Biapplicative(..)+  , (<<$>>)+  , (<<**>>)+  , biliftA3+  , traverseBia+  , sequenceBia+  , traverseBiaWith+  , module Data.Bifunctor+  ) where++import Control.Applicative+import Data.Bifunctor+import Data.Functor.Identity+import Data.Semigroup (Arg(..))+import GHC.Exts (inline)++#ifdef MIN_VERSION_tagged+import Data.Tagged+#endif++infixl 4 <<$>>, <<*>>, <<*, *>>, <<**>>+(<<$>>) :: (a -> b) -> a -> b+(<<$>>) = id+{-# INLINE (<<$>>) #-}++class Bifunctor p => Biapplicative p where+  {-# MINIMAL bipure, ((<<*>>) | biliftA2 ) #-}+  bipure :: a -> b -> p a b++  (<<*>>) :: p (a -> b) (c -> d) -> p a c -> p b d+  (<<*>>) = biliftA2 id id+  {-# INLINE (<<*>>) #-}++  -- | Lift binary functions+  biliftA2 :: (a -> b -> c) -> (d -> e -> f) -> p a d -> p b e -> p c f+  biliftA2 f g a b = bimap f g <<$>> a <<*>> b+  {-# INLINE biliftA2 #-}++  -- |+  -- @+  -- a '*>>' b ≡ 'bimap' ('const' 'id') ('const' 'id') '<<$>>' a '<<*>>' b+  -- @+  (*>>) :: p a b -> p c d -> p c d+  a *>> b = biliftA2 (const id) (const id) a b+  {-# INLINE (*>>) #-}++  -- |+  -- @+  -- a '<<*' b ≡ 'bimap' 'const' 'const' '<<$>>' a '<<*>>' b+  -- @+  (<<*) :: p a b -> p c d -> p a b+  a <<* b = biliftA2 const const a b+  {-# INLINE (<<*) #-}++(<<**>>) :: Biapplicative p => p a c -> p (a -> b) (c -> d) -> p b d+(<<**>>) = biliftA2 (flip id) (flip id)+{-# INLINE (<<**>>) #-}+++-- | Lift ternary functions+biliftA3 :: Biapplicative w => (a -> b -> c -> d) -> (e -> f -> g -> h) -> w a e -> w b f -> w c g -> w d h+biliftA3 f g a b c = biliftA2 f g a b <<*>> c+{-# INLINE biliftA3 #-}++-- | Traverse a 'Traversable' container in a 'Biapplicative'.+--+-- 'traverseBia' satisfies the following properties:+--+-- [/Pairing/]+--+--     @'traverseBia' (,) t = (t, t)@+--+-- [/Composition/]+--+--     @'traverseBia' ('Data.Bifunctor.Biff.Biff' . 'bimap' g h . f) = 'Data.Bifunctor.Biff.Biff' . 'bimap' ('traverse' g) ('traverse' h) . 'traverseBia' f@+--+--     @'traverseBia' ('Data.Bifunctor.Tannen.Tannen' . 'fmap' f . g) = 'Data.Bifunctor.Tannen.Tannen' . 'fmap' ('traverseBia' f) . 'traverse' g@+--+-- [/Naturality/]+--+--     @ t . 'traverseBia' f = 'traverseBia' (t . f) @+--+--     for every biapplicative transformation @t@.+--+--     A /biapplicative transformation/ from a 'Biapplicative' @P@ to a 'Biapplicative' @Q@+--     is a function+--+--     @t :: P a b -> Q a b@+--+--     preserving the 'Biapplicative' operations. That is,+--+--     * @t ('bipure' x y) = 'bipure' x y@+--+--     * @t (x '<<*>>' y) = t x '<<*>>' t y@+--+-- === Performance note+--+-- 'traverseBia' is fairly efficient, and uses compiler rewrite rules+-- to be even more efficient for a few important types like @[]@. However,+-- if performance is critical, you might consider writing a container-specific+-- implementation.+traverseBia :: (Traversable t, Biapplicative p)+            => (a -> p b c) -> t a -> p (t b) (t c)+traverseBia = inline (traverseBiaWith traverse)+-- We explicitly inline traverseBiaWith because it seems likely to help+-- specialization. I'm not much of an expert at the inlining business,+-- so I won't mind if someone else decides to do this differently.++-- We use a staged INLINABLE so we can rewrite traverseBia to specialized+-- versions for a few important types.+{-# INLINABLE [1] traverseBia #-}++-- | Perform all the 'Biapplicative' actions in a 'Traversable' container+-- and produce a container with all the results.+--+-- @+-- sequenceBia = 'traverseBia' id+-- @+sequenceBia :: (Traversable t, Biapplicative p)+            => t (p b c) -> p (t b) (t c)+sequenceBia = inline (traverseBia id)+{-# INLINABLE sequenceBia #-}++-- | A version of 'traverseBia' that doesn't care how the traversal is+-- done.+--+-- @+-- 'traverseBia' = traverseBiaWith traverse+-- @+traverseBiaWith :: forall p a b c s t. Biapplicative p+  => (forall f x. Applicative f => (a -> f x) -> s -> f (t x))+  -> (a -> p b c) -> s -> p (t b) (t c)+traverseBiaWith trav p s = smash p (trav One s)+{-# INLINABLE traverseBiaWith #-}++smash :: forall p t a b c. Biapplicative p+      => (a -> p b c)+      -> (forall x. Mag a x (t x))+      -> p (t b) (t c)+smash p m = go m m+  where+    go :: forall x y. Mag a b x -> Mag a c y -> p x y+    go (Pure t) (Pure u) = bipure t u+    go (Map f x) (Map g y) = bimap f g (go x y)+    go (Ap fs xs) (Ap gs ys) = go fs gs <<*>> go xs ys+#if MIN_VERSION_base(4,10,0)+    go (LiftA2 f xs ys) (LiftA2 g zs ws) = biliftA2 f g (go xs zs) (go ys ws)+#endif+    go (One x) (One _) = p x+    go _ _ = impossibleError+{-# INLINABLE smash #-}++-- Let's not end up with a bunch of CallStack junk in the smash+-- unfolding.+impossibleError :: a+impossibleError = error "Impossible: the arguments are always the same."++-- This is used to reify a traversal for 'traverseBia'. It's a somewhat+-- bogus 'Functor' and 'Applicative' closely related to 'Magma' from the+-- @lens@ package. Valid traversals don't use (<$), (<*), or (*>), so+-- we leave them out. We offer all the rest of the Functor and Applicative+-- operations to improve performance: we generally want to keep the structure+-- as small as possible. We might even consider using RULES to widen lifts+-- when we can:+--+--   liftA2 f x y <*> z ==> liftA3 f x y z,+--+-- etc., up to the pointer tagging limit. But we do need to be careful. I don't+-- *think* GHC will ever inline the traversal into the go function (because that+-- would duplicate work), but if it did, and if different RULES fired for the+-- two copies, everything would break horribly.+--+-- Note: if it's necessary for some reason, we *could* relax GADTs to+-- ExistentialQuantification by changing the type of One to+--+--   One :: (b -> c) -> a -> Mag a b c+--+-- where the function will always end up being id. But we allocate a *lot*+-- of One constructors, so this would definitely be bad for performance.+data Mag a b t where+  Pure :: t -> Mag a b t+  Map :: (x -> t) -> Mag a b x -> Mag a b t+  Ap :: Mag a b (t -> u) -> Mag a b t -> Mag a b u+#if MIN_VERSION_base(4,10,0)+  LiftA2 :: (t -> u -> v) -> Mag a b t -> Mag a b u -> Mag a b v+#endif+  One :: a -> Mag a b b++instance Functor (Mag a b) where+  fmap = Map++instance Applicative (Mag a b) where+  pure = Pure+  (<*>) = Ap+#if MIN_VERSION_base(4,10,0)+  liftA2 = LiftA2+#endif++-- Rewrite rules for traversing a few important types. These avoid the overhead+-- of allocating and matching on a Mag.+{-# RULES+"traverseBia/list" forall f t. traverseBia f t = traverseBiaList f t+"traverseBia/Maybe" forall f t. traverseBia f t = traverseBiaMaybe f t+"traverseBia/Either" forall f t. traverseBia f t = traverseBiaEither f t+"traverseBia/Identity" forall f t. traverseBia f t = traverseBiaIdentity f t+"traverseBia/Const" forall f t. traverseBia f t = traverseBiaConst f t+"traverseBia/Pair" forall f t. traverseBia f t = traverseBiaPair f t+ #-}++traverseBiaList :: Biapplicative p => (a -> p b c) -> [a] -> p [b] [c]+traverseBiaList f = foldr go (bipure [] [])+  where+    go x r = biliftA2 (:) (:) (f x) r++traverseBiaMaybe :: Biapplicative p => (a -> p b c) -> Maybe a -> p (Maybe b) (Maybe c)+traverseBiaMaybe _f Nothing = bipure Nothing Nothing+traverseBiaMaybe f (Just x) = bimap Just Just (f x)++traverseBiaEither :: Biapplicative p => (a -> p b c) -> Either e a -> p (Either e b) (Either e c)+traverseBiaEither f (Right x) = bimap Right Right (f x)+traverseBiaEither _f (Left (e :: e)) = bipure m m+  where+    m :: Either e x+    m = Left e++traverseBiaIdentity :: Biapplicative p => (a -> p b c) -> Identity a -> p (Identity b) (Identity c)+traverseBiaIdentity f (Identity x) = bimap Identity Identity (f x)++traverseBiaConst :: Biapplicative p => (a -> p b c) -> Const x a -> p (Const x b) (Const x c)+traverseBiaConst _f (Const x) = bipure (Const x) (Const x)++traverseBiaPair :: Biapplicative p => (a -> p b c) -> (e, a) -> p (e, b) (e, c)+traverseBiaPair f (x,y) = bimap ((,) x) ((,) x) (f y)++----------------------------------------------+--+-- Instances++instance Biapplicative (,) where+  bipure = (,)+  {-# INLINE bipure #-}+  ~(f, g) <<*>> ~(a, b) = (f a, g b)+  {-# INLINE (<<*>>) #-}+  biliftA2 f g ~(x, y) ~(a, b) = (f x a, g y b)+  {-# INLINE biliftA2 #-}++instance Biapplicative Arg where+  bipure = Arg+  {-# INLINE bipure #-}+  Arg f g <<*>> Arg a b = Arg (f a) (g b)+  {-# INLINE (<<*>>) #-}+  biliftA2 f g (Arg x y) (Arg a b) = Arg (f x a) (g y b)+  {-# INLINE biliftA2 #-}++instance Monoid x => Biapplicative ((,,) x) where+  bipure = (,,) mempty+  {-# INLINE bipure #-}+  ~(x, f, g) <<*>> ~(x', a, b) = (mappend x x', f a, g b)+  {-# INLINE (<<*>>) #-}++instance (Monoid x, Monoid y) => Biapplicative ((,,,) x y) where+  bipure = (,,,) mempty mempty+  {-# INLINE bipure #-}+  ~(x, y, f, g) <<*>> ~(x', y', a, b) = (mappend x x', mappend y y', f a, g b)+  {-# INLINE (<<*>>) #-}++instance (Monoid x, Monoid y, Monoid z) => Biapplicative ((,,,,) x y z) where+  bipure = (,,,,) mempty mempty mempty+  {-# INLINE bipure #-}+  ~(x, y, z, f, g) <<*>> ~(x', y', z', a, b) = (mappend x x', mappend y y', mappend z z', f a, g b)+  {-# INLINE (<<*>>) #-}++instance (Monoid x, Monoid y, Monoid z, Monoid w) => Biapplicative ((,,,,,) x y z w) where+  bipure = (,,,,,) mempty mempty mempty mempty+  {-# INLINE bipure #-}+  ~(x, y, z, w, f, g) <<*>> ~(x', y', z', w', a, b) = (mappend x x', mappend y y', mappend z z', mappend w w', f a, g b)+  {-# INLINE (<<*>>) #-}++instance (Monoid x, Monoid y, Monoid z, Monoid w, Monoid v) => Biapplicative ((,,,,,,) x y z w v) where+  bipure = (,,,,,,) mempty mempty mempty mempty mempty+  {-# INLINE bipure #-}+  ~(x, y, z, w, v, f, g) <<*>> ~(x', y', z', w', v', a, b) = (mappend x x', mappend y y', mappend z z', mappend w w', mappend v v', f a, g b)+  {-# INLINE (<<*>>) #-}++#ifdef MIN_VERSION_tagged+instance Biapplicative Tagged where+  bipure _ b = Tagged b+  {-# INLINE bipure #-}++  Tagged f <<*>> Tagged x = Tagged (f x)+  {-# INLINE (<<*>>) #-}+#endif++instance Biapplicative Const where+  bipure a _ = Const a+  {-# INLINE bipure #-}+  Const f <<*>> Const x = Const (f x)+  {-# INLINE (<<*>>) #-}
− src/Data/Bifoldable.hs
@@ -1,105 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Bifoldable--- Copyright   :  (C) 2011 Edward Kmett,--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Bifoldable -  ( Bifoldable(..)-  , bifoldr'-  , bifoldrM-  , bifoldl'-  , bifoldlM-  , bitraverse_-  , bifor_-  , bimapM_-  , biforM_-  , bisequenceA_-  , bisequence_-  , biList-  , biconcat-  , biconcatMap-  , biany-  , biall-  ) where--import Control.Applicative-import Data.Monoid--class Bifoldable p where-  bifold :: Monoid m => p m m -> m-  bifold = bifoldMap id id--  bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> p a b -> m-  bifoldMap f g = bifoldr (mappend . f) (mappend . g) mempty--  bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> p a b -> c-  bifoldr f g z t = appEndo (bifoldMap (Endo . f) (Endo . g) t) z--  bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> p a b -> c-  bifoldl f g z t = appEndo (getDual (bifoldMap (Dual . Endo . flip f) (Dual . Endo . flip g) t)) z--instance Bifoldable (,) where-  bifoldMap f g (a, b) = f a `mappend` g b--instance Bifoldable Either where-  bifoldMap f _ (Left a) = f a-  bifoldMap _ g (Right b) = g b--bifoldr' :: Bifoldable t => (a -> c -> c) -> (b -> c -> c) -> c -> t a b -> c-bifoldr' f g z0 xs = bifoldl f' g' id xs z0 where -  f' k x z = k $! f x z-  g' k x z = k $! g x z--bifoldrM :: (Bifoldable t, Monad m) => (a -> c -> m c) -> (b -> c -> m c) -> c -> t a b -> m c-bifoldrM f g z0 xs = bifoldl f' g' return xs z0 where-  f' k x z = f x z >>= k-  g' k x z = g x z >>= k--bifoldl':: Bifoldable t => (a -> b -> a) -> (a -> c -> a) -> a -> t b c -> a-bifoldl' f g z0 xs = bifoldr f' g' id xs z0 where-  f' x k z = k $! f z x -  g' x k z = k $! g z x--bifoldlM :: (Bifoldable t, Monad m) => (a -> b -> m a) -> (a -> c -> m a) -> a -> t b c -> m a -bifoldlM f g z0 xs = bifoldr f' g' return xs z0 where-  f' x k z = f z x >>= k-  g' x k z = g z x >>= k-  -bitraverse_ :: (Bifoldable t, Applicative f) => (a -> f c) -> (b -> f d) -> t a b -> f ()-bitraverse_ f g = bifoldr ((*>) . f) ((*>) . g) (pure ())--bifor_ :: (Bifoldable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f ()-bifor_ t f g = bitraverse_ f g t--bimapM_:: (Bifoldable t, Monad m) => (a -> m c) -> (b -> m d) -> t a b -> m ()-bimapM_ f g = bifoldr ((>>) . f) ((>>) . g) (return ())--biforM_ :: (Bifoldable t, Monad m) => t a b ->  (a -> m c) -> (b -> m d) -> m ()-biforM_ t f g = bimapM_ f g t--bisequenceA_ :: (Bifoldable t, Applicative f) => t (f a) (f b) -> f ()-bisequenceA_ = bifoldr (*>) (*>) (pure ())--bisequence_ :: (Bifoldable t, Monad m) => t (m a) (m b) -> m ()-bisequence_ = bifoldr (>>) (>>) (return ())--biList :: Bifoldable t => t a a -> [a]-biList = bifoldr (:) (:) []--biconcat :: Bifoldable t => t [a] [a] -> [a]-biconcat = bifold--biconcatMap :: Bifoldable t => (a -> [c]) -> (b -> [c]) -> t a b -> [c]-biconcatMap = bifoldMap --biany :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool-biany p q = getAny . bifoldMap (Any . p) (Any . q)--biall :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool-biall p q = getAll . bifoldMap (All . p) (All . q)
− src/Data/Bifunctor.hs
@@ -1,44 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Bifunctor--- Copyright   :  (C) 2008-2011 Edward Kmett,--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Bifunctor (Bifunctor(..)) where--import Control.Applicative---- | Minimal definition either 'bimap' or 'first' and 'second'-class Bifunctor p where-  bimap :: (a -> b) -> (c -> d) -> p a c -> p b d-  bimap f g = first f . second g--  first :: (a -> b) -> p a c -> p b c-  first f = bimap f id--  second :: (b -> c) -> p a b -> p a c-  second = bimap id --instance Bifunctor (,) where-  bimap f g (a, b) = (f a, g b)--instance Bifunctor ((,,) x) where-  bimap f g (x, a, b) = (x, f a, g b)--instance Bifunctor ((,,,) x y) where-  bimap f g (x, y, a, b) = (x, y, f a, g b)--instance Bifunctor ((,,,,) x y z) where-  bimap f g (x, y, z, a, b) = (x, y, z, f a, g b)--instance Bifunctor Either where-  bimap f _ (Left a) = Left (f a)-  bimap _ g (Right b) = Right (g b)--instance Bifunctor Const where-  bimap f _ (Const a) = Const (f a)
− src/Data/Bifunctor/Apply.hs
@@ -1,55 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Bifunctor.Apply--- Copyright   :  (C) 2011 Edward Kmett,--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Bifunctor.Apply (-  -- * Functors-  -- * BiAppliable bifunctors-    Biapply(..)-  , (<<$>>)-  , (<<..>>)-  , bilift2-  , bilift3-  , module Data.Bifunctor-  ) where--import Data.Bifunctor--infixl 4 <<$>>, <<.>>, <<., .>>, <<..>>--(<<$>>) :: (a -> b) -> a -> b-(<<$>>) = id--class Bifunctor p => Biapply p where-  (<<.>>) :: p (a -> b) (c -> d) -> p a c -> p b d--  -- | a .> b = const id <$> a <.> b-  (.>>) :: p a b -> p c d -> p c d-  a .>> b = bimap (const id) (const id) <<$>> a <<.>> b--  -- | a <. b = const <$> a <.> b-  (<<.) :: p a b -> p c d -> p a b-  a <<. b = bimap const const <<$>> a <<.>> b--(<<..>>) :: Biapply p => p a c -> p (a -> b) (c -> d) -> p b d-(<<..>>) = bilift2 (flip id) (flip id)---- | Lift binary functions-bilift2 :: Biapply w => (a -> b -> c) -> (d -> e -> f) -> w a d -> w b e -> w c f-bilift2 f g a b = bimap f g <<$>> a <<.>> b-{-# INLINE bilift2 #-}---- | Lift ternary functions-bilift3 :: Biapply w => (a -> b -> c -> d) -> (e -> f -> g -> h) -> w a e -> w b f -> w c g -> w d h-bilift3 f g a b c = bimap f g <<$>> a <<.>> b <<.>> c-{-# INLINE bilift3 #-}--instance Biapply (,) where-  (f, g) <<.>> (a, b) = (f a, g b)
+ src/Data/Bifunctor/Biap.hs view
@@ -0,0 +1,116 @@+{-# LANGUAGE CPP                        #-}+{-# LANGUAGE DeriveGeneric              #-}+{-# LANGUAGE EmptyDataDecls             #-}+{-# LANGUAGE FlexibleContexts           #-}+{-# LANGUAGE DeriveTraversable          #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE ScopedTypeVariables        #-}+{-# LANGUAGE TypeFamilies               #-}+-- This module uses GND+{-# LANGUAGE Trustworthy #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Biap+ ( Biap(..)+ ) where++import Control.Applicative+import Control.Monad+import qualified Control.Monad.Fail as Fail (MonadFail)+import Data.Biapplicative+import Data.Bifoldable+import Data.Bitraversable+import Data.Functor.Classes+import qualified Data.Semigroup as S+import GHC.Generics++-- | Pointwise lifting of a class over two arguments, using+-- 'Biapplicative'.+--+-- Classes that can be lifted include 'Monoid', 'Num' and+-- 'Bounded'. Each method of those classes can be defined as lifting+-- themselves over each argument of 'Biapplicative'.+--+-- @+-- mempty        = bipure mempty          mempty+-- minBound      = bipure minBound        minBound+-- maxBound      = bipure maxBound        maxBound+-- fromInteger n = bipure (fromInteger n) (fromInteger n)+--+-- negate = bimap negate negate+--+-- (+)  = biliftA2 (+)  (+)+-- (<>) = biliftA2 (<>) (<>)+-- @+--+-- 'Biap' is to 'Biapplicative' as 'Data.Monoid.Ap' is to+-- 'Applicative'.+--+-- 'Biap' can be used with @DerivingVia@ to derive a numeric instance+-- for pairs:+--+-- @+-- newtype Numpair a = Np (a, a)+--  deriving (S.Semigroup, Monoid, Num, Bounded)+--  via Biap (,) a a+-- @+--+newtype Biap bi a b = Biap { getBiap :: bi a b }+ deriving ( Eq+          , Ord+          , Show+          , Read+          , Enum+          , Functor+          , Foldable+          , Traversable+          , Alternative+          , Applicative+          , Generic+          , Generic1+          , Monad+          , Fail.MonadFail+          , MonadPlus+          , Eq1+          , Ord1+          , Bifunctor+          , Biapplicative+          , Bifoldable+          , Eq2+          , Ord2+          )++instance Bitraversable bi => Bitraversable (Biap bi) where+ bitraverse f g (Biap as) = Biap <$> bitraverse f g as++instance (Biapplicative bi, S.Semigroup a, S.Semigroup b) => S.Semigroup (Biap bi a b) where+  (<>) = biliftA2 (S.<>) (S.<>)++instance (Biapplicative bi, Monoid a, Monoid b) => Monoid (Biap bi a b) where+  mempty = bipure mempty mempty+#if !(MIN_VERSION_base(4,11,0))+  mappend = biliftA2 mappend mappend+#endif++instance (Biapplicative bi, Bounded a, Bounded b) => Bounded (Biap bi a b) where+  minBound = bipure minBound minBound+  maxBound = bipure maxBound maxBound++instance (Biapplicative bi, Num a, Num b) => Num (Biap bi a b) where+  (+) = biliftA2 (+) (+)+  (*) = biliftA2 (*) (*)++  negate = bimap negate negate+  abs    = bimap abs    abs+  signum = bimap signum signum++  fromInteger n = bipure (fromInteger n) (fromInteger n)
+ src/Data/Bifunctor/Biff.hs view
@@ -0,0 +1,110 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Biff+  ( Biff(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bifunctor.Swap (Swap (..))+import Data.Bitraversable+import Data.Foldable1 (Foldable1(..))+import Data.Functor.Classes+import GHC.Generics++-- | Compose two 'Functor's on the inside of a 'Bifunctor'.+newtype Biff p f g a b = Biff { runBiff :: p (f a) (g b) }+  deriving (Eq, Ord, Show, Read, Generic)+deriving instance Functor (p (f a)) => Generic1 (Biff p f g a)++instance (Eq2 p, Eq1 f, Eq1 g, Eq a) => Eq1 (Biff p f g a) where+  liftEq = liftEq2 (==)+instance (Eq2 p, Eq1 f, Eq1 g) => Eq2 (Biff p f g) where+  liftEq2 f g (Biff x) (Biff y) = liftEq2 (liftEq f) (liftEq g) x y++instance (Ord2 p, Ord1 f, Ord1 g, Ord a) => Ord1 (Biff p f g a) where+  liftCompare = liftCompare2 compare+instance (Ord2 p, Ord1 f, Ord1 g) => Ord2 (Biff p f g) where+  liftCompare2 f g (Biff x) (Biff y) = liftCompare2 (liftCompare f) (liftCompare g) x y++instance (Read2 p, Read1 f, Read1 g, Read a) => Read1 (Biff p f g a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance (Read2 p, Read1 f, Read1 g) => Read2 (Biff p f g) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 p = readParen (p > 10) $ \s0 -> do+    ("Biff",    s1) <- lex s0+    ("{",       s2) <- lex s1+    ("runBiff", s3) <- lex s2+    (x,         s4) <- liftReadsPrec2 (liftReadsPrec rp1 rl1) (liftReadList rp1 rl1)+                                      (liftReadsPrec rp2 rl2) (liftReadList rp2 rl2) 0 s3+    ("}",       s5) <- lex s4+    return (Biff x, s5)++instance (Show2 p, Show1 f, Show1 g, Show a) => Show1 (Biff p f g a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance (Show2 p, Show1 f, Show1 g) => Show2 (Biff p f g) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (Biff x) = showParen (p > 10) $+      showString "Biff {runBiff = "+    . liftShowsPrec2 (liftShowsPrec sp1 sl1) (liftShowList sp1 sl1)+                     (liftShowsPrec sp2 sl2) (liftShowList sp2 sl2) 0 x+    . showChar '}'++instance (Bifunctor p, Functor f, Functor g) => Bifunctor (Biff p f g) where+  first f = Biff . first (fmap f) . runBiff+  {-# INLINE first #-}+  second f = Biff . second (fmap f) . runBiff+  {-# INLINE second #-}+  bimap f g = Biff . bimap (fmap f) (fmap g) . runBiff+  {-# INLINE bimap #-}++instance (Bifunctor p, Functor g) => Functor (Biff p f g a) where+  fmap f = Biff . second (fmap f) . runBiff+  {-# INLINE fmap #-}++instance (Biapplicative p, Applicative f, Applicative g) => Biapplicative (Biff p f g) where+  bipure a b = Biff (bipure (pure a) (pure b))+  {-# INLINE bipure #-}++  Biff fg <<*>> Biff xy = Biff (bimap (<*>) (<*>) fg <<*>> xy)+  {-# INLINE (<<*>>) #-}++instance (Bifoldable p, Foldable g) => Foldable (Biff p f g a) where+  foldMap f = bifoldMap (const mempty) (foldMap f) . runBiff+  {-# INLINE foldMap #-}++instance (Bifoldable p, Foldable f, Foldable g) => Bifoldable (Biff p f g) where+  bifoldMap f g = bifoldMap (foldMap f) (foldMap g) . runBiff+  {-# INLINE bifoldMap #-}++instance (Bifoldable1 p, Foldable1 f, Foldable1 g) => Bifoldable1 (Biff p f g) where+  bifoldMap1 f g = bifoldMap1 (foldMap1 f) (foldMap1 g) . runBiff+  {-# INLINE bifoldMap1 #-}++instance (Bitraversable p, Traversable g) => Traversable (Biff p f g a) where+  traverse f = fmap Biff . bitraverse pure (traverse f) . runBiff+  {-# INLINE traverse #-}++instance (Bitraversable p, Traversable f, Traversable g) => Bitraversable (Biff p f g) where+  bitraverse f g = fmap Biff . bitraverse (traverse f) (traverse g) . runBiff+  {-# INLINE bitraverse #-}++-- | @since 5.6.1+instance (f ~ g, Functor f, Swap p) => Swap (Biff p f g) where+  swap = Biff . swap . runBiff
+ src/Data/Bifunctor/Clown.hs view
@@ -0,0 +1,122 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE TypeFamilies #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+-- From the Functional Pearl \"Clowns to the Left of me, Jokers to the Right: Dissecting Data Structures\"+-- by Conor McBride.+----------------------------------------------------------------------------+module Data.Bifunctor.Clown+  ( Clown(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bitraversable+import Data.Foldable1 (Foldable1(..))+import Data.Functor.Classes+import GHC.Generics++-- | Make a 'Functor' over the first argument of a 'Bifunctor'.+--+-- Mnemonic: C__l__owns to the __l__eft (parameter of the Bifunctor),+--           joke__r__s to the __r__ight.+newtype Clown f a b = Clown { runClown :: f a }+  deriving (Eq, Ord, Show, Read, Generic, Generic1)++instance (Eq1 f, Eq a) => Eq1 (Clown f a) where+  liftEq = liftEq2 (==)+instance Eq1 f => Eq2 (Clown f) where+  liftEq2 f _ = eqClown (liftEq f)++instance (Ord1 f, Ord a) => Ord1 (Clown f a) where+  liftCompare = liftCompare2 compare+instance Ord1 f => Ord2 (Clown f) where+  liftCompare2 f _ = compareClown (liftCompare f)++instance (Read1 f, Read a) => Read1 (Clown f a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance Read1 f => Read2 (Clown f) where+  liftReadsPrec2 rp1 rl1 _ _ = readsPrecClown (liftReadsPrec rp1 rl1)++instance (Show1 f, Show a) => Show1 (Clown f a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance Show1 f => Show2 (Clown f) where+  liftShowsPrec2 sp1 sl1 _ _ = showsPrecClown (liftShowsPrec sp1 sl1)++eqClown :: (f a1 -> f a2 -> Bool)+        -> Clown f a1 b1 -> Clown f a2 b2 -> Bool+eqClown eqA (Clown x) (Clown y) = eqA x y++compareClown :: (f a1 -> f a2 -> Ordering)+             -> Clown f a1 b1 -> Clown f a2 b2 -> Ordering+compareClown compareA (Clown x) (Clown y) = compareA x y++readsPrecClown :: (Int -> ReadS (f a))+               -> Int -> ReadS (Clown f a b)+readsPrecClown rpA p =+  readParen (p > 10) $ \s0 -> do+    ("Clown",    s1) <- lex s0+    ("{",        s2) <- lex s1+    ("runClown", s3) <- lex s2+    (x,          s4) <- rpA 0 s3+    ("}",        s5) <- lex s4+    return (Clown x, s5)++showsPrecClown :: (Int -> f a -> ShowS)+               -> Int -> Clown f a b -> ShowS+showsPrecClown spA p (Clown x) =+  showParen (p > 10) $+      showString "Clown {runClown = "+    . spA 0 x+    . showChar '}'++instance Functor f => Bifunctor (Clown f) where+  first f = Clown . fmap f . runClown+  {-# INLINE first #-}+  second _ = Clown . runClown+  {-# INLINE second #-}+  bimap f _ = Clown . fmap f . runClown+  {-# INLINE bimap #-}++instance Functor (Clown f a) where+  fmap _ = Clown . runClown+  {-# INLINE fmap #-}++instance Applicative f => Biapplicative (Clown f) where+  bipure a _ = Clown (pure a)+  {-# INLINE bipure #-}++  Clown mf <<*>> Clown mx = Clown (mf <*> mx)+  {-# INLINE (<<*>>) #-}++instance Foldable f => Bifoldable (Clown f) where+  bifoldMap f _ = foldMap f . runClown+  {-# INLINE bifoldMap #-}++instance Foldable1 f => Bifoldable1 (Clown f) where+  bifoldMap1 f _ = foldMap1 f . runClown+  {-# INLINE bifoldMap1 #-}++instance Foldable (Clown f a) where+  foldMap _ = mempty+  {-# INLINE foldMap #-}++instance Traversable f => Bitraversable (Clown f) where+  bitraverse f _ = fmap Clown . traverse f . runClown+  {-# INLINE bitraverse #-}++instance Traversable (Clown f a) where+  traverse _ = pure . Clown . runClown+  {-# INLINE traverse #-}
+ src/Data/Bifunctor/Fix.hs view
@@ -0,0 +1,77 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE UndecidableInstances #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Bifunctor.Fix+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  non-portable+--+-----------------------------------------------------------------------------+module Data.Bifunctor.Fix+  ( Fix(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bitraversable+import Data.Functor.Classes+import GHC.Generics++-- | Greatest fixpoint of a 'Bifunctor' (a 'Functor' over the first argument with zipping).+newtype Fix p a = In { out :: p (Fix p a) a }+  deriving Generic++deriving instance Eq   (p (Fix p a) a) => Eq   (Fix p a)+deriving instance Ord  (p (Fix p a) a) => Ord  (Fix p a)+deriving instance Show (p (Fix p a) a) => Show (Fix p a)+deriving instance Read (p (Fix p a) a) => Read (Fix p a)++instance Eq2 p => Eq1 (Fix p) where+  liftEq f (In x) (In y) = liftEq2 (liftEq f) f x y++instance Ord2 p => Ord1 (Fix p) where+  liftCompare f (In x) (In y) = liftCompare2 (liftCompare f) f x y++instance Read2 p => Read1 (Fix p) where+  liftReadsPrec rp1 rl1 p = readParen (p > 10) $ \s0 -> do+    ("In",  s1) <- lex s0+    ("{",   s2) <- lex s1+    ("out", s3) <- lex s2+    (x,     s4) <- liftReadsPrec2 (liftReadsPrec rp1 rl1) (liftReadList rp1 rl1)+                                  rp1 rl1 0 s3+    ("}",   s5) <- lex s4+    return (In x, s5)++instance Show2 p => Show1 (Fix p) where+  liftShowsPrec sp1 sl1 p (In x) = showParen (p > 10) $+      showString "In {out = "+    . liftShowsPrec2 (liftShowsPrec sp1 sl1) (liftShowList sp1 sl1)+                     sp1 sl1 0 x+    . showChar '}'++instance Bifunctor p => Functor (Fix p) where+  fmap f (In p) = In (bimap (fmap f) f p)+  {-# INLINE fmap #-}++instance Biapplicative p => Applicative (Fix p) where+  pure a = In (bipure (pure a) a)+  {-# INLINE pure #-}+  In p <*> In q = In (biliftA2 (<*>) ($) p q)+  {-# INLINE (<*>) #-}++instance Bifoldable p => Foldable (Fix p) where+  foldMap f (In p) = bifoldMap (foldMap f) f p+  {-# INLINE foldMap #-}++instance Bitraversable p => Traversable (Fix p) where+  traverse f (In p) = In <$> bitraverse (traverse f) f p+  {-# INLINE traverse #-}
+ src/Data/Bifunctor/Flip.hs view
@@ -0,0 +1,112 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Data.Bifunctor.Flip+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Flip+  ( Flip(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bifunctor.Functor+import Data.Bifunctor.Swap (Swap (..))+import Data.Bifunctor.Assoc (Assoc (..))+import Data.Bitraversable+import Data.Functor.Classes+import GHC.Generics++-- | Make a 'Bifunctor' flipping the arguments of a 'Bifunctor'.+newtype Flip p a b = Flip { runFlip :: p b a }+  deriving (Eq, Ord, Show, Read, Generic)++instance (Eq2 p, Eq a) => Eq1 (Flip p a) where+  liftEq = liftEq2 (==)+instance Eq2 p => Eq2 (Flip p) where+  liftEq2 f g (Flip x) (Flip y) = liftEq2 g f x y++instance (Ord2 p, Ord a) => Ord1 (Flip p a) where+  liftCompare = liftCompare2 compare+instance Ord2 p => Ord2 (Flip p) where+  liftCompare2 f g (Flip x) (Flip y) = liftCompare2 g f x y++instance (Read2 p, Read a) => Read1 (Flip p a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance Read2 p => Read2 (Flip p) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 p = readParen (p > 10) $ \s0 -> do+    ("Flip",    s1) <- lex s0+    ("{",       s2) <- lex s1+    ("runFlip", s3) <- lex s2+    (x,         s4) <- liftReadsPrec2 rp2 rl2 rp1 rl1 0 s3+    ("}",       s5) <- lex s4+    return (Flip x, s5)++instance (Show2 p, Show a) => Show1 (Flip p a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance Show2 p => Show2 (Flip p) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (Flip x) = showParen (p > 10) $+      showString "Flip {runFlip = "+    . liftShowsPrec2 sp2 sl2 sp1 sl1 0 x+    . showChar '}'++instance Bifunctor p => Bifunctor (Flip p) where+  first f = Flip . second f . runFlip+  {-# INLINE first #-}+  second f = Flip . first f . runFlip+  {-# INLINE second #-}+  bimap f g = Flip . bimap g f . runFlip+  {-# INLINE bimap #-}++instance Bifunctor p => Functor (Flip p a) where+  fmap f = Flip . first f . runFlip+  {-# INLINE fmap #-}++instance Biapplicative p => Biapplicative (Flip p) where+  bipure a b = Flip (bipure b a)+  {-# INLINE bipure #-}++  Flip fg <<*>> Flip xy = Flip (fg <<*>> xy)+  {-# INLINE (<<*>>) #-}++instance Bifoldable p => Bifoldable (Flip p) where+  bifoldMap f g = bifoldMap g f . runFlip+  {-# INLINE bifoldMap #-}++instance Bifoldable1 p => Bifoldable1 (Flip p) where+  bifoldMap1 f g = bifoldMap1 g f . runFlip+  {-# INLINE bifoldMap1 #-}++instance Bifoldable p => Foldable (Flip p a) where+  foldMap f = bifoldMap f (const mempty) . runFlip+  {-# INLINE foldMap #-}++instance Bitraversable p => Bitraversable (Flip p) where+  bitraverse f g = fmap Flip . bitraverse g f . runFlip+  {-# INLINE bitraverse #-}++instance Bitraversable p => Traversable (Flip p a) where+  traverse f = fmap Flip . bitraverse f pure . runFlip+  {-# INLINE traverse #-}++instance BifunctorFunctor Flip where+  bifmap f (Flip p) = Flip (f p)++-- | @since 5.6.1+instance Assoc p => Assoc (Flip p) where+    assoc   = Flip . first Flip . unassoc . second runFlip . runFlip+    unassoc = Flip . second Flip . assoc . first runFlip . runFlip++-- | @since 5.6.1+instance Swap p => Swap (Flip p) where+    swap = Flip . swap . runFlip
+ src/Data/Bifunctor/Functor.hs view
@@ -0,0 +1,44 @@+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE RankNTypes #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE TypeOperators #-}++module Data.Bifunctor.Functor+  ( (:->)+  , BifunctorFunctor(..)+  , BifunctorMonad(..)+  , biliftM+  , BifunctorComonad(..)+  , biliftW+  ) where++-- | Using parametricity as an approximation of a natural transformation in two arguments.+type (:->) p q = forall a b. p a b -> q a b+infixr 0 :->++class BifunctorFunctor t where+  bifmap :: (p :-> q) -> t p :-> t q++class BifunctorFunctor t => BifunctorMonad t where+  bireturn :: p :-> t p+  bibind   :: (p :-> t q) -> t p :-> t q+  bibind f = bijoin . bifmap f+  bijoin   :: t (t p) :-> t p+  bijoin = bibind id+  {-# MINIMAL bireturn, (bibind | bijoin) #-}++biliftM :: BifunctorMonad t => (p :-> q) -> t p :-> t q+biliftM f = bibind (bireturn . f)+{-# INLINE biliftM #-}++class BifunctorFunctor t => BifunctorComonad t where+  biextract :: t p :-> p+  biextend :: (t p :-> q) -> t p :-> t q+  biextend f = bifmap f . biduplicate+  biduplicate :: t p :-> t (t p)+  biduplicate =  biextend id+  {-# MINIMAL biextract, (biextend | biduplicate) #-}++biliftW :: BifunctorComonad t => (p :-> q) -> t p :-> t q+biliftW f = biextend (f . biextract)+{-# INLINE biliftW #-}
+ src/Data/Bifunctor/Join.hs view
@@ -0,0 +1,86 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE UndecidableInstances #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  non-portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Join+  ( Join(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bitraversable+import Data.Foldable1 (Foldable1(..))+import Data.Functor.Classes+import GHC.Generics++-- | Make a 'Functor' over both arguments of a 'Bifunctor'.+newtype Join p a = Join { runJoin :: p a a }+  deriving Generic++deriving instance Eq   (p a a) => Eq   (Join p a)+deriving instance Ord  (p a a) => Ord  (Join p a)+deriving instance Show (p a a) => Show (Join p a)+deriving instance Read (p a a) => Read (Join p a)++instance Eq2 p => Eq1 (Join p) where+  liftEq f (Join x) (Join y) = liftEq2 f f x y++instance Ord2 p => Ord1 (Join p) where+  liftCompare f (Join x) (Join y) = liftCompare2 f f x y++instance Read2 p => Read1 (Join p) where+  liftReadsPrec rp1 rl1 p = readParen (p > 10) $ \s0 -> do+    ("Join",    s1) <- lex s0+    ("{",       s2) <- lex s1+    ("runJoin", s3) <- lex s2+    (x,         s4) <- liftReadsPrec2 rp1 rl1 rp1 rl1 0 s3+    ("}",       s5) <- lex s4+    return (Join x, s5)++instance Show2 p => Show1 (Join p) where+  liftShowsPrec sp1 sl1 p (Join x) = showParen (p > 10) $+      showString "Join {runJoin = "+    . liftShowsPrec2 sp1 sl1 sp1 sl1 0 x+    . showChar '}'++instance Bifunctor p => Functor (Join p) where+  fmap f (Join a) = Join (bimap f f a)+  {-# INLINE fmap #-}++instance Biapplicative p => Applicative (Join p) where+  pure a = Join (bipure a a)+  {-# INLINE pure #-}+  Join f <*> Join a = Join (f <<*>> a)+  {-# INLINE (<*>) #-}+  Join a *> Join b = Join (a *>> b)+  {-# INLINE (*>) #-}+  Join a <* Join b = Join (a <<* b)+  {-# INLINE (<*) #-}++instance Bifoldable p => Foldable (Join p) where+  foldMap f (Join a) = bifoldMap f f a+  {-# INLINE foldMap #-}++instance Bifoldable1 p => Foldable1 (Join p) where+  foldMap1 f (Join a) = bifoldMap1 f f a+  {-# INLINE foldMap1 #-}++instance Bitraversable p => Traversable (Join p) where+  traverse f (Join a) = fmap Join (bitraverse f f a)+  {-# INLINE traverse #-}+  sequenceA (Join a) = fmap Join (bisequenceA a)+  {-# INLINE sequenceA #-}
+ src/Data/Bifunctor/Joker.hs view
@@ -0,0 +1,126 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE TypeFamilies #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+-- From the Functional Pearl \"Clowns to the Left of me, Jokers to the Right: Dissecting Data Structures\"+-- by Conor McBride.+----------------------------------------------------------------------------+module Data.Bifunctor.Joker+  ( Joker(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bitraversable+import Data.Foldable1 (Foldable1(..))+import Data.Functor.Classes+import GHC.Generics++-- | Make a 'Functor' over the second argument of a 'Bifunctor'.+--+-- Mnemonic: C__l__owns to the __l__eft (parameter of the Bifunctor),+--           joke__r__s to the __r__ight.+newtype Joker g a b = Joker { runJoker :: g b }+  deriving (Eq, Ord, Show, Read, Generic, Generic1)++instance Eq1 g => Eq1 (Joker g a) where+  liftEq g = eqJoker (liftEq g)+instance Eq1 g => Eq2 (Joker g) where+  liftEq2 _ g = eqJoker (liftEq g)++instance Ord1 g => Ord1 (Joker g a) where+  liftCompare g = compareJoker (liftCompare g)+instance Ord1 g => Ord2 (Joker g) where+  liftCompare2 _ g = compareJoker (liftCompare g)++instance Read1 g => Read1 (Joker g a) where+  liftReadsPrec rp rl = readsPrecJoker (liftReadsPrec rp rl)+instance Read1 g => Read2 (Joker g) where+  liftReadsPrec2 _ _ rp2 rl2 = readsPrecJoker (liftReadsPrec rp2 rl2)++instance Show1 g => Show1 (Joker g a) where+  liftShowsPrec sp sl = showsPrecJoker (liftShowsPrec sp sl)+instance Show1 g => Show2 (Joker g) where+  liftShowsPrec2 _ _ sp2 sl2 = showsPrecJoker (liftShowsPrec sp2 sl2)++eqJoker :: (g b1 -> g b2 -> Bool)+        -> Joker g a1 b1 -> Joker g a2 b2 -> Bool+eqJoker eqB (Joker x) (Joker y) = eqB x y++compareJoker :: (g b1 -> g b2 -> Ordering)+             -> Joker g a1 b1 -> Joker g a2 b2 -> Ordering+compareJoker compareB (Joker x) (Joker y) = compareB x y++readsPrecJoker :: (Int -> ReadS (g b))+               -> Int -> ReadS (Joker g a b)+readsPrecJoker rpB p =+  readParen (p > 10) $ \s0 -> do+    ("Joker",    s1) <- lex s0+    ("{",        s2) <- lex s1+    ("runJoker", s3) <- lex s2+    (x,          s4) <- rpB 0 s3+    ("}",        s5) <- lex s4+    return (Joker x, s5)++showsPrecJoker :: (Int -> g b -> ShowS)+               -> Int -> Joker g a b -> ShowS+showsPrecJoker spB p (Joker x) =+  showParen (p > 10) $+      showString "Joker {runJoker = "+    . spB 0 x+    . showChar '}'++instance Functor g => Bifunctor (Joker g) where+  first _ = Joker . runJoker+  {-# INLINE first #-}+  second g = Joker . fmap g . runJoker+  {-# INLINE second #-}+  bimap _ g = Joker . fmap g . runJoker+  {-# INLINE bimap #-}++instance Functor g => Functor (Joker g a) where+  fmap g = Joker . fmap g . runJoker+  {-# INLINE fmap #-}++instance Applicative g => Biapplicative (Joker g) where+  bipure _ b = Joker (pure b)+  {-# INLINE bipure #-}++  Joker mf <<*>> Joker mx = Joker (mf <*> mx)+  {-# INLINE (<<*>>) #-}++instance Foldable g => Bifoldable (Joker g) where+  bifoldMap _ g = foldMap g . runJoker+  {-# INLINE bifoldMap #-}++instance Foldable1 g => Bifoldable1 (Joker g) where+  bifoldMap1 _ g = foldMap1 g . runJoker+  {-# INLINE bifoldMap1 #-}++instance Foldable g => Foldable (Joker g a) where+  foldMap g = foldMap g . runJoker+  {-# INLINE foldMap #-}++instance Foldable1 g => Foldable1 (Joker g a) where+  foldMap1 g = foldMap1 g . runJoker+  {-# INLINE foldMap1 #-}++instance Traversable g => Bitraversable (Joker g) where+  bitraverse _ g = fmap Joker . traverse g . runJoker+  {-# INLINE bitraverse #-}++instance Traversable g => Traversable (Joker g a) where+  traverse g = fmap Joker . traverse g . runJoker+  {-# INLINE traverse #-}
+ src/Data/Bifunctor/Product.hs view
@@ -0,0 +1,138 @@+{-# LANGUAGE DeriveFoldable #-}+{-# LANGUAGE DeriveFunctor #-}+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE DeriveTraversable #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TypeFamilies #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Jesse Selover, Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+-- The product of two bifunctors.+----------------------------------------------------------------------------+module Data.Bifunctor.Product+  ( Product(..)+  ) where++import qualified Control.Arrow as A+import Control.Category+import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bifunctor.Functor+import Data.Bifunctor.Swap (Swap (..))+import Data.Bitraversable+import Data.Functor.Classes+import qualified Data.Semigroup as S+import GHC.Generics++import Prelude hiding ((.),id)++-- | Form the product of two bifunctors+data Product f g a b = Pair (f a b) (g a b)+  deriving (Eq, Ord, Show, Read, Generic, Generic1)+deriving instance (Functor (f a), Functor (g a)) => Functor (Product f g a)+deriving instance (Foldable (f a), Foldable (g a)) => Foldable (Product f g a)+deriving instance (Traversable (f a), Traversable (g a)) => Traversable (Product f g a)++instance (Eq2 f, Eq2 g, Eq a) => Eq1 (Product f g a) where+  liftEq = liftEq2 (==)+instance (Eq2 f, Eq2 g) => Eq2 (Product f g) where+  liftEq2 f g (Pair x1 y1) (Pair x2 y2) =+    liftEq2 f g x1 x2 && liftEq2 f g y1 y2++instance (Ord2 f, Ord2 g, Ord a) => Ord1 (Product f g a) where+  liftCompare = liftCompare2 compare+instance (Ord2 f, Ord2 g) => Ord2 (Product f g) where+  liftCompare2 f g (Pair x1 y1) (Pair x2 y2) =+    liftCompare2 f g x1 x2 `mappend` liftCompare2 f g y1 y2++instance (Read2 f, Read2 g, Read a) => Read1 (Product f g a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance (Read2 f, Read2 g) => Read2 (Product f g) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 = readsData $+    readsBinaryWith (liftReadsPrec2 rp1 rl1 rp2 rl2)+                    (liftReadsPrec2 rp1 rl1 rp2 rl2)+                    "Pair" Pair++instance (Show2 f, Show2 g, Show a) => Show1 (Product f g a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance (Show2 f, Show2 g) => Show2 (Product f g) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (Pair x y) =+    showsBinaryWith (liftShowsPrec2 sp1 sl1 sp2 sl2)+                    (liftShowsPrec2 sp1 sl1 sp2 sl2)+                    "Pair" p x y++instance (Bifunctor f, Bifunctor g) => Bifunctor (Product f g) where+  first f (Pair x y) = Pair (first f x) (first f y)+  {-# INLINE first #-}+  second g (Pair x y) = Pair (second g x) (second g y)+  {-# INLINE second #-}+  bimap f g (Pair x y) = Pair (bimap f g x) (bimap f g y)+  {-# INLINE bimap #-}++instance (Biapplicative f, Biapplicative g) => Biapplicative (Product f g) where+  bipure a b = Pair (bipure a b) (bipure a b)+  {-# INLINE bipure #-}+  Pair w x <<*>> Pair y z = Pair (w <<*>> y) (x <<*>> z)+  {-# INLINE (<<*>>) #-}++instance (Bifoldable f, Bifoldable g) => Bifoldable (Product f g) where+  bifoldMap f g (Pair x y) = bifoldMap f g x `mappend` bifoldMap f g y+  {-# INLINE bifoldMap #-}++instance (Bifoldable1 f, Bifoldable1 g) => Bifoldable1 (Product f g) where+  bifoldMap1 f g (Pair x y) = bifoldMap1 f g x S.<> bifoldMap1 f g y+  {-# INLINE bifoldMap1 #-}++instance (Bitraversable f, Bitraversable g) => Bitraversable (Product f g) where+  bitraverse f g (Pair x y) = Pair <$> bitraverse f g x <*> bitraverse f g y+  {-# INLINE bitraverse #-}++instance BifunctorFunctor (Product p) where+  bifmap f (Pair p q) = Pair p (f q)++instance BifunctorComonad (Product p) where+  biextract (Pair _ q) = q+  biduplicate pq@(Pair p _) = Pair p pq+  biextend f pq@(Pair p _) = Pair p (f pq)++instance (Category p, Category q) => Category (Product p q) where+  id = Pair id id+  Pair x y . Pair x' y' = Pair (x . x') (y . y')++instance (A.Arrow p, A.Arrow q) => A.Arrow (Product p q) where+  arr f = Pair (A.arr f) (A.arr f)+  first (Pair x y) = Pair (A.first x) (A.first y)+  second (Pair x y) = Pair (A.second x) (A.second y)+  Pair x y *** Pair x' y' = Pair (x A.*** x') (y A.*** y')+  Pair x y &&& Pair x' y' = Pair (x A.&&& x') (y A.&&& y')++instance (A.ArrowChoice p, A.ArrowChoice q) => A.ArrowChoice (Product p q) where+  left (Pair x y) = Pair (A.left x) (A.left y)+  right (Pair x y) = Pair (A.right x) (A.right y)+  Pair x y +++ Pair x' y' = Pair (x A.+++ x') (y A.+++ y')+  Pair x y ||| Pair x' y' = Pair (x A.||| x') (y A.||| y')++instance (A.ArrowLoop p, A.ArrowLoop q) => A.ArrowLoop (Product p q) where+  loop (Pair x y) = Pair (A.loop x) (A.loop y)++instance (A.ArrowZero p, A.ArrowZero q) => A.ArrowZero (Product p q) where+  zeroArrow = Pair A.zeroArrow A.zeroArrow++instance (A.ArrowPlus p, A.ArrowPlus q) => A.ArrowPlus (Product p q) where+  Pair x y <+> Pair x' y' = Pair (x A.<+> x') (y A.<+> y')++-- | @since 5.6.1+instance (Swap p, Swap q) => Swap (Product p q) where+    swap (Pair p q) = Pair (swap p) (swap q)
+ src/Data/Bifunctor/Sum.hs view
@@ -0,0 +1,89 @@+{-# LANGUAGE DeriveFoldable #-}+{-# LANGUAGE DeriveFunctor #-}+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE DeriveTraversable #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TypeFamilies #-}++module Data.Bifunctor.Sum where++import Data.Bifunctor+import Data.Bifunctor.Functor+import Data.Bifunctor.Swap (Swap (..))+import Data.Bifoldable+import Data.Bitraversable+import Data.Functor.Classes+import GHC.Generics++data Sum p q a b = L2 (p a b) | R2 (q a b)+  deriving (Eq, Ord, Show, Read, Generic, Generic1)+deriving instance (Functor (f a), Functor (g a)) => Functor (Sum f g a)+deriving instance (Foldable (f a), Foldable (g a)) => Foldable (Sum f g a)+deriving instance (Traversable (f a), Traversable (g a)) => Traversable (Sum f g a)++instance (Eq2 f, Eq2 g, Eq a) => Eq1 (Sum f g a) where+  liftEq = liftEq2 (==)+instance (Eq2 f, Eq2 g) => Eq2 (Sum f g) where+  liftEq2 f g (L2 x1) (L2 x2) = liftEq2 f g x1 x2+  liftEq2 _ _ (L2 _)  (R2 _)  = False+  liftEq2 _ _ (R2 _)  (L2 _)  = False+  liftEq2 f g (R2 y1) (R2 y2) = liftEq2 f g y1 y2++instance (Ord2 f, Ord2 g, Ord a) => Ord1 (Sum f g a) where+  liftCompare = liftCompare2 compare+instance (Ord2 f, Ord2 g) => Ord2 (Sum f g) where+  liftCompare2 f g (L2 x1) (L2 x2) = liftCompare2 f g x1 x2+  liftCompare2 _ _ (L2 _)  (R2 _)  = LT+  liftCompare2 _ _ (R2 _)  (L2 _)  = GT+  liftCompare2 f g (R2 y1) (R2 y2) = liftCompare2 f g y1 y2++instance (Read2 f, Read2 g, Read a) => Read1 (Sum f g a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance (Read2 f, Read2 g) => Read2 (Sum f g) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 = readsData $+    readsUnaryWith (liftReadsPrec2 rp1 rl1 rp2 rl2) "L2" L2 `mappend`+    readsUnaryWith (liftReadsPrec2 rp1 rl1 rp2 rl2) "R2" R2++instance (Show2 f, Show2 g, Show a) => Show1 (Sum f g a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance (Show2 f, Show2 g) => Show2 (Sum f g) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (L2 x) =+    showsUnaryWith (liftShowsPrec2 sp1 sl1 sp2 sl2) "L2" p x+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (R2 y) =+    showsUnaryWith (liftShowsPrec2 sp1 sl1 sp2 sl2) "R2" p y++instance (Bifunctor p, Bifunctor q) => Bifunctor (Sum p q) where+  bimap f g (L2 p) = L2 (bimap f g p)+  bimap f g (R2 q) = R2 (bimap f g q)+  first f (L2 p) = L2 (first f p)+  first f (R2 q) = R2 (first f q)+  second f (L2 p) = L2 (second f p)+  second f (R2 q) = R2 (second f q)++instance (Bifoldable p, Bifoldable q) => Bifoldable (Sum p q) where+  bifoldMap f g (L2 p) = bifoldMap f g p+  bifoldMap f g (R2 q) = bifoldMap f g q++instance (Bitraversable p, Bitraversable q) => Bitraversable (Sum p q) where+  bitraverse f g (L2 p) = L2 <$> bitraverse f g p+  bitraverse f g (R2 q) = R2 <$> bitraverse f g q++instance BifunctorFunctor (Sum p) where+  bifmap _ (L2 p) = L2 p+  bifmap f (R2 q) = R2 (f q)++instance BifunctorMonad (Sum p) where+  bireturn = R2+  bijoin (L2 p) = L2 p+  bijoin (R2 q) = q+  bibind _ (L2 p) = L2 p+  bibind f (R2 q) = f q++-- | @since 5.6.1+instance (Swap p, Swap q) => Swap (Sum p q) where+  swap (L2 p) = L2 (swap p)+  swap (R2 q) = R2 (swap q)
+ src/Data/Bifunctor/TH.hs view
@@ -0,0 +1,1308 @@+{-# LANGUAGE CPP #-}+{-# LANGUAGE BangPatterns #-}+{-# LANGUAGE PatternGuards #-}+{-# LANGUAGE ScopedTypeVariables #-}+{-# LANGUAGE Unsafe #-}+-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett, (C) 2015-2016 Ryan Scott+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+-- Functions to mechanically derive 'Bifunctor', 'Bifoldable',+-- or 'Bitraversable' instances, or to splice their functions directly into+-- source code. You need to enable the @TemplateHaskell@ language extension+-- in order to use this module.+----------------------------------------------------------------------------++module Data.Bifunctor.TH (+    -- * @derive@- functions+    -- $derive+    -- * @make@- functions+    -- $make+    -- * 'Bifunctor'+    deriveBifunctor+  , deriveBifunctorOptions+  , makeBimap+  , makeBimapOptions+    -- * 'Bifoldable'+  , deriveBifoldable+  , deriveBifoldableOptions+  , makeBifold+  , makeBifoldOptions+  , makeBifoldMap+  , makeBifoldMapOptions+  , makeBifoldr+  , makeBifoldrOptions+  , makeBifoldl+  , makeBifoldlOptions+    -- * 'Bitraversable'+  , deriveBitraversable+  , deriveBitraversableOptions+  , makeBitraverse+  , makeBitraverseOptions+  , makeBisequenceA+  , makeBisequenceAOptions+  , makeBimapM+  , makeBimapMOptions+  , makeBisequence+  , makeBisequenceOptions+    -- * 'Options'+  , Options(..)+  , defaultOptions+  ) where++import           Control.Monad (guard, unless, when)++import           Data.Bifunctor.TH.Internal+import qualified Data.List as List+import qualified Data.Map as Map ((!), fromList, keys, lookup, member, size)+import           Data.Maybe++import           Language.Haskell.TH.Datatype as Datatype+import           Language.Haskell.TH.Datatype.TyVarBndr+import           Language.Haskell.TH.Lib+import           Language.Haskell.TH.Ppr+import           Language.Haskell.TH.Syntax++-------------------------------------------------------------------------------+-- User-facing API+-------------------------------------------------------------------------------++-- | Options that further configure how the functions in "Data.Bifunctor.TH"+-- should behave.+newtype Options = Options+  { emptyCaseBehavior :: Bool+    -- ^ If 'True', derived instances for empty data types (i.e., ones with+    --   no data constructors) will use the @EmptyCase@ language extension.+    --   If 'False', derived instances will simply use 'seq' instead.+  } deriving (Eq, Ord, Read, Show)++-- | Conservative 'Options' that doesn't attempt to use @EmptyCase@ (to+-- prevent users from having to enable that extension at use sites.)+defaultOptions :: Options+defaultOptions = Options { emptyCaseBehavior = False }++{- $derive++'deriveBifunctor', 'deriveBifoldable', and 'deriveBitraversable' automatically+generate their respective class instances for a given data type, newtype, or data+family instance that has at least two type variable. Examples:++@+&#123;-&#35; LANGUAGE TemplateHaskell &#35;-&#125;+import Data.Bifunctor.TH++data Pair a b = Pair a b+$('deriveBifunctor' ''Pair) -- instance Bifunctor Pair where ...++data WrapLeftPair f g a b = WrapLeftPair (f a) (g a b)+$('deriveBifoldable' ''WrapLeftPair)+-- instance (Foldable f, Bifoldable g) => Bifoldable (WrapLeftPair f g) where ...+@++If you are using @template-haskell-2.7.0.0@ or later (i.e., GHC 7.4 or later),+the @derive@ functions can be used data family instances (which requires the+@-XTypeFamilies@ extension). To do so, pass the name of a data or newtype instance+constructor (NOT a data family name!) to a @derive@ function.  Note that the+generated code may require the @-XFlexibleInstances@ extension. Example:++@+&#123;-&#35; LANGUAGE FlexibleInstances, TemplateHaskell, TypeFamilies &#35;-&#125;+import Data.Bifunctor.TH++class AssocClass a b c where+    data AssocData a b c+instance AssocClass Int b c where+    data AssocData Int b c = AssocDataInt1 Int | AssocDataInt2 b c+$('deriveBitraversable' 'AssocDataInt1) -- instance Bitraversable (AssocData Int) where ...+-- Alternatively, one could use $(deriveBitraversable 'AssocDataInt2)+@++Note that there are some limitations:++* The 'Name' argument to a @derive@ function must not be a type synonym.++* With a @derive@ function, the last two type variables must both be of kind @*@.+  Other type variables of kind @* -> *@ are assumed to require a 'Functor',+  'Foldable', or 'Traversable' constraint (depending on which @derive@ function is+  used), and other type variables of kind @* -> * -> *@ are assumed to require an+  'Bifunctor', 'Bifoldable', or 'Bitraversable' constraint. If your data type+  doesn't meet these assumptions, use a @make@ function.++* If using the @-XDatatypeContexts@, @-XExistentialQuantification@, or @-XGADTs@+  extensions, a constraint cannot mention either of the last two type variables. For+  example, @data Illegal2 a b where I2 :: Ord a => a -> b -> Illegal2 a b@ cannot+  have a derived 'Bifunctor' instance.++* If either of the last two type variables is used within a constructor argument's+  type, it must only be used in the last two type arguments. For example,+  @data Legal a b = Legal (Int, Int, a, b)@ can have a derived 'Bifunctor' instance,+  but @data Illegal a b = Illegal (a, b, a, b)@ cannot.++* Data family instances must be able to eta-reduce the last two type variables. In other+  words, if you have a instance of the form:++  @+  data family Family a1 ... an t1 t2+  data instance Family e1 ... e2 v1 v2 = ...+  @++  Then the following conditions must hold:++  1. @v1@ and @v2@ must be distinct type variables.+  2. Neither @v1@ not @v2@ must be mentioned in any of @e1@, ..., @e2@.++-}++{- $make++There may be scenarios in which you want to, say, 'bimap' over an arbitrary data type+or data family instance without having to make the type an instance of 'Bifunctor'. For+these cases, this module provides several functions (all prefixed with @make@-) that+splice the appropriate lambda expression into your source code.++This is particularly useful for creating instances for sophisticated data types. For+example, 'deriveBifunctor' cannot infer the correct type context for+@newtype HigherKinded f a b c = HigherKinded (f a b c)@, since @f@ is of kind+@* -> * -> * -> *@. However, it is still possible to create a 'Bifunctor' instance for+@HigherKinded@ without too much trouble using 'makeBimap':++@+&#123;-&#35; LANGUAGE FlexibleContexts, TemplateHaskell &#35;-&#125;+import Data.Bifunctor+import Data.Bifunctor.TH++newtype HigherKinded f a b c = HigherKinded (f a b c)++instance Bifunctor (f a) => Bifunctor (HigherKinded f a) where+    bimap = $(makeBimap ''HigherKinded)+@++-}++-- | Generates a 'Bifunctor' instance declaration for the given data type or data+-- family instance.+deriveBifunctor :: Name -> Q [Dec]+deriveBifunctor = deriveBifunctorOptions defaultOptions++-- | Like 'deriveBifunctor', but takes an 'Options' argument.+deriveBifunctorOptions :: Options -> Name -> Q [Dec]+deriveBifunctorOptions = deriveBiClass Bifunctor++-- | Generates a lambda expression which behaves like 'bimap' (without requiring a+-- 'Bifunctor' instance).+makeBimap :: Name -> Q Exp+makeBimap = makeBimapOptions defaultOptions++-- | Like 'makeBimap', but takes an 'Options' argument.+makeBimapOptions :: Options -> Name -> Q Exp+makeBimapOptions = makeBiFun Bimap++-- | Generates a 'Bifoldable' instance declaration for the given data type or data+-- family instance.+deriveBifoldable :: Name -> Q [Dec]+deriveBifoldable = deriveBifoldableOptions defaultOptions++-- | Like 'deriveBifoldable', but takes an 'Options' argument.+deriveBifoldableOptions :: Options -> Name -> Q [Dec]+deriveBifoldableOptions = deriveBiClass Bifoldable++--- | Generates a lambda expression which behaves like 'bifold' (without requiring a+-- 'Bifoldable' instance).+makeBifold :: Name -> Q Exp+makeBifold = makeBifoldOptions defaultOptions++-- | Like 'makeBifold', but takes an 'Options' argument.+makeBifoldOptions :: Options -> Name -> Q Exp+makeBifoldOptions opts name = appsE [ makeBifoldMapOptions opts name+                                    , varE idValName+                                    , varE idValName+                                    ]++-- | Generates a lambda expression which behaves like 'bifoldMap' (without requiring+-- a 'Bifoldable' instance).+makeBifoldMap :: Name -> Q Exp+makeBifoldMap = makeBifoldMapOptions defaultOptions++-- | Like 'makeBifoldMap', but takes an 'Options' argument.+makeBifoldMapOptions :: Options -> Name -> Q Exp+makeBifoldMapOptions = makeBiFun BifoldMap++-- | Generates a lambda expression which behaves like 'bifoldr' (without requiring a+-- 'Bifoldable' instance).+makeBifoldr :: Name -> Q Exp+makeBifoldr = makeBifoldrOptions defaultOptions++-- | Like 'makeBifoldr', but takes an 'Options' argument.+makeBifoldrOptions :: Options -> Name -> Q Exp+makeBifoldrOptions = makeBiFun Bifoldr++-- | Generates a lambda expression which behaves like 'bifoldl' (without requiring a+-- 'Bifoldable' instance).+makeBifoldl :: Name -> Q Exp+makeBifoldl = makeBifoldlOptions defaultOptions++-- | Like 'makeBifoldl', but takes an 'Options' argument.+makeBifoldlOptions :: Options -> Name -> Q Exp+makeBifoldlOptions opts name = do+  f <- newName "f"+  g <- newName "g"+  z <- newName "z"+  t <- newName "t"+  lamE [varP f, varP g, varP z, varP t] $+    appsE [ varE appEndoValName+          , appsE [ varE getDualValName+                  , appsE [ makeBifoldMapOptions opts name+                          , foldFun f+                          , foldFun g+                          , varE t]+                  ]+          , varE z+          ]+  where+    foldFun :: Name -> Q Exp+    foldFun n = infixApp (conE dualDataName)+                         (varE composeValName)+                         (infixApp (conE endoDataName)+                                   (varE composeValName)+                                   (varE flipValName `appE` varE n)+                         )++-- | Generates a 'Bitraversable' instance declaration for the given data type or data+-- family instance.+deriveBitraversable :: Name -> Q [Dec]+deriveBitraversable = deriveBitraversableOptions defaultOptions++-- | Like 'deriveBitraversable', but takes an 'Options' argument.+deriveBitraversableOptions :: Options -> Name -> Q [Dec]+deriveBitraversableOptions = deriveBiClass Bitraversable++-- | Generates a lambda expression which behaves like 'bitraverse' (without+-- requiring a 'Bitraversable' instance).+makeBitraverse :: Name -> Q Exp+makeBitraverse = makeBitraverseOptions defaultOptions++-- | Like 'makeBitraverse', but takes an 'Options' argument.+makeBitraverseOptions :: Options -> Name -> Q Exp+makeBitraverseOptions = makeBiFun Bitraverse++-- | Generates a lambda expression which behaves like 'bisequenceA' (without+-- requiring a 'Bitraversable' instance).+makeBisequenceA :: Name -> Q Exp+makeBisequenceA = makeBisequenceAOptions defaultOptions++-- | Like 'makeBitraverseA', but takes an 'Options' argument.+makeBisequenceAOptions :: Options -> Name -> Q Exp+makeBisequenceAOptions opts name = appsE [ makeBitraverseOptions opts name+                                         , varE idValName+                                         , varE idValName+                                         ]++-- | Generates a lambda expression which behaves like 'bimapM' (without+-- requiring a 'Bitraversable' instance).+makeBimapM :: Name -> Q Exp+makeBimapM = makeBimapMOptions defaultOptions++-- | Like 'makeBimapM', but takes an 'Options' argument.+makeBimapMOptions :: Options -> Name -> Q Exp+makeBimapMOptions opts name = do+  f <- newName "f"+  g <- newName "g"+  lamE [varP f, varP g] . infixApp (varE unwrapMonadValName) (varE composeValName) $+                          appsE [ makeBitraverseOptions opts name+                                , wrapMonadExp f+                                , wrapMonadExp g+                                ]+  where+    wrapMonadExp :: Name -> Q Exp+    wrapMonadExp n = infixApp (conE wrapMonadDataName) (varE composeValName) (varE n)++-- | Generates a lambda expression which behaves like 'bisequence' (without+-- requiring a 'Bitraversable' instance).+makeBisequence :: Name -> Q Exp+makeBisequence = makeBisequenceOptions defaultOptions++-- | Like 'makeBisequence', but takes an 'Options' argument.+makeBisequenceOptions :: Options -> Name -> Q Exp+makeBisequenceOptions opts name = appsE [ makeBimapMOptions opts name+                                        , varE idValName+                                        , varE idValName+                                        ]++-------------------------------------------------------------------------------+-- Code generation+-------------------------------------------------------------------------------++-- | Derive a class instance declaration (depending on the BiClass argument's value).+deriveBiClass :: BiClass -> Options -> Name -> Q [Dec]+deriveBiClass biClass opts name = do+  info <- reifyDatatype name+  case info of+    DatatypeInfo { datatypeContext   = ctxt+                 , datatypeName      = parentName+                 , datatypeInstTypes = instTys+                 , datatypeVariant   = variant+                 , datatypeCons      = cons+                 } -> do+      (instanceCxt, instanceType)+          <- buildTypeInstance biClass parentName ctxt instTys variant+      (:[]) `fmap` instanceD (return instanceCxt)+                             (return instanceType)+                             (biFunDecs biClass opts parentName instTys cons)++-- | Generates a declaration defining the primary function(s) corresponding to a+-- particular class (bimap for Bifunctor, bifoldr and bifoldMap for Bifoldable, and+-- bitraverse for Bitraversable).+--+-- For why both bifoldr and bifoldMap are derived for Bifoldable, see Trac #7436.+biFunDecs :: BiClass -> Options -> Name -> [Type] -> [ConstructorInfo] -> [Q Dec]+biFunDecs biClass opts parentName instTys cons =+  map makeFunD $ biClassToFuns biClass+  where+    makeFunD :: BiFun -> Q Dec+    makeFunD biFun =+      funD (biFunName biFun)+           [ clause []+                    (normalB $ makeBiFunForCons biFun opts parentName instTys cons)+                    []+           ]++-- | Generates a lambda expression which behaves like the BiFun argument.+makeBiFun :: BiFun -> Options -> Name -> Q Exp+makeBiFun biFun opts name = do+  info <- reifyDatatype name+  case info of+    DatatypeInfo { datatypeContext   = ctxt+                 , datatypeName      = parentName+                 , datatypeInstTypes = instTys+                 , datatypeVariant   = variant+                 , datatypeCons      = cons+                 } ->+      -- We force buildTypeInstance here since it performs some checks for whether+      -- or not the provided datatype can actually have bimap/bifoldr/bitraverse/etc.+      -- implemented for it, and produces errors if it can't.+      buildTypeInstance (biFunToClass biFun) parentName ctxt instTys variant+        >> makeBiFunForCons biFun opts parentName instTys cons++-- | Generates a lambda expression for the given constructors.+-- All constructors must be from the same type.+makeBiFunForCons :: BiFun -> Options -> Name -> [Type] -> [ConstructorInfo] -> Q Exp+makeBiFunForCons biFun opts _parentName instTys cons = do+  map1  <- newName "f"+  map2  <- newName "g"+  z     <- newName "z" -- Only used for deriving bifoldr+  value <- newName "value"+  let argNames   = catMaybes [ Just map1+                             , Just map2+                             , guard (biFun == Bifoldr) >> Just z+                             , Just value+                             ]+      lastTyVars = map varTToName $ drop (length instTys - 2) instTys+      tvMap      = Map.fromList $ zip lastTyVars [map1, map2]+  lamE (map varP argNames)+      . appsE+      $ [ varE $ biFunConstName biFun+        , makeFun z value tvMap+        ] ++ map varE argNames+  where+    makeFun :: Name -> Name -> TyVarMap -> Q Exp+    makeFun z value tvMap = do+      roles <- reifyRoles _parentName+      case () of+        _ | Just (rs, PhantomR) <- unsnoc roles+          , Just (_,  PhantomR) <- unsnoc rs+         -> biFunPhantom z value++          | null cons && emptyCaseBehavior opts+         -> biFunEmptyCase biFun z value++          | null cons+         -> biFunNoCons biFun z value++          | otherwise+         -> caseE (varE value)+                  (map (makeBiFunForCon biFun z tvMap) cons)++    biFunPhantom :: Name -> Name -> Q Exp+    biFunPhantom z value =+        biFunTrivial coerce+                     (varE pureValName `appE` coerce)+                     biFun z+      where+        coerce :: Q Exp+        coerce = varE coerceValName `appE` varE value++-- | Generates a match for a single constructor.+makeBiFunForCon :: BiFun -> Name -> TyVarMap -> ConstructorInfo -> Q Match+makeBiFunForCon biFun z tvMap+  con@(ConstructorInfo { constructorName    = conName+                       , constructorContext = ctxt }) = do+    when ((any (`predMentionsName` Map.keys tvMap) ctxt+             || Map.size tvMap < 2)+             && not (allowExQuant (biFunToClass biFun))) $+      existentialContextError conName+    case biFun of+      Bimap      -> makeBimapMatch tvMap con+      Bifoldr    -> makeBifoldrMatch z tvMap con+      BifoldMap  -> makeBifoldMapMatch tvMap con+      Bitraverse -> makeBitraverseMatch tvMap con++-- | Generates a match whose right-hand side implements @bimap@.+makeBimapMatch :: TyVarMap -> ConstructorInfo -> Q Match+makeBimapMatch tvMap con@(ConstructorInfo{constructorName = conName}) = do+  parts <- foldDataConArgs tvMap ft_bimap con+  match_for_con conName parts+  where+    ft_bimap :: FFoldType (Exp -> Q Exp)+    ft_bimap = FT { ft_triv = return+                  , ft_var  = \v x -> return $ VarE (tvMap Map.! v) `AppE` x+                  , ft_fun  = \g h x -> mkSimpleLam $ \b -> do+                      gg <- g b+                      h $ x `AppE` gg+                  , ft_tup  = mkSimpleTupleCase match_for_con+                  , ft_ty_app = \argGs x -> do+                      let inspect :: (Type, Exp -> Q Exp) -> Q Exp+                          inspect (argTy, g)+                            -- If the argument type is a bare occurrence of one+                            -- of the data type's last type variables, then we+                            -- can generate more efficient code.+                            -- This was inspired by GHC#17880.+                            | Just argVar <- varTToName_maybe argTy+                            , Just f <- Map.lookup argVar tvMap+                            = return $ VarE f+                            | otherwise+                            = mkSimpleLam g+                      appsE $ varE (fmapArity (length argGs))+                            : map inspect argGs+                           ++ [return x]+                  , ft_forall  = \_ g x -> g x+                  , ft_bad_app = \_ -> outOfPlaceTyVarError conName+                  , ft_co_var  = \_ _ -> contravarianceError conName+                  }++    -- Con a1 a2 ... -> Con (f1 a1) (f2 a2) ...+    match_for_con :: Name -> [Exp -> Q Exp] -> Q Match+    match_for_con = mkSimpleConMatch $ \conName' xs ->+       appsE (conE conName':xs) -- Con x1 x2 ..++-- | Generates a match whose right-hand side implements @bifoldr@.+makeBifoldrMatch :: Name -> TyVarMap -> ConstructorInfo -> Q Match+makeBifoldrMatch z tvMap con@(ConstructorInfo{constructorName = conName}) = do+  parts  <- foldDataConArgs tvMap ft_bifoldr con+  parts' <- sequence parts+  match_for_con (VarE z) conName parts'+  where+    -- The Bool is True if the type mentions of the last two type parameters,+    -- False otherwise. Later, match_for_con uses mkSimpleConMatch2 to filter+    -- out expressions that do not mention the last parameters by checking for+    -- False.+    ft_bifoldr :: FFoldType (Q (Bool, Exp))+    ft_bifoldr = FT { -- See Note [ft_triv for Bifoldable and Bitraversable]+                      ft_triv = do lam <- mkSimpleLam2 $ \_ z' -> return z'+                                   return (False, lam)+                    , ft_var  = \v -> return (True, VarE $ tvMap Map.! v)+                    , ft_tup  = \t gs -> do+                        gg  <- sequence gs+                        lam <- mkSimpleLam2 $ \x z' ->+                          mkSimpleTupleCase (match_for_con z') t gg x+                        return (True, lam)+                    , ft_ty_app = \gs -> do+                        lam <- mkSimpleLam2 $ \x z' ->+                                 appsE $ varE (foldrArity (length gs))+                                       : map (\(_, hs) -> fmap snd hs) gs+                                      ++ map return [z', x]+                        return (True, lam)+                    , ft_forall  = \_ g -> g+                    , ft_co_var  = \_ -> contravarianceError conName+                    , ft_fun     = \_ _ -> noFunctionsError conName+                    , ft_bad_app = outOfPlaceTyVarError conName+                    }++    match_for_con :: Exp -> Name -> [(Bool, Exp)] -> Q Match+    match_for_con zExp = mkSimpleConMatch2 $ \_ xs -> return $ mkBifoldr xs+      where+        -- g1 v1 (g2 v2 (.. z))+        mkBifoldr :: [Exp] -> Exp+        mkBifoldr = foldr AppE zExp++-- | Generates a match whose right-hand side implements @bifoldMap@.+makeBifoldMapMatch :: TyVarMap -> ConstructorInfo -> Q Match+makeBifoldMapMatch tvMap con@(ConstructorInfo{constructorName = conName}) = do+  parts  <- foldDataConArgs tvMap ft_bifoldMap con+  parts' <- sequence parts+  match_for_con conName parts'+  where+    -- The Bool is True if the type mentions of the last two type parameters,+    -- False otherwise. Later, match_for_con uses mkSimpleConMatch2 to filter+    -- out expressions that do not mention the last parameters by checking for+    -- False.+    ft_bifoldMap :: FFoldType (Q (Bool, Exp))+    ft_bifoldMap = FT { -- See Note [ft_triv for Bifoldable and Bitraversable]+                        ft_triv = do lam <- mkSimpleLam $ \_ -> return $ VarE memptyValName+                                     return (False, lam)+                      , ft_var  = \v -> return (True, VarE $ tvMap Map.! v)+                      , ft_tup  = \t gs -> do+                          gg  <- sequence gs+                          lam <- mkSimpleLam $ mkSimpleTupleCase match_for_con t gg+                          return (True, lam)+                      , ft_ty_app = \gs -> do+                          e <- appsE $ varE (foldMapArity (length gs))+                                     : map (\(_, hs) -> fmap snd hs) gs+                          return (True, e)+                      , ft_forall  = \_ g -> g+                      , ft_co_var  = \_ -> contravarianceError conName+                      , ft_fun     = \_ _ -> noFunctionsError conName+                      , ft_bad_app = outOfPlaceTyVarError conName+                      }++    match_for_con :: Name -> [(Bool, Exp)] -> Q Match+    match_for_con = mkSimpleConMatch2 $ \_ xs -> return $ mkBifoldMap xs+      where+        -- mappend v1 (mappend v2 ..)+        mkBifoldMap :: [Exp] -> Exp+        mkBifoldMap [] = VarE memptyValName+        mkBifoldMap es = foldr1 (AppE . AppE (VarE mappendValName)) es++-- | Generates a match whose right-hand side implements @bitraverse@.+makeBitraverseMatch :: TyVarMap -> ConstructorInfo -> Q Match+makeBitraverseMatch tvMap con@(ConstructorInfo{constructorName = conName}) = do+  parts  <- foldDataConArgs tvMap ft_bitrav con+  parts' <- sequence parts+  match_for_con conName parts'+  where+    -- The Bool is True if the type mentions of the last two type parameters,+    -- False otherwise. Later, match_for_con uses mkSimpleConMatch2 to filter+    -- out expressions that do not mention the last parameters by checking for+    -- False.+    ft_bitrav :: FFoldType (Q (Bool, Exp))+    ft_bitrav = FT { -- See Note [ft_triv for Bifoldable and Bitraversable]+                     ft_triv = return (False, VarE pureValName)+                   , ft_var  = \v -> return (True, VarE $ tvMap Map.! v)+                   , ft_tup  = \t gs -> do+                       gg  <- sequence gs+                       lam <- mkSimpleLam $ mkSimpleTupleCase match_for_con t gg+                       return (True, lam)+                   , ft_ty_app = \gs -> do+                       e <- appsE $ varE (traverseArity (length gs))+                                  : map (\(_, hs) -> fmap snd hs) gs+                       return (True, e)+                   , ft_forall  = \_ g -> g+                   , ft_co_var  = \_ -> contravarianceError conName+                   , ft_fun     = \_ _ -> noFunctionsError conName+                   , ft_bad_app = outOfPlaceTyVarError conName+                   }++    -- Con a1 a2 ... -> liftA2 (\b1 b2 ... -> Con b1 b2 ...) (g1 a1)+    --                    (g2 a2) <*> ...+    match_for_con :: Name -> [(Bool, Exp)] -> Q Match+    match_for_con = mkSimpleConMatch2 $ \conExp xs -> return $ mkApCon conExp xs+      where+        -- liftA2 (\b1 b2 ... -> Con b1 b2 ...) x1 x2 <*> ..+        mkApCon :: Exp -> [Exp] -> Exp+        mkApCon conExp []  = VarE pureValName `AppE` conExp+        mkApCon conExp [e] = VarE fmapValName `AppE` conExp `AppE` e+        mkApCon conExp (e1:e2:es) = List.foldl' appAp+          (VarE liftA2ValName `AppE` conExp `AppE` e1 `AppE` e2) es+          where appAp se1 se2 = InfixE (Just se1) (VarE apValName) (Just se2)++-------------------------------------------------------------------------------+-- Template Haskell reifying and AST manipulation+-------------------------------------------------------------------------------++-- For the given Types, generate an instance context and head. Coming up with+-- the instance type isn't as simple as dropping the last types, as you need to+-- be wary of kinds being instantiated with *.+-- See Note [Type inference in derived instances]+buildTypeInstance :: BiClass+                  -- ^ Bifunctor, Bifoldable, or Bitraversable+                  -> Name+                  -- ^ The type constructor or data family name+                  -> Cxt+                  -- ^ The datatype context+                  -> [Type]+                  -- ^ The types to instantiate the instance with+                  -> DatatypeVariant+                  -- ^ Are we dealing with a data family instance or not+                  -> Q (Cxt, Type)+buildTypeInstance biClass tyConName dataCxt instTysOrig variant = do+    -- Make sure to expand through type/kind synonyms! Otherwise, the+    -- eta-reduction check might get tripped up over type variables in a+    -- synonym that are actually dropped.+    -- (See GHC Trac #11416 for a scenario where this actually happened.)+    varTysExp <- mapM resolveTypeSynonyms instTysOrig++    let remainingLength :: Int+        remainingLength = length instTysOrig - 2++        droppedTysExp :: [Type]+        droppedTysExp = drop remainingLength varTysExp++        droppedStarKindStati :: [StarKindStatus]+        droppedStarKindStati = map canRealizeKindStar droppedTysExp++    -- Check there are enough types to drop and that all of them are either of+    -- kind * or kind k (for some kind variable k). If not, throw an error.+    when (remainingLength < 0 || any (== NotKindStar) droppedStarKindStati) $+      derivingKindError biClass tyConName++    let droppedKindVarNames :: [Name]+        droppedKindVarNames = catKindVarNames droppedStarKindStati++        -- Substitute kind * for any dropped kind variables+        varTysExpSubst :: [Type]+        varTysExpSubst = map (substNamesWithKindStar droppedKindVarNames) varTysExp++        remainingTysExpSubst, droppedTysExpSubst :: [Type]+        (remainingTysExpSubst, droppedTysExpSubst) =+          splitAt remainingLength varTysExpSubst++        -- All of the type variables mentioned in the dropped types+        -- (post-synonym expansion)+        droppedTyVarNames :: [Name]+        droppedTyVarNames = freeVariables droppedTysExpSubst++    -- If any of the dropped types were polykinded, ensure that they are of kind *+    -- after substituting * for the dropped kind variables. If not, throw an error.+    unless (all hasKindStar droppedTysExpSubst) $+      derivingKindError biClass tyConName++    let preds    :: [Maybe Pred]+        kvNames  :: [[Name]]+        kvNames' :: [Name]+        -- Derive instance constraints (and any kind variables which are specialized+        -- to * in those constraints)+        (preds, kvNames) = unzip $ map (deriveConstraint biClass) remainingTysExpSubst+        kvNames' = concat kvNames++        -- Substitute the kind variables specialized in the constraints with *+        remainingTysExpSubst' :: [Type]+        remainingTysExpSubst' =+          map (substNamesWithKindStar kvNames') remainingTysExpSubst++        -- We now substitute all of the specialized-to-* kind variable names with+        -- *, but in the original types, not the synonym-expanded types. The reason+        -- we do this is a superficial one: we want the derived instance to resemble+        -- the datatype written in source code as closely as possible. For example,+        -- for the following data family instance:+        --+        --   data family Fam a+        --   newtype instance Fam String = Fam String+        --+        -- We'd want to generate the instance:+        --+        --   instance C (Fam String)+        --+        -- Not:+        --+        --   instance C (Fam [Char])+        remainingTysOrigSubst :: [Type]+        remainingTysOrigSubst =+          map (substNamesWithKindStar (List.union droppedKindVarNames kvNames'))+            $ take remainingLength instTysOrig++    isDataFamily <-+      case variant of+        Datatype        -> return False+        Newtype         -> return False+        DataInstance    -> return True+        NewtypeInstance -> return True+#if MIN_VERSION_th_abstraction(0,5,0)+        Datatype.TypeData -> typeDataError tyConName+#endif++    let remainingTysOrigSubst' :: [Type]+        -- See Note [Kind signatures in derived instances] for an explanation+        -- of the isDataFamily check.+        remainingTysOrigSubst' =+          if isDataFamily+             then remainingTysOrigSubst+             else map unSigT remainingTysOrigSubst++        instanceCxt :: Cxt+        instanceCxt = catMaybes preds++        instanceType :: Type+        instanceType = AppT (ConT $ biClassName biClass)+                     $ applyTyCon tyConName remainingTysOrigSubst'++    -- If the datatype context mentions any of the dropped type variables,+    -- we can't derive an instance, so throw an error.+    when (any (`predMentionsName` droppedTyVarNames) dataCxt) $+      datatypeContextError tyConName instanceType+    -- Also ensure the dropped types can be safely eta-reduced. Otherwise,+    -- throw an error.+    unless (canEtaReduce remainingTysExpSubst' droppedTysExpSubst) $+      etaReductionError instanceType+    return (instanceCxt, instanceType)++-- | Attempt to derive a constraint on a Type. If successful, return+-- Just the constraint and any kind variable names constrained to *.+-- Otherwise, return Nothing and the empty list.+--+-- See Note [Type inference in derived instances] for the heuristics used to+-- come up with constraints.+deriveConstraint :: BiClass -> Type -> (Maybe Pred, [Name])+deriveConstraint biClass t+  | not (isTyVar t) = (Nothing, [])+  | otherwise = case hasKindVarChain 1 t of+      Just ns -> ((`applyClass` tName) `fmap` biClassConstraint biClass 1, ns)+      _ -> case hasKindVarChain 2 t of+                Just ns -> ((`applyClass` tName) `fmap` biClassConstraint biClass 2, ns)+                _       -> (Nothing, [])+  where+    tName :: Name+    tName = varTToName t++{-+Note [Kind signatures in derived instances]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~++It is possible to put explicit kind signatures into the derived instances, e.g.,++  instance C a => C (Data (f :: * -> *)) where ...++But it is preferable to avoid this if possible. If we come up with an incorrect+kind signature (which is entirely possible, since our type inferencer is pretty+unsophisticated - see Note [Type inference in derived instances]), then GHC will+flat-out reject the instance, which is quite unfortunate.++Plain old datatypes have the advantage that you can avoid using any kind signatures+at all in their instances. This is because a datatype declaration uses all type+variables, so the types that we use in a derived instance uniquely determine their+kinds. As long as we plug in the right types, the kind inferencer can do the rest+of the work. For this reason, we use unSigT to remove all kind signatures before+splicing in the instance context and head.++Data family instances are trickier, since a data family can have two instances that+are distinguished by kind alone, e.g.,++  data family Fam (a :: k)+  data instance Fam (a :: * -> *)+  data instance Fam (a :: *)++If we dropped the kind signatures for C (Fam a), then GHC will have no way of+knowing which instance we are talking about. To avoid this scenario, we always+include explicit kind signatures in data family instances. There is a chance that+the inferred kind signatures will be incorrect, but if so, we can always fall back+on the make- functions.++Note [Type inference in derived instances]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~++Type inference is can be tricky to get right, and we want to avoid recreating the+entirety of GHC's type inferencer in Template Haskell. For this reason, we will+probably never come up with derived instance contexts that are as accurate as+GHC's. But that doesn't mean we can't do anything! There are a couple of simple+things we can do to make instance contexts that work for 80% of use cases:++1. If one of the last type parameters is polykinded, then its kind will be+   specialized to * in the derived instance. We note what kind variable the type+   parameter had and substitute it with * in the other types as well. For example,+   imagine you had++     data Data (a :: k) (b :: k) (c :: k)++   Then you'd want to derived instance to be:++     instance C (Data (a :: *))++   Not:++     instance C (Data (a :: k))++2. We naïvely come up with instance constraints using the following criteria:++   (i)  If there's a type parameter n of kind k1 -> k2 (where k1/k2 are * or kind+        variables), then generate a Functor n constraint, and if k1/k2 are kind+        variables, then substitute k1/k2 with * elsewhere in the types. We must+        consider the case where they are kind variables because you might have a+        scenario like this:++          newtype Compose (f :: k3 -> *) (g :: k1 -> k2 -> k3) (a :: k1) (b :: k2)+            = Compose (f (g a b))++        Which would have a derived Bifunctor instance of:++          instance (Functor f, Bifunctor g) => Bifunctor (Compose f g) where ...+   (ii) If there's a type parameter n of kind k1 -> k2 -> k3 (where k1/k2/k3 are+        * or kind variables), then generate a Bifunctor n constraint and perform+        kind substitution as in the other case.+-}++{-+Note [Matching functions with GADT type variables]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~++When deriving Bifoldable, there is a tricky corner case to consider:++  data Both a b where+    BothCon :: x -> x -> Both x x++Which fold functions should be applied to which arguments of BothCon? We have a+choice, since both the function of type (a -> m) and of type (b -> m) can be+applied to either argument. In such a scenario, the second fold function takes+precedence over the first fold function, so the derived Bifoldable instance would be:++  instance Bifoldable Both where+    bifoldMap _ g (BothCon x1 x2) = g x1 <> g x2++This is not an arbitrary choice, as this definition ensures that+bifoldMap id = Foldable.foldMap for a derived Bifoldable instance for Both.+-}++-------------------------------------------------------------------------------+-- Error messages+-------------------------------------------------------------------------------++-- | Either the given data type doesn't have enough type variables, or one of+-- the type variables to be eta-reduced cannot realize kind *.+derivingKindError :: BiClass -> Name -> Q a+derivingKindError biClass tyConName = fail+  . showString "Cannot derive well-kinded instance of form ‘"+  . showString className+  . showChar ' '+  . showParen True+    ( showString (nameBase tyConName)+    . showString " ..."+    )+  . showString "‘\n\tClass "+  . showString className+  . showString " expects an argument of kind * -> * -> *"+  $ ""+  where+    className :: String+    className = nameBase $ biClassName biClass++-- | One of the last two type variables appeared in a contravariant position+-- when deriving Bifoldable or Bitraversable.+contravarianceError :: Name -> Q a+contravarianceError conName = fail+  . showString "Constructor ‘"+  . showString (nameBase conName)+  . showString "‘ must not use the last type variable(s) in a function argument"+  $ ""++-- | A constructor has a function argument in a derived Bifoldable or Bitraversable+-- instance.+noFunctionsError :: Name -> Q a+noFunctionsError conName = fail+  . showString "Constructor ‘"+  . showString (nameBase conName)+  . showString "‘ must not contain function types"+  $ ""++-- | The data type has a DatatypeContext which mentions one of the eta-reduced+-- type variables.+datatypeContextError :: Name -> Type -> Q a+datatypeContextError dataName instanceType = fail+  . showString "Can't make a derived instance of ‘"+  . showString (pprint instanceType)+  . showString "‘:\n\tData type ‘"+  . showString (nameBase dataName)+  . showString "‘ must not have a class context involving the last type argument(s)"+  $ ""++-- | The data type has an existential constraint which mentions one of the+-- eta-reduced type variables.+existentialContextError :: Name -> Q a+existentialContextError conName = fail+  . showString "Constructor ‘"+  . showString (nameBase conName)+  . showString "‘ must be truly polymorphic in the last argument(s) of the data type"+  $ ""++-- | The data type mentions one of the n eta-reduced type variables in a place other+-- than the last nth positions of a data type in a constructor's field.+outOfPlaceTyVarError :: Name -> Q a+outOfPlaceTyVarError conName = fail+  . showString "Constructor ‘"+  . showString (nameBase conName)+  . showString "‘ must only use its last two type variable(s) within"+  . showString " the last two argument(s) of a data type"+  $ ""++-- | One of the last type variables cannot be eta-reduced (see the canEtaReduce+-- function for the criteria it would have to meet).+etaReductionError :: Type -> Q a+etaReductionError instanceType = fail $+  "Cannot eta-reduce to an instance of form \n\tinstance (...) => "+  ++ pprint instanceType++typeDataError :: Name -> Q a+typeDataError dataName = fail+  . showString "Cannot derive instance for ‘"+  . showString (nameBase dataName)+  . showString "‘, which is a ‘type data‘ declaration"+  $ ""++-------------------------------------------------------------------------------+-- Class-specific constants+-------------------------------------------------------------------------------++-- | A representation of which class is being derived.+data BiClass = Bifunctor | Bifoldable | Bitraversable++-- | A representation of which function is being generated.+data BiFun = Bimap | Bifoldr | BifoldMap | Bitraverse+  deriving Eq++biFunConstName :: BiFun -> Name+biFunConstName Bimap      = bimapConstValName+biFunConstName Bifoldr    = bifoldrConstValName+biFunConstName BifoldMap  = bifoldMapConstValName+biFunConstName Bitraverse = bitraverseConstValName++biClassName :: BiClass -> Name+biClassName Bifunctor     = bifunctorTypeName+biClassName Bifoldable    = bifoldableTypeName+biClassName Bitraversable = bitraversableTypeName++biFunName :: BiFun -> Name+biFunName Bimap      = bimapValName+biFunName Bifoldr    = bifoldrValName+biFunName BifoldMap  = bifoldMapValName+biFunName Bitraverse = bitraverseValName++biClassToFuns :: BiClass -> [BiFun]+biClassToFuns Bifunctor     = [Bimap]+biClassToFuns Bifoldable    = [Bifoldr, BifoldMap]+biClassToFuns Bitraversable = [Bitraverse]++biFunToClass :: BiFun -> BiClass+biFunToClass Bimap      = Bifunctor+biFunToClass Bifoldr    = Bifoldable+biFunToClass BifoldMap  = Bifoldable+biFunToClass Bitraverse = Bitraversable++biClassConstraint :: BiClass -> Int -> Maybe Name+biClassConstraint Bifunctor     1 = Just functorTypeName+biClassConstraint Bifoldable    1 = Just foldableTypeName+biClassConstraint Bitraversable 1 = Just traversableTypeName+biClassConstraint biClass       2 = Just $ biClassName biClass+biClassConstraint _             _ = Nothing++fmapArity :: Int -> Name+fmapArity 1 = fmapValName+fmapArity 2 = bimapValName+fmapArity n = arityErr n++foldrArity :: Int -> Name+foldrArity 1 = foldrValName+foldrArity 2 = bifoldrValName+foldrArity n = arityErr n++foldMapArity :: Int -> Name+foldMapArity 1 = foldMapValName+foldMapArity 2 = bifoldMapValName+foldMapArity n = arityErr n++traverseArity :: Int -> Name+traverseArity 1 = traverseValName+traverseArity 2 = bitraverseValName+traverseArity n = arityErr n++arityErr :: Int -> a+arityErr n = error $ "Unsupported arity: " ++ show n++allowExQuant :: BiClass -> Bool+allowExQuant Bifoldable = True+allowExQuant _          = False++biFunEmptyCase :: BiFun -> Name -> Name -> Q Exp+biFunEmptyCase biFun z value =+    biFunTrivial emptyCase+                 (varE pureValName `appE` emptyCase)+                 biFun z+  where+    emptyCase :: Q Exp+    emptyCase = caseE (varE value) []++biFunNoCons :: BiFun -> Name -> Name -> Q Exp+biFunNoCons biFun z value =+    biFunTrivial seqAndError+                 (varE pureValName `appE` seqAndError)+                 biFun z+  where+    seqAndError :: Q Exp+    seqAndError = appE (varE seqValName) (varE value) `appE`+                  appE (varE errorValName)+                        (stringE $ "Void " ++ nameBase (biFunName biFun))++biFunTrivial :: Q Exp -> Q Exp -> BiFun -> Name -> Q Exp+biFunTrivial bimapE bitraverseE biFun z = go biFun+  where+    go :: BiFun -> Q Exp+    go Bimap      = bimapE+    go Bifoldr    = varE z+    go BifoldMap  = varE memptyValName+    go Bitraverse = bitraverseE++{-+Note [ft_triv for Bifoldable and Bitraversable]+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+When deriving Bifoldable and Bitraversable, we filter out any subexpressions whose+type does not mention one of the last two type parameters. From this, you might+think that we don't need to implement ft_triv for bifoldr, bifoldMap, or+bitraverse at all, but in fact we do need to. Imagine the following data type:++    data T a b = MkT a (T Int b)++In a derived Bifoldable T instance, you would generate the following bifoldMap+definition:++    bifoldMap f g (MkT a1 a2) = f a1 <> bifoldMap (\_ -> mempty) g arg2++You need to fill in bi_triv (\_ -> mempty) as the first argument to the recursive+call to bifoldMap, since that is how the algorithm handles polymorphic recursion.+-}++-------------------------------------------------------------------------------+-- Generic traversal for functor-like deriving+-------------------------------------------------------------------------------++-- Much of the code below is cargo-culted from the TcGenFunctor module in GHC.++data FFoldType a      -- Describes how to fold over a Type in a functor like way+   = FT { ft_triv    :: a+          -- ^ Does not contain variables+        , ft_var     :: Name -> a+          -- ^ A bare variable+        , ft_co_var  :: Name -> a+          -- ^ A bare variable, contravariantly+        , ft_fun     :: a -> a -> a+          -- ^ Function type+        , ft_tup     :: TupleSort -> [a] -> a+          -- ^ Tuple type. The [a] is the result of folding over the+          --   arguments of the tuple.+        , ft_ty_app  :: [(Type, a)] -> a+          -- ^ Type app, variables only in last argument. The [(Type, a)]+          --   represents the last argument types. That is, they form the+          --   argument parts of @fun_ty arg_ty_1 ... arg_ty_n@.+        , ft_bad_app :: a+          -- ^ Type app, variable other than in last arguments+        , ft_forall  :: [TyVarBndrSpec] -> a -> a+          -- ^ Forall type+     }++-- Note that in GHC, this function is pure. It must be monadic here since we:+--+-- (1) Expand type synonyms+-- (2) Detect type family applications+--+-- Which require reification in Template Haskell, but are pure in Core.+functorLikeTraverse :: forall a.+                       TyVarMap    -- ^ Variables to look for+                    -> FFoldType a -- ^ How to fold+                    -> Type        -- ^ Type to process+                    -> Q a+functorLikeTraverse tvMap (FT { ft_triv = caseTrivial,     ft_var = caseVar+                              , ft_co_var = caseCoVar,     ft_fun = caseFun+                              , ft_tup = caseTuple,        ft_ty_app = caseTyApp+                              , ft_bad_app = caseWrongArg, ft_forall = caseForAll })+                    ty+  = do ty' <- resolveTypeSynonyms ty+       (res, _) <- go False ty'+       return res+  where+    go :: Bool        -- Covariant or contravariant context+       -> Type+       -> Q (a, Bool) -- (result of type a, does type contain var)+    go co t@AppT{}+      | (ArrowT, [funArg, funRes]) <- unapplyTy t+      = do (funArgR, funArgC) <- go (not co) funArg+           (funResR, funResC) <- go      co  funRes+           if funArgC || funResC+              then return (caseFun funArgR funResR, True)+              else trivial+    go co t@AppT{} = do+      let (f, args) = unapplyTy t+      (_,   fc)  <- go co f+      (xrs, xcs) <- fmap unzip $ mapM (go co) args+      let numLastArgs, numFirstArgs :: Int+          numLastArgs  = min 2 $ length args+          numFirstArgs = length args - numLastArgs++          tuple :: TupleSort -> Q (a, Bool)+          tuple tupSort = return (caseTuple tupSort xrs, True)++          wrongArg :: Q (a, Bool)+          wrongArg = return (caseWrongArg, True)++      case () of+        _ |  not (or xcs)+          -> trivial -- Variable does not occur+          -- At this point we know that xrs, xcs is not empty,+          -- and at least one xr is True+          |  TupleT len <- f+          -> tuple $ Boxed len+          |  UnboxedTupleT len <- f+          -> tuple $ Unboxed len+          |  fc || or (take numFirstArgs xcs)+          -> wrongArg                    -- T (..var..)    ty_1 ... ty_n+          |  otherwise                   -- T (..no var..) ty_1 ... ty_n+          -> do itf <- isInTypeFamilyApp tyVarNames f args+                if itf -- We can't decompose type families, so+                       -- error if we encounter one here.+                   then wrongArg+                   else return ( caseTyApp $ drop numFirstArgs $ zip args xrs+                               , True )+    go co (SigT t k) = do+      (_, kc) <- go_kind co k+      if kc+         then return (caseWrongArg, True)+         else go co t+    go co (VarT v)+      | Map.member v tvMap+      = return (if co then caseCoVar v else caseVar v, True)+      | otherwise+      = trivial+    go co (ForallT tvbs _ t) = do+      (tr, tc) <- go co t+      let tvbNames = map tvName tvbs+      if not tc || any (`elem` tvbNames) tyVarNames+         then trivial+         else return (caseForAll tvbs tr, True)+    go _ _ = trivial++    go_kind :: Bool+            -> Kind+            -> Q (a, Bool)+    go_kind = go++    trivial :: Q (a, Bool)+    trivial = return (caseTrivial, False)++    tyVarNames :: [Name]+    tyVarNames = Map.keys tvMap++-- Fold over the arguments of a data constructor in a Functor-like way.+foldDataConArgs :: forall a. TyVarMap -> FFoldType a -> ConstructorInfo -> Q [a]+foldDataConArgs tvMap ft con = do+  fieldTys <- mapM resolveTypeSynonyms $ constructorFields con+  mapM foldArg fieldTys+  where+    foldArg :: Type -> Q a+    foldArg = functorLikeTraverse tvMap ft++-- Make a 'LamE' using a fresh variable.+mkSimpleLam :: (Exp -> Q Exp) -> Q Exp+mkSimpleLam lam = do+  -- Use an underscore in front of the variable name, as it's possible for+  -- certain Bifoldable instances to generate code like this (see #89):+  --+  -- @+  -- bifoldMap (\\_n -> mempty) ...+  -- @+  --+  -- Without the underscore, that code would trigger -Wunused-matches warnings.+  n <- newName "_n"+  lamE [varP n] $ lam (VarE n)++-- Make a 'LamE' using two fresh variables.+mkSimpleLam2 :: (Exp -> Exp -> Q Exp) -> Q Exp+mkSimpleLam2 lam = do+  -- Use an underscore in front of the variable name, as it's possible for+  -- certain Bifoldable instances to generate code like this (see #89):+  --+  -- @+  -- bifoldr (\\_n1 n2 -> n2) ...+  -- @+  --+  -- Without the underscore, that code would trigger -Wunused-matches warnings.+  n1 <- newName "_n1"+  n2 <- newName "n2"+  lamE [varP n1, varP n2] $ lam (VarE n1) (VarE n2)++-- "Con a1 a2 a3 -> fold [x1 a1, x2 a2, x3 a3]"+--+-- @mkSimpleConMatch fold conName insides@ produces a match clause in+-- which the LHS pattern-matches on @extraPats@, followed by a match on the+-- constructor @conName@ and its arguments. The RHS folds (with @fold@) over+-- @conName@ and its arguments, applying an expression (from @insides@) to each+-- of the respective arguments of @conName@.+mkSimpleConMatch :: (Name -> [a] -> Q Exp)+                 -> Name+                 -> [Exp -> a]+                 -> Q Match+mkSimpleConMatch fold conName insides = do+  varsNeeded <- newNameList "_arg" $ length insides+  let pat = conPCompat conName (map VarP varsNeeded)+  rhs <- fold conName (zipWith (\i v -> i $ VarE v) insides varsNeeded)+  return $ Match pat (NormalB rhs) []++-- "Con a1 a2 a3 -> fmap (\b2 -> Con a1 b2 a3) (traverse f a2)"+--+-- @mkSimpleConMatch2 fold conName insides@ behaves very similarly to+-- 'mkSimpleConMatch', with two key differences:+--+-- 1. @insides@ is a @[(Bool, Exp)]@ instead of a @[Exp]@. This is because it+--    filters out the expressions corresponding to arguments whose types do not+--    mention the last type variable in a derived 'Foldable' or 'Traversable'+--    instance (i.e., those elements of @insides@ containing @False@).+--+-- 2. @fold@ takes an expression as its first argument instead of a+--    constructor name. This is because it uses a specialized+--    constructor function expression that only takes as many parameters as+--    there are argument types that mention the last type variable.+mkSimpleConMatch2 :: (Exp -> [Exp] -> Q Exp)+                  -> Name+                  -> [(Bool, Exp)]+                  -> Q Match+mkSimpleConMatch2 fold conName insides = do+  varsNeeded <- newNameList "_arg" lengthInsides+  let pat = conPCompat conName (map VarP varsNeeded)+      -- Make sure to zip BEFORE invoking catMaybes. We want the variable+      -- indices in each expression to match up with the argument indices+      -- in conExpr (defined below).+      exps = catMaybes $ zipWith (\(m, i) v -> if m then Just (i `AppE` VarE v)+                                                    else Nothing)+                                 insides varsNeeded+      -- An element of argTysTyVarInfo is True if the constructor argument+      -- with the same index has a type which mentions the last type+      -- variable.+      argTysTyVarInfo = map (\(m, _) -> m) insides+      (asWithTyVar, asWithoutTyVar) = partitionByList argTysTyVarInfo varsNeeded++      conExpQ+        | null asWithTyVar = appsE (conE conName:map varE asWithoutTyVar)+        | otherwise = do+            bs <- newNameList "b" lengthInsides+            let bs'  = filterByList  argTysTyVarInfo bs+                vars = filterByLists argTysTyVarInfo+                                     (map varE bs) (map varE varsNeeded)+            lamE (map varP bs') (appsE (conE conName:vars))++  conExp <- conExpQ+  rhs <- fold conExp exps+  return $ Match pat (NormalB rhs) []+  where+    lengthInsides = length insides++-- Indicates whether a tuple is boxed or unboxed, as well as its number of+-- arguments. For instance, (a, b) corresponds to @Boxed 2@, and (# a, b, c #)+-- corresponds to @Unboxed 3@.+data TupleSort+  = Boxed   Int+  | Unboxed Int++-- "case x of (a1,a2,a3) -> fold [x1 a1, x2 a2, x3 a3]"+mkSimpleTupleCase :: (Name -> [a] -> Q Match)+                  -> TupleSort -> [a] -> Exp -> Q Exp+mkSimpleTupleCase matchForCon tupSort insides x = do+  let tupDataName = case tupSort of+                      Boxed   len -> tupleDataName len+                      Unboxed len -> unboxedTupleDataName len+  m <- matchForCon tupDataName insides+  return $ CaseE x [m]++-- Adapt to the type of ConP changing in template-haskell-2.18.0.0.+conPCompat :: Name -> [Pat] -> Pat+conPCompat n pats = ConP n+#if MIN_VERSION_template_haskell(2,18,0)+                         []+#endif+                         pats
+ src/Data/Bifunctor/TH/Internal.hs view
@@ -0,0 +1,448 @@+{-# LANGUAGE TemplateHaskellQuotes #-}+{-# LANGUAGE Unsafe #-}++{-|+Module:      Data.Bifunctor.TH.Internal+Copyright:   (C) 2008-2016 Edward Kmett, (C) 2015-2016 Ryan Scott+License:     BSD-style (see the file LICENSE)+Maintainer:  Edward Kmett+Portability: Template Haskell++Template Haskell-related utilities.+-}+module Data.Bifunctor.TH.Internal where++import           Control.Applicative+import           Data.Bifunctor (Bifunctor(..))+import           Data.Bifoldable (Bifoldable(..))+import           Data.Bitraversable (Bitraversable(..))+import           Data.Coerce (coerce)+import           Data.Foldable (foldr')+import qualified Data.List as List+import qualified Data.Map as Map (singleton)+import           Data.Map (Map)+import           Data.Maybe (fromMaybe, mapMaybe)+import           Data.Monoid (Dual(..), Endo(..))+import qualified Data.Set as Set+import           Data.Set (Set)++import           Language.Haskell.TH.Datatype+import           Language.Haskell.TH.Lib+import           Language.Haskell.TH.Syntax++-------------------------------------------------------------------------------+-- Expanding type synonyms+-------------------------------------------------------------------------------++applySubstitutionKind :: Map Name Kind -> Type -> Type+applySubstitutionKind = applySubstitution++substNameWithKind :: Name -> Kind -> Type -> Type+substNameWithKind n k = applySubstitutionKind (Map.singleton n k)++substNamesWithKindStar :: [Name] -> Type -> Type+substNamesWithKindStar ns t = foldr' (flip substNameWithKind starK) t ns++-------------------------------------------------------------------------------+-- Type-specialized const functions+-------------------------------------------------------------------------------++bimapConst :: p b d -> (a -> b) -> (c -> d) -> p a c -> p b d+bimapConst = const . const . const+{-# INLINE bimapConst #-}++bifoldrConst :: c -> (a -> c -> c) -> (b -> c -> c) -> c -> p a b -> c+bifoldrConst = const . const . const . const+{-# INLINE bifoldrConst #-}++bifoldMapConst :: m -> (a -> m) -> (b -> m) -> p a b -> m+bifoldMapConst = const . const . const+{-# INLINE bifoldMapConst #-}++bitraverseConst :: f (t c d) -> (a -> f c) -> (b -> f d) -> t a b -> f (t c d)+bitraverseConst = const . const . const+{-# INLINE bitraverseConst #-}++-------------------------------------------------------------------------------+-- StarKindStatus+-------------------------------------------------------------------------------++-- | Whether a type is not of kind *, is of kind *, or is a kind variable.+data StarKindStatus = NotKindStar+                    | KindStar+                    | IsKindVar Name+  deriving Eq++-- | Does a Type have kind * or k (for some kind variable k)?+canRealizeKindStar :: Type -> StarKindStatus+canRealizeKindStar t+  | hasKindStar t = KindStar+  | otherwise = case t of+                     SigT _ (VarT k) -> IsKindVar k+                     _               -> NotKindStar++-- | Returns 'Just' the kind variable 'Name' of a 'StarKindStatus' if it exists.+-- Otherwise, returns 'Nothing'.+starKindStatusToName :: StarKindStatus -> Maybe Name+starKindStatusToName (IsKindVar n) = Just n+starKindStatusToName _             = Nothing++-- | Concat together all of the StarKindStatuses that are IsKindVar and extract+-- the kind variables' Names out.+catKindVarNames :: [StarKindStatus] -> [Name]+catKindVarNames = mapMaybe starKindStatusToName++-------------------------------------------------------------------------------+-- Assorted utilities+-------------------------------------------------------------------------------++-- filterByList, filterByLists, and partitionByList taken from GHC (BSD3-licensed)++-- | 'filterByList' takes a list of Bools and a list of some elements and+-- filters out these elements for which the corresponding value in the list of+-- Bools is False. This function does not check whether the lists have equal+-- length.+filterByList :: [Bool] -> [a] -> [a]+filterByList (True:bs)  (x:xs) = x : filterByList bs xs+filterByList (False:bs) (_:xs) =     filterByList bs xs+filterByList _          _      = []++-- | 'filterByLists' takes a list of Bools and two lists as input, and+-- outputs a new list consisting of elements from the last two input lists. For+-- each Bool in the list, if it is 'True', then it takes an element from the+-- former list. If it is 'False', it takes an element from the latter list.+-- The elements taken correspond to the index of the Bool in its list.+-- For example:+--+-- @+-- filterByLists [True, False, True, False] \"abcd\" \"wxyz\" = \"axcz\"+-- @+--+-- This function does not check whether the lists have equal length.+filterByLists :: [Bool] -> [a] -> [a] -> [a]+filterByLists (True:bs)  (x:xs) (_:ys) = x : filterByLists bs xs ys+filterByLists (False:bs) (_:xs) (y:ys) = y : filterByLists bs xs ys+filterByLists _          _      _      = []++-- | 'partitionByList' takes a list of Bools and a list of some elements and+-- partitions the list according to the list of Bools. Elements corresponding+-- to 'True' go to the left; elements corresponding to 'False' go to the right.+-- For example, @partitionByList [True, False, True] [1,2,3] == ([1,3], [2])@+-- This function does not check whether the lists have equal+-- length.+partitionByList :: [Bool] -> [a] -> ([a], [a])+partitionByList = go [] []+  where+    go trues falses (True  : bs) (x : xs) = go (x:trues) falses bs xs+    go trues falses (False : bs) (x : xs) = go trues (x:falses) bs xs+    go trues falses _ _ = (reverse trues, reverse falses)++-- | Returns True if a Type has kind *.+hasKindStar :: Type -> Bool+hasKindStar VarT{}         = True+hasKindStar (SigT _ StarT) = True+hasKindStar _              = False++-- Returns True is a kind is equal to *, or if it is a kind variable.+isStarOrVar :: Kind -> Bool+isStarOrVar StarT  = True+isStarOrVar VarT{} = True+isStarOrVar _      = False++-- | @hasKindVarChain n kind@ Checks if @kind@ is of the form+-- k_0 -> k_1 -> ... -> k_(n-1), where k0, k1, ..., and k_(n-1) can be * or+-- kind variables.+hasKindVarChain :: Int -> Type -> Maybe [Name]+hasKindVarChain kindArrows t =+  let uk = uncurryKind (tyKind t)+  in if (length uk - 1 == kindArrows) && all isStarOrVar uk+        then Just (freeVariables uk)+        else Nothing++-- | If a Type is a SigT, returns its kind signature. Otherwise, return *.+tyKind :: Type -> Kind+tyKind (SigT _ k) = k+tyKind _          = starK++-- | A mapping of type variable Names to their map function Names. For example, in a+-- Bifunctor declaration, a TyVarMap might look like (a ~> f, b ~> g), where+-- a and b are the last two type variables of the datatype, and f and g are the two+-- functions which map their respective type variables.+type TyVarMap = Map Name Name++thd3 :: (a, b, c) -> c+thd3 (_, _, c) = c++unsnoc :: [a] -> Maybe ([a], a)+unsnoc []     = Nothing+unsnoc (x:xs) = case unsnoc xs of+                  Nothing    -> Just ([], x)+                  Just (a,b) -> Just (x:a, b)++-- | Generate a list of fresh names with a common prefix, and numbered suffixes.+newNameList :: String -> Int -> Q [Name]+newNameList prefix n = mapM (newName . (prefix ++) . show) [1..n]++-- | Applies a typeclass constraint to a type.+applyClass :: Name -> Name -> Pred+applyClass con t = AppT (ConT con) (VarT t)++-- | Checks to see if the last types in a data family instance can be safely eta-+-- reduced (i.e., dropped), given the other types. This checks for three conditions:+--+-- (1) All of the dropped types are type variables+-- (2) All of the dropped types are distinct+-- (3) None of the remaining types mention any of the dropped types+canEtaReduce :: [Type] -> [Type] -> Bool+canEtaReduce remaining dropped =+       all isTyVar dropped+    && allDistinct droppedNames -- Make sure not to pass something of type [Type], since Type+                                -- didn't have an Ord instance until template-haskell-2.10.0.0+    && not (any (`mentionsName` droppedNames) remaining)+  where+    droppedNames :: [Name]+    droppedNames = map varTToName dropped++-- | Extract Just the Name from a type variable. If the argument Type is not a+-- type variable, return Nothing.+varTToName_maybe :: Type -> Maybe Name+varTToName_maybe (VarT n)   = Just n+varTToName_maybe (SigT t _) = varTToName_maybe t+varTToName_maybe _          = Nothing++-- | Extract the Name from a type variable. If the argument Type is not a+-- type variable, throw an error.+varTToName :: Type -> Name+varTToName = fromMaybe (error "Not a type variable!") . varTToName_maybe++-- | Peel off a kind signature from a Type (if it has one).+unSigT :: Type -> Type+unSigT (SigT t _) = t+unSigT t          = t++-- | Is the given type a variable?+isTyVar :: Type -> Bool+isTyVar (VarT _)   = True+isTyVar (SigT t _) = isTyVar t+isTyVar _          = False++-- | Detect if a Name in a list of provided Names occurs as an argument to some+-- type family. This makes an effort to exclude /oversaturated/ arguments to+-- type families. For instance, if one declared the following type family:+--+-- @+-- type family F a :: Type -> Type+-- @+--+-- Then in the type @F a b@, we would consider @a@ to be an argument to @F@,+-- but not @b@.+isInTypeFamilyApp :: [Name] -> Type -> [Type] -> Q Bool+isInTypeFamilyApp names tyFun tyArgs =+  case tyFun of+    ConT tcName -> go tcName+    _           -> return False+  where+    go :: Name -> Q Bool+    go tcName = do+      info <- reify tcName+      case info of+        FamilyI (OpenTypeFamilyD (TypeFamilyHead _ bndrs _ _)) _+          -> withinFirstArgs bndrs+        FamilyI (ClosedTypeFamilyD (TypeFamilyHead _ bndrs _ _) _) _+          -> withinFirstArgs bndrs+        _ -> return False+      where+        withinFirstArgs :: [a] -> Q Bool+        withinFirstArgs bndrs =+          let firstArgs = take (length bndrs) tyArgs+              argFVs    = freeVariables firstArgs+          in return $ any (`elem` argFVs) names++-- | Are all of the items in a list (which have an ordering) distinct?+--+-- This uses Set (as opposed to nub) for better asymptotic time complexity.+allDistinct :: Ord a => [a] -> Bool+allDistinct = allDistinct' Set.empty+  where+    allDistinct' :: Ord a => Set a -> [a] -> Bool+    allDistinct' uniqs (x:xs)+        | x `Set.member` uniqs = False+        | otherwise            = allDistinct' (Set.insert x uniqs) xs+    allDistinct' _ _           = True++-- | Does the given type mention any of the Names in the list?+mentionsName :: Type -> [Name] -> Bool+mentionsName = go+  where+    go :: Type -> [Name] -> Bool+    go (AppT t1 t2) names = go t1 names || go t2 names+    go (SigT t k)   names = go t  names || go k  names+    go (VarT n)     names = n `elem` names+    go _            _     = False++-- | Does an instance predicate mention any of the Names in the list?+predMentionsName :: Pred -> [Name] -> Bool+predMentionsName = mentionsName++-- | Construct a type via curried application.+applyTy :: Type -> [Type] -> Type+applyTy = List.foldl' AppT++-- | Fully applies a type constructor to its type variables.+applyTyCon :: Name -> [Type] -> Type+applyTyCon = applyTy . ConT++-- | Split an applied type into its individual components. For example, this:+--+-- @+-- Either Int Char+-- @+--+-- would split to this:+--+-- @+-- [Either, Int, Char]+-- @+unapplyTy :: Type -> (Type, [Type])+unapplyTy ty = go ty ty []+  where+    go :: Type -> Type -> [Type] -> (Type, [Type])+    go _      (AppT ty1 ty2)     args = go ty1 ty1 (ty2:args)+    go origTy (SigT ty' _)       args = go origTy ty' args+    go origTy (InfixT ty1 n ty2) args = go origTy (ConT n `AppT` ty1 `AppT` ty2) args+    go origTy (ParensT ty')      args = go origTy ty' args+    go origTy _                  args = (origTy, args)++-- | Split a type signature by the arrows on its spine. For example, this:+--+-- @+-- forall a b. (a ~ b) => (a -> b) -> Char -> ()+-- @+--+-- would split to this:+--+-- @+-- (a ~ b, [a -> b, Char, ()])+-- @+uncurryTy :: Type -> (Cxt, [Type])+uncurryTy (AppT (AppT ArrowT t1) t2) =+  let (ctxt, tys) = uncurryTy t2+  in (ctxt, t1:tys)+uncurryTy (SigT t _) = uncurryTy t+uncurryTy (ForallT _ ctxt t) =+  let (ctxt', tys) = uncurryTy t+  in (ctxt ++ ctxt', tys)+uncurryTy t = ([], [t])++-- | Like uncurryType, except on a kind level.+uncurryKind :: Kind -> [Kind]+uncurryKind = snd . uncurryTy++-------------------------------------------------------------------------------+-- Quoted names+-------------------------------------------------------------------------------++bimapConstValName :: Name+bimapConstValName = 'bimapConst++bifoldrConstValName :: Name+bifoldrConstValName = 'bifoldrConst++bifoldMapConstValName :: Name+bifoldMapConstValName = 'bifoldMapConst++coerceValName :: Name+coerceValName = 'coerce++bitraverseConstValName :: Name+bitraverseConstValName = 'bitraverseConst++wrapMonadDataName :: Name+wrapMonadDataName = 'WrapMonad++functorTypeName :: Name+functorTypeName = ''Functor++foldableTypeName :: Name+foldableTypeName = ''Foldable++traversableTypeName :: Name+traversableTypeName = ''Traversable++composeValName :: Name+composeValName = '(.)++idValName :: Name+idValName = 'id++errorValName :: Name+errorValName = 'error++flipValName :: Name+flipValName = 'flip++fmapValName :: Name+fmapValName = 'fmap++foldrValName :: Name+foldrValName = 'foldr++foldMapValName :: Name+foldMapValName = 'foldMap++seqValName :: Name+seqValName = 'seq++traverseValName :: Name+traverseValName = 'traverse++unwrapMonadValName :: Name+unwrapMonadValName = 'unwrapMonad++bifunctorTypeName :: Name+bifunctorTypeName = ''Bifunctor++bimapValName :: Name+bimapValName = 'bimap++pureValName :: Name+pureValName = 'pure++apValName :: Name+apValName = '(<*>)++liftA2ValName :: Name+liftA2ValName = 'liftA2++mappendValName :: Name+mappendValName = 'mappend++memptyValName :: Name+memptyValName = 'mempty++bifoldableTypeName :: Name+bifoldableTypeName = ''Bifoldable++bitraversableTypeName :: Name+bitraversableTypeName = ''Bitraversable++bifoldrValName :: Name+bifoldrValName = 'bifoldr++bifoldMapValName :: Name+bifoldMapValName = 'bifoldMap++bitraverseValName :: Name+bitraverseValName = 'bitraverse++appEndoValName :: Name+appEndoValName = 'appEndo++dualDataName :: Name+dualDataName = 'Dual++endoDataName :: Name+endoDataName = 'Endo++getDualValName :: Name+getDualValName = 'getDual
+ src/Data/Bifunctor/Tannen.hs view
@@ -0,0 +1,158 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Tannen+  ( Tannen(..)+  ) where++import Control.Applicative++import Control.Arrow as A+import Control.Category+import Control.Comonad++import Data.Bifunctor as B+import Data.Bifunctor.Functor+import Data.Bifunctor.Swap (Swap (..))+import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bitraversable+import Data.Foldable1 (Foldable1(..))+import Data.Functor.Classes++import GHC.Generics++import Prelude hiding ((.),id)++-- | Compose a 'Functor' on the outside of a 'Bifunctor'.+newtype Tannen f p a b = Tannen { runTannen :: f (p a b) }+  deriving (Eq, Ord, Show, Read, Generic)+deriving instance Functor f => Generic1 (Tannen f p a)++instance (Eq1 f, Eq2 p, Eq a) => Eq1 (Tannen f p a) where+  liftEq = liftEq2 (==)+instance (Eq1 f, Eq2 p) => Eq2 (Tannen f p) where+  liftEq2 f g (Tannen x) (Tannen y) = liftEq (liftEq2 f g) x y++instance (Ord1 f, Ord2 p, Ord a) => Ord1 (Tannen f p a) where+  liftCompare = liftCompare2 compare+instance (Ord1 f, Ord2 p) => Ord2 (Tannen f p) where+  liftCompare2 f g (Tannen x) (Tannen y) = liftCompare (liftCompare2 f g) x y++instance (Read1 f, Read2 p, Read a) => Read1 (Tannen f p a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance (Read1 f, Read2 p) => Read2 (Tannen f p) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 p = readParen (p > 10) $ \s0 -> do+    ("Tannen",    s1) <- lex s0+    ("{",         s2) <- lex s1+    ("runTannen", s3) <- lex s2+    (x,           s4) <- liftReadsPrec (liftReadsPrec2 rp1 rl1 rp2 rl2)+                                       (liftReadList2  rp1 rl1 rp2 rl2) 0 s3+    ("}",         s5) <- lex s4+    return (Tannen x, s5)++instance (Show1 f, Show2 p, Show a) => Show1 (Tannen f p a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance (Show1 f, Show2 p) => Show2 (Tannen f p) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (Tannen x) = showParen (p > 10) $+      showString "Tannen {runTannen = "+    . liftShowsPrec (liftShowsPrec2 sp1 sl1 sp2 sl2)+                    (liftShowList2  sp1 sl1 sp2 sl2) 0 x+    . showChar '}'++instance Functor f => BifunctorFunctor (Tannen f) where+  bifmap f (Tannen fp) = Tannen (fmap f fp)++instance (Functor f, Monad f) => BifunctorMonad (Tannen f) where+  bireturn = Tannen . return+  bibind f (Tannen fp) = Tannen $ fp >>= runTannen . f++instance Comonad f => BifunctorComonad (Tannen f) where+  biextract = extract . runTannen+  biextend f (Tannen fp) = Tannen (extend (f . Tannen) fp)++instance (Functor f, Bifunctor p) => Bifunctor (Tannen f p) where+  first f = Tannen . fmap (B.first f) . runTannen+  {-# INLINE first #-}+  second f = Tannen . fmap (B.second f) . runTannen+  {-# INLINE second #-}+  bimap f g = Tannen . fmap (bimap f g) . runTannen+  {-# INLINE bimap #-}++instance (Functor f, Bifunctor p) => Functor (Tannen f p a) where+  fmap f = Tannen . fmap (B.second f) . runTannen+  {-# INLINE fmap #-}++instance (Applicative f, Biapplicative p) => Biapplicative (Tannen f p) where+  bipure a b = Tannen (pure (bipure a b))+  {-# INLINE bipure #-}++  Tannen fg <<*>> Tannen xy = Tannen ((<<*>>) <$> fg <*> xy)+  {-# INLINE (<<*>>) #-}++instance (Foldable f, Bifoldable p) => Foldable (Tannen f p a) where+  foldMap f = foldMap (bifoldMap (const mempty) f) . runTannen+  {-# INLINE foldMap #-}++instance (Foldable f, Bifoldable p) => Bifoldable (Tannen f p) where+  bifoldMap f g = foldMap (bifoldMap f g) . runTannen+  {-# INLINE bifoldMap #-}++instance (Foldable1 f, Bifoldable1 p) => Bifoldable1 (Tannen f p) where+  bifoldMap1 f g = foldMap1 (bifoldMap1 f g) . runTannen+  {-# INLINE bifoldMap1 #-}++instance (Traversable f, Bitraversable p) => Traversable (Tannen f p a) where+  traverse f = fmap Tannen . traverse (bitraverse pure f) . runTannen+  {-# INLINE traverse #-}++instance (Traversable f, Bitraversable p) => Bitraversable (Tannen f p) where+  bitraverse f g = fmap Tannen . traverse (bitraverse f g) . runTannen+  {-# INLINE bitraverse #-}++instance (Applicative f, Category p) => Category (Tannen f p) where+  id = Tannen $ pure id+  Tannen fpbc . Tannen fpab = Tannen $ liftA2 (.) fpbc fpab++instance (Applicative f, Arrow p) => Arrow (Tannen f p) where+  arr f = Tannen $ pure $ arr f+  first = Tannen . fmap A.first . runTannen+  second = Tannen . fmap A.second . runTannen+  Tannen ab *** Tannen cd = Tannen $ liftA2 (***) ab cd+  Tannen ab &&& Tannen ac = Tannen $ liftA2 (&&&) ab ac++instance (Applicative f, ArrowChoice p) => ArrowChoice (Tannen f p) where+  left  = Tannen . fmap left . runTannen+  right = Tannen . fmap right . runTannen+  Tannen ab +++ Tannen cd = Tannen $ liftA2 (+++) ab cd+  Tannen ac ||| Tannen bc = Tannen $ liftA2 (|||) ac bc++instance (Applicative f, ArrowLoop p) => ArrowLoop (Tannen f p) where+  loop = Tannen . fmap loop . runTannen++instance (Applicative f, ArrowZero p) => ArrowZero (Tannen f p) where+  zeroArrow = Tannen $ pure zeroArrow++instance (Applicative f, ArrowPlus p) => ArrowPlus (Tannen f p) where+  Tannen f <+> Tannen g = Tannen (liftA2 (<+>) f g)++-- | @since 5.6.1+instance (Functor f, Swap p) => Swap (Tannen f p) where+  swap = Tannen . fmap swap . runTannen
+ src/Data/Bifunctor/Wrapped.hs view
@@ -0,0 +1,97 @@+{-# LANGUAGE DeriveGeneric #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE PolyKinds #-}+{-# LANGUAGE Safe #-}+{-# LANGUAGE TypeFamilies #-}++-----------------------------------------------------------------------------+-- |+-- Copyright   :  (C) 2008-2016 Edward Kmett+-- License     :  BSD-style (see the file LICENSE)+--+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>+-- Stability   :  provisional+-- Portability :  portable+--+----------------------------------------------------------------------------+module Data.Bifunctor.Wrapped+  ( WrappedBifunctor(..)+  ) where++import Data.Biapplicative+import Data.Bifoldable+import Data.Bifoldable1 (Bifoldable1(..))+import Data.Bitraversable+import Data.Functor.Classes+import GHC.Generics++-- | Make a 'Functor' over the second argument of a 'Bifunctor'.+newtype WrappedBifunctor p a b = WrapBifunctor { unwrapBifunctor :: p a b }+  deriving (Eq, Ord, Show, Read, Generic, Generic1)++instance (Eq2 p, Eq a) => Eq1 (WrappedBifunctor p a) where+  liftEq = liftEq2 (==)+instance Eq2 p => Eq2 (WrappedBifunctor p) where+  liftEq2 f g (WrapBifunctor x) (WrapBifunctor y) = liftEq2 f g x y++instance (Ord2 p, Ord a) => Ord1 (WrappedBifunctor p a) where+  liftCompare = liftCompare2 compare+instance Ord2 p => Ord2 (WrappedBifunctor p) where+  liftCompare2 f g (WrapBifunctor x) (WrapBifunctor y) = liftCompare2 f g x y++instance (Read2 p, Read a) => Read1 (WrappedBifunctor p a) where+  liftReadsPrec = liftReadsPrec2 readsPrec readList+instance Read2 p => Read2 (WrappedBifunctor p) where+  liftReadsPrec2 rp1 rl1 rp2 rl2 p = readParen (p > 10) $ \s0 -> do+    ("WrapBifunctor",   s1) <- lex s0+    ("{",               s2) <- lex s1+    ("unwrapBifunctor", s3) <- lex s2+    (x,                 s4) <- liftReadsPrec2 rp1 rl1 rp2 rl2 0 s3+    ("}",               s5) <- lex s4+    return (WrapBifunctor x, s5)++instance (Show2 p, Show a) => Show1 (WrappedBifunctor p a) where+  liftShowsPrec = liftShowsPrec2 showsPrec showList+instance Show2 p => Show2 (WrappedBifunctor p) where+  liftShowsPrec2 sp1 sl1 sp2 sl2 p (WrapBifunctor x) = showParen (p > 10) $+      showString "WrapBifunctor {unwrapBifunctor = "+    . liftShowsPrec2 sp1 sl1 sp2 sl2 0 x+    . showChar '}'++instance Bifunctor p => Bifunctor (WrappedBifunctor p) where+  first f = WrapBifunctor . first f . unwrapBifunctor+  {-# INLINE first #-}+  second f = WrapBifunctor . second f . unwrapBifunctor+  {-# INLINE second #-}+  bimap f g = WrapBifunctor . bimap f g . unwrapBifunctor+  {-# INLINE bimap #-}++instance Bifunctor p => Functor (WrappedBifunctor p a) where+  fmap f = WrapBifunctor . second f . unwrapBifunctor+  {-# INLINE fmap #-}++instance Biapplicative p => Biapplicative (WrappedBifunctor p) where+  bipure a b = WrapBifunctor (bipure a b)+  {-# INLINE bipure #-}+  WrapBifunctor fg <<*>> WrapBifunctor xy = WrapBifunctor (fg <<*>> xy)+  {-# INLINE (<<*>>) #-}++instance Bifoldable p => Foldable (WrappedBifunctor p a) where+  foldMap f = bifoldMap (const mempty) f . unwrapBifunctor+  {-# INLINE foldMap #-}++instance Bifoldable p => Bifoldable (WrappedBifunctor p) where+  bifoldMap f g = bifoldMap f g . unwrapBifunctor+  {-# INLINE bifoldMap #-}++instance Bifoldable1 p => Bifoldable1 (WrappedBifunctor p) where+  bifoldMap1 f g = bifoldMap1 f g . unwrapBifunctor+  {-# INLINE bifoldMap1 #-}++instance Bitraversable p => Traversable (WrappedBifunctor p a) where+  traverse f = fmap WrapBifunctor . bitraverse pure f . unwrapBifunctor+  {-# INLINE traverse #-}++instance Bitraversable p => Bitraversable (WrappedBifunctor p) where+  bitraverse f g = fmap WrapBifunctor . bitraverse f g . unwrapBifunctor+  {-# INLINE bitraverse #-}
− src/Data/Bitraversable.hs
@@ -1,102 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Bitraversable--- Copyright   :  (C) 2011 Edward Kmett,--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Bitraversable-  ( Bitraversable(..)-  , bifor-  , biforM-  , bimapAccumL-  , bimapAccumR-  , bimapDefault-  , bifoldMapDefault-  ) where--import Control.Applicative-import Data.Monoid-import Data.Bifunctor-import Data.Bifoldable--class (Bifunctor t, Bifoldable t) => Bitraversable t where-  bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> t a b -> f (t c d)-  bitraverse f g = bisequenceA . bimap f g--  bisequenceA :: Applicative f => t (f a) (f b) -> f (t a b)-  bisequenceA = bitraverse id id--  bimapM :: Monad m => (a -> m c) -> (b -> m d) -> t a b -> m (t c d)-  bimapM f g = unwrapMonad . bitraverse (WrapMonad . f) (WrapMonad . g)--  bisequence :: Monad m => t (m a) (m b) -> m (t a b)-  bisequence = bimapM id id--instance Bitraversable (,) where-  bitraverse f g (a, b) = (,) <$> f a <*> g b--instance Bitraversable Either where-  bitraverse f _ (Left a) = Left <$> f a-  bitraverse _ g (Right b) = Right <$> g b--bifor :: (Bitraversable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f (t c d)-bifor t f g = bitraverse f g t-{-# INLINE bifor #-}--biforM :: (Bitraversable t, Monad m) =>  t a b -> (a -> m c) -> (b -> m d) -> m (t c d)-biforM t f g = bimapM f g t----- left-to-right state transformer-newtype StateL s a = StateL { runStateL :: s -> (s, a) }--instance Functor (StateL s) where-        fmap f (StateL k) = StateL $ \ s ->-                let (s', v) = k s in (s', f v)--instance Applicative (StateL s) where-        pure x = StateL (\ s -> (s, x))-        StateL kf <*> StateL kv = StateL $ \ s ->-                let (s', f) = kf s-                    (s'', v) = kv s'-                in (s'', f v)--bimapAccumL :: Bitraversable t => (a -> b -> (a, c)) -> (a -> d -> (a, e)) -> a -> t b d -> (a, t c e)-bimapAccumL f g s t = runStateL (bitraverse (StateL . flip f) (StateL . flip g) t) s---- right-to-left state transformer-newtype StateR s a = StateR { runStateR :: s -> (s, a) }--instance Functor (StateR s) where-        fmap f (StateR k) = StateR $ \ s ->-                let (s', v) = k s in (s', f v)--instance Applicative (StateR s) where-        pure x = StateR (\ s -> (s, x))-        StateR kf <*> StateR kv = StateR $ \ s ->-                let (s', v) = kv s-                    (s'', f) = kf s'-                in (s'', f v)--bimapAccumR :: Bitraversable t => (a -> b -> (a, c)) -> (a -> d -> (a, e)) -> a -> t b d -> (a, t c e)-bimapAccumR f g s t = runStateR (bitraverse (StateR . flip f) (StateR . flip g) t) s--newtype Id a = Id { getId :: a }--instance Functor Id where-        fmap f (Id x) = Id (f x)--instance Applicative Id where-        pure = Id-        Id f <*> Id x = Id (f x)--bimapDefault :: Bitraversable t => (a -> b) -> (c -> d) -> t a c -> t b d-bimapDefault f g = getId . bitraverse (Id . f) (Id . g)--bifoldMapDefault :: (Bitraversable t, Monoid m) => (a -> m) -> (b -> m) -> t a b -> m -bifoldMapDefault f g = getConst . bitraverse (Const . f) (Const . g)
− src/Data/Semigroup/Bifoldable.hs
@@ -1,67 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Semigroup.Foldable--- Copyright   :  (C) 2011 Edward Kmett--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Semigroup.Bifoldable-  ( Bifoldable1(..)-  , bitraverse1_-  , bifor1_-  , bisequenceA1_-  , bifoldMapDefault1-  ) where--import Prelude hiding (foldr)-import Data.Bifoldable-import Data.Functor.Apply-import Data.Semigroup--class Bifoldable t => Bifoldable1 t where-  bifold1 :: Semigroup m => t m m -> m-  bifold1 = bifoldMap1 id id--  bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> t a b -> m-  bifoldMap1 f g = maybe (error "bifoldMap1") id . getOption . bifoldMap (Option . Just . f) (Option . Just . g)--instance Bifoldable1 Either where-  bifoldMap1 f _ (Left a) = f a-  bifoldMap1 _ g (Right b) = g b--instance Bifoldable1 (,) where-  bifoldMap1 f g (a, b) = f a <> g b--newtype Act f a = Act { getAct :: f a }--instance Apply f => Semigroup (Act f a) where-  Act a <> Act b = Act (a .> b)--instance Functor f => Functor (Act f) where-  fmap f (Act a) = Act (f <$> a)-  b <$ Act a = Act (b <$ a)--bitraverse1_ :: (Bifoldable1 t, Apply f) => (a -> f b) -> (c -> f d) -> t a c -> f ()-bitraverse1_ f g t = getAct (bifoldMap1 (Act . ignore . f) (Act . ignore . g) t)-{-# INLINE bitraverse1_ #-}--bifor1_ :: (Bifoldable1 t, Apply f) => t a c -> (a -> f b) -> (c -> f d) -> f ()-bifor1_ t f g = bitraverse1_ f g t -{-# INLINE bifor1_ #-}--ignore :: Functor f => f a -> f ()-ignore = (() <$)--bisequenceA1_ :: (Bifoldable1 t, Apply f) => t (f a) (f b) -> f ()-bisequenceA1_ t = getAct (bifoldMap1 (Act . ignore) (Act . ignore) t)-{-# INLINE bisequenceA1_ #-}---- | Usable default for foldMap, but only if you define bifoldMap1 yourself-bifoldMapDefault1 :: (Bifoldable1 t, Monoid m) => (a -> m) -> (b -> m) -> t a b -> m-bifoldMapDefault1 f g = unwrapMonoid . bifoldMap (WrapMonoid . f) (WrapMonoid . g)-{-# INLINE bifoldMapDefault1 #-}-
− src/Data/Semigroup/Bitraversable.hs
@@ -1,39 +0,0 @@--------------------------------------------------------------------------------- |--- Module      :  Data.Semigroup.Bitraversable--- Copyright   :  (C) 2011 Edward Kmett--- License     :  BSD-style (see the file LICENSE)------ Maintainer  :  Edward Kmett <ekmett@gmail.com>--- Stability   :  provisional--- Portability :  portable---------------------------------------------------------------------------------module Data.Semigroup.Bitraversable-  ( Bitraversable1(..)-  , bifoldMap1Default-  ) where--import Control.Applicative-import Data.Functor.Apply-import Data.Semigroup.Bifoldable-import Data.Bitraversable-import Data.Bifunctor-import Data.Semigroup--class (Bifoldable1 t, Bitraversable t) => Bitraversable1 t where-  bitraverse1 :: Apply f => (a -> f b) -> (c -> f d) -> t a c -> f (t b d)-  bitraverse1 f g  = bisequence1 . bimap f g--  bisequence1 :: Apply f => t (f a) (f b) -> f (t a b)-  bisequence1 = bitraverse1 id id--bifoldMap1Default :: (Bitraversable1 t, Semigroup m) => (a -> m) -> (b -> m) -> t a b -> m-bifoldMap1Default f g = getConst . bitraverse1 (Const . f) (Const . g)--instance Bitraversable1 Either where-  bitraverse1 f _ (Left a) = Left <$> f a-  bitraverse1 _ g (Right b) = Right <$> g b--instance Bitraversable1 (,) where-  bitraverse1 f g (a, b) = (,) <$> f a <.> g b
+ tests/BifunctorSpec.hs view
@@ -0,0 +1,498 @@+{-# LANGUAGE DeriveFoldable #-}+{-# LANGUAGE DeriveFunctor #-}+{-# LANGUAGE DeriveTraversable #-}+{-# LANGUAGE EmptyCase #-}+{-# LANGUAGE EmptyDataDecls #-}+{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE GADTs #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE MagicHash #-}+{-# LANGUAGE RankNTypes #-}+{-# LANGUAGE RoleAnnotations #-}+{-# LANGUAGE StandaloneDeriving #-}+{-# LANGUAGE TemplateHaskell #-}+{-# LANGUAGE TupleSections #-}+{-# LANGUAGE TypeFamilies #-}+{-# LANGUAGE TypeOperators #-}+{-# LANGUAGE UndecidableInstances #-}++{-# OPTIONS_GHC -Wno-name-shadowing #-}+{-# OPTIONS_GHC -Wno-unused-matches #-}+{-# OPTIONS_GHC -Wno-unused-foralls #-}++{-|+Module:      BifunctorSpec+Copyright:   (C) 2008-2015 Edward Kmett, (C) 2015 Ryan Scott+License:     BSD-style (see the file LICENSE)+Maintainer:  Edward Kmett+Portability: Template Haskell++@hspec@ tests for the "Data.Bifunctor.TH" module.+-}+module BifunctorSpec where++import Data.Bifunctor+import Data.Bifunctor.TH+import Data.Bifoldable+import Data.Bitraversable++import Data.Char (chr)+import Data.Functor.Classes (Eq1, Show1)+import Data.Functor.Compose (Compose(..))+import Data.Functor.Identity (Identity(..))+import Data.Monoid++import GHC.Exts (Int#)++import Test.Hspec+import Test.Hspec.QuickCheck (prop)+import Test.QuickCheck (Arbitrary)++-------------------------------------------------------------------------------++-- Adapted from the test cases from+-- https://ghc.haskell.org/trac/ghc/attachment/ticket/2953/deriving-functor-tests.patch++-- Plain data types++data Strange a b c+    = T1 a b c+    | T2 [a] [b] [c]         -- lists+    | T3 [[a]] [[b]] [[c]]   -- nested lists+    | T4 (c,(b,b),(c,c))     -- tuples+    | T5 ([c],Strange a b c) -- tycons+  deriving (Functor, Foldable, Traversable)++type IntFun a b = (b -> Int) -> a+data StrangeFunctions a b c+    = T6 (a -> c)            -- function types+    | T7 (a -> (c,a))        -- functions and tuples+    | T8 ((b -> a) -> c)     -- continuation+    | T9 (IntFun b c)        -- type synonyms+  deriving Functor++data StrangeGADT a b where+    T10 :: Ord d            => d        -> StrangeGADT c d+    T11 ::                     Int      -> StrangeGADT e Int+    T12 :: c ~ Int          => c        -> StrangeGADT f Int+    T13 :: i ~ Int          => Int      -> StrangeGADT h i+    T14 :: k ~ Int          => k        -> StrangeGADT j k+    T15 :: (n ~ c, c ~ Int) => Int -> c -> StrangeGADT m n+instance Foldable (StrangeGADT a) where+  foldMap f (T10 x)   = f x+  foldMap f (T11 _)   = mempty+  foldMap f (T12 _)   = mempty+  foldMap f (T13 _)   = mempty+  foldMap f (T14 x)   = f x+  foldMap f (T15 _ _) = mempty++data NotPrimitivelyRecursive a b+    = S1 (NotPrimitivelyRecursive (a,a) (b, a))+    | S2 a+    | S3 b+  deriving (Functor, Foldable, Traversable)++newtype OneTwoCompose f g a b = OneTwoCompose (f (g a b))+  deriving (Arbitrary, Eq, Foldable, Functor, Show, Traversable)++newtype ComplexConstraint f g a b = ComplexConstraint (f Int Int (g a,a,b))+instance (Bifunctor (f Int), Functor g) =>+    Functor (ComplexConstraint f g a) where+  fmap f (ComplexConstraint x) =+    ComplexConstraint (bimap id (\(ga,a,b) -> (ga,a,f b)) x)+instance (Bifoldable (f Int), Foldable g) =>+    Foldable (ComplexConstraint f g a) where+  foldMap f (ComplexConstraint x) =+    bifoldMap (const mempty) (\(_,_,b) -> f b) x+instance (Bitraversable (f Int), Traversable g) =>+    Traversable (ComplexConstraint f g a) where+  traverse f (ComplexConstraint x) =+    ComplexConstraint `fmap` bitraverse pure (\(ga,a,b) -> (ga,a,) `fmap` f b) x++data Universal a b+    = Universal  (forall b. (b,[a]))+    | Universal2 (forall f. Bifunctor f => f a b)+    | Universal3 (forall a. Maybe a) -- reuse a+    | NotReallyUniversal (forall b. a)+instance Functor (Universal a) where+  fmap f (Universal  x)         = Universal x+  fmap f (Universal2 x)         = Universal2 (bimap id f x)+  fmap f (Universal3 x)         = Universal3 x+  fmap f (NotReallyUniversal x) = NotReallyUniversal x++data Existential a b+    = forall a. ExistentialList [a]+    | forall f. Bitraversable f => ExistentialFunctor (f a b)+    | forall b. SneakyUseSameName (Maybe b)+instance Functor (Existential a) where+  fmap f (ExistentialList x)    = ExistentialList x+  fmap f (ExistentialFunctor x) = ExistentialFunctor (bimap id f x)+  fmap f (SneakyUseSameName x)  = SneakyUseSameName x+instance Foldable (Existential a) where+  foldMap f (ExistentialList _)    = mempty+  foldMap f (ExistentialFunctor x) = bifoldMap (const mempty) f x+  foldMap f (SneakyUseSameName _)  = mempty+instance Traversable (Existential a) where+  traverse f (ExistentialList x)    = pure $ ExistentialList x+  traverse f (ExistentialFunctor x) = ExistentialFunctor `fmap` bitraverse pure f x+  traverse f (SneakyUseSameName x)  = pure $ SneakyUseSameName x++data IntHash a b+    = IntHash Int# Int#+    | IntHashTuple Int# a b (a, b, Int, IntHash Int (a, b, Int))+  deriving (Functor, Foldable)+instance Traversable (IntHash a) where+  traverse f (IntHash x y) = pure (IntHash x y)+  traverse f (IntHashTuple x y z (a,b,c,d)) =+    (\z' b' d' -> IntHashTuple x y z' (a,b',c,d'))+      `fmap` f z+         <*> f b+         <*> traverse (\(m,n,o) -> fmap (\n' -> (m,n',o)) (f n)) d++data IntHashFun a b+    = IntHashFun ((((a -> Int#) -> b) -> Int#) -> a)+  deriving Functor++data Empty1 a b+  deriving (Functor, Foldable, Traversable)++data Empty2 a b+  deriving (Functor, Foldable, Traversable)+type role Empty2 nominal nominal++data TyCon81 a b+    = TyCon81a (forall c. c -> (forall d. a -> d) -> a)+    | TyCon81b (Int -> forall c. c -> b)+instance Functor (TyCon81 a) where+  fmap f (TyCon81a g) = TyCon81a g+  fmap f (TyCon81b g) = TyCon81b (\x y -> f (g x y))++type family F :: * -> * -> *+type instance F = Either++data TyCon82 a b = TyCon82 (F a b)+  deriving (Functor, Foldable, Traversable)++-- Data families++data family   StrangeFam x  y z+data instance StrangeFam a  b c+    = T1Fam a b c+    | T2Fam [a] [b] [c]         -- lists+    | T3Fam [[a]] [[b]] [[c]]   -- nested lists+    | T4Fam (c,(b,b),(c,c))     -- tuples+    | T5Fam ([c],Strange a b c) -- tycons+  deriving (Functor, Foldable, Traversable)++data family   StrangeFunctionsFam x y z+data instance StrangeFunctionsFam a b c+    = T6Fam (a -> c)            -- function types+    | T7Fam (a -> (c,a))        -- functions and tuples+    | T8Fam ((b -> a) -> c)     -- continuation+    | T9Fam (IntFun b c)        -- type synonyms+  deriving Functor++data family   StrangeGADTFam x y+data instance StrangeGADTFam a b where+    T10Fam :: Ord d            => d        -> StrangeGADTFam c d+    T11Fam ::                     Int      -> StrangeGADTFam e Int+    T12Fam :: c ~ Int          => c        -> StrangeGADTFam f Int+    T13Fam :: i ~ Int          => Int      -> StrangeGADTFam h i+    T14Fam :: k ~ Int          => k        -> StrangeGADTFam j k+    T15Fam :: (n ~ c, c ~ Int) => Int -> c -> StrangeGADTFam m n+instance Foldable (StrangeGADTFam a) where+  foldMap f (T10Fam x)   = f x+  foldMap f (T11Fam _)   = mempty+  foldMap f (T12Fam _)   = mempty+  foldMap f (T13Fam _)   = mempty+  foldMap f (T14Fam x)   = f x+  foldMap f (T15Fam _ _) = mempty++data family   NotPrimitivelyRecursiveFam x y+data instance NotPrimitivelyRecursiveFam a b+    = S1Fam (NotPrimitivelyRecursive (a,a) (b, a))+    | S2Fam a+    | S3Fam b+  deriving (Functor, Foldable, Traversable)++data family      OneTwoComposeFam (j :: * -> *) (k :: * -> * -> *) x y+newtype instance OneTwoComposeFam f g a b = OneTwoComposeFam (f (g a b))+  deriving ( Arbitrary, Eq, Show+           , Functor, Foldable, Traversable+           )++data family      ComplexConstraintFam (j :: * -> * -> * -> *) (k :: * -> *) x y+newtype instance ComplexConstraintFam f g a b = ComplexConstraintFam (f Int Int (g a,a,b))+instance (Bifunctor (f Int), Functor g) =>+    Functor (ComplexConstraintFam f g a) where+  fmap f (ComplexConstraintFam x) =+    ComplexConstraintFam (bimap id (\(ga,a,b) -> (ga,a,f b)) x)+instance (Bifoldable (f Int), Foldable g) =>+    Foldable (ComplexConstraintFam f g a) where+  foldMap f (ComplexConstraintFam x) =+    bifoldMap (const mempty) (\(_,_,b) -> f b) x+instance (Bitraversable (f Int), Traversable g) =>+    Traversable (ComplexConstraintFam f g a) where+  traverse f (ComplexConstraintFam x) =+    ComplexConstraintFam `fmap` bitraverse pure (\(ga,a,b) -> (ga,a,) `fmap` f b) x++data family   UniversalFam x y+data instance UniversalFam a b+    = UniversalFam  (forall b. (b,[a]))+    | Universal2Fam (forall f. Bifunctor f => f a b)+    | Universal3Fam (forall a. Maybe a) -- reuse a+    | NotReallyUniversalFam (forall b. a)+instance Functor (UniversalFam a) where+  fmap f (UniversalFam  x)         = UniversalFam x+  fmap f (Universal2Fam x)         = Universal2Fam (bimap id f x)+  fmap f (Universal3Fam x)         = Universal3Fam x+  fmap f (NotReallyUniversalFam x) = NotReallyUniversalFam x++data family   ExistentialFam x y+data instance ExistentialFam a b+    = forall a. ExistentialListFam [a]+    | forall f. Bitraversable f => ExistentialFunctorFam (f a b)+    | forall b. SneakyUseSameNameFam (Maybe b)+instance Functor (ExistentialFam a) where+  fmap f (ExistentialListFam x)    = ExistentialListFam x+  fmap f (ExistentialFunctorFam x) = ExistentialFunctorFam (bimap id f x)+  fmap f (SneakyUseSameNameFam x)  = SneakyUseSameNameFam x+instance Foldable (ExistentialFam a) where+  foldMap f (ExistentialListFam _)    = mempty+  foldMap f (ExistentialFunctorFam x) = bifoldMap (const mempty) f x+  foldMap f (SneakyUseSameNameFam _)  = mempty+instance Traversable (ExistentialFam a) where+  traverse f (ExistentialListFam x)    = pure $ ExistentialListFam x+  traverse f (ExistentialFunctorFam x) = ExistentialFunctorFam `fmap` bitraverse pure f x+  traverse f (SneakyUseSameNameFam x)  = pure $ SneakyUseSameNameFam x++data family   IntHashFam x y+data instance IntHashFam a b+    = IntHashFam Int# Int#+    | IntHashTupleFam Int# a b (a, b, Int, IntHashFam Int (a, b, Int))+  deriving (Functor, Foldable, Traversable)++data family   IntHashFunFam x y+data instance IntHashFunFam a b+    = IntHashFunFam ((((a -> Int#) -> b) -> Int#) -> a)+  deriving Functor++data family   TyFamily81 x y+data instance TyFamily81 a b+    = TyFamily81a (forall c. c -> (forall d. a -> d) -> a)+    | TyFamily81b (Int -> forall c. c -> b)+instance Functor (TyFamily81 a) where+  fmap f (TyFamily81a g) = TyFamily81a g+  fmap f (TyFamily81b g) = TyFamily81b (\x y -> f (g x y))++data family   TyFamily82 x y+data instance TyFamily82 a b = TyFamily82 (F a b)+  deriving (Functor, Foldable, Traversable)++-------------------------------------------------------------------------------++-- Plain data types++$(deriveBifunctor     ''Strange)+$(deriveBifoldable    ''Strange)+$(deriveBitraversable ''Strange)++$(deriveBifunctor     ''StrangeFunctions)+$(deriveBifoldable    ''StrangeGADT)++$(deriveBifunctor     ''NotPrimitivelyRecursive)+$(deriveBifoldable    ''NotPrimitivelyRecursive)+$(deriveBitraversable ''NotPrimitivelyRecursive)++$(deriveBifunctor     ''OneTwoCompose)+$(deriveBifoldable    ''OneTwoCompose)+$(deriveBitraversable ''OneTwoCompose)++instance (Bifunctor (f Int), Functor g) =>+  Bifunctor (ComplexConstraint f g) where+    bimap = $(makeBimap ''ComplexConstraint)++instance (Bifoldable (f Int), Foldable g) =>+  Bifoldable (ComplexConstraint f g) where+    bifoldr   = $(makeBifoldr ''ComplexConstraint)+    bifoldMap = $(makeBifoldMap ''ComplexConstraint)++bifoldlComplexConstraint+  :: (Bifoldable (f Int), Foldable g)+  => (c -> a -> c) -> (c -> b -> c) -> c -> ComplexConstraint f g a b -> c+bifoldlComplexConstraint = $(makeBifoldl ''ComplexConstraint)++bifoldComplexConstraint+  :: (Bifoldable (f Int), Foldable g, Monoid m)+  => ComplexConstraint f g m m -> m+bifoldComplexConstraint = $(makeBifold ''ComplexConstraint)++instance (Bitraversable (f Int), Traversable g) =>+  Bitraversable (ComplexConstraint f g) where+    bitraverse = $(makeBitraverse ''ComplexConstraint)++bisequenceAComplexConstraint+  :: (Bitraversable (f Int), Traversable g, Applicative t)+  => ComplexConstraint f g (t a) (t b) -> t (ComplexConstraint f g a b)+bisequenceAComplexConstraint = $(makeBisequenceA ''ComplexConstraint)++$(deriveBifunctor     ''Universal)++$(deriveBifunctor     ''Existential)+$(deriveBifoldable    ''Existential)+$(deriveBitraversable ''Existential)++$(deriveBifunctor     ''IntHash)+$(deriveBifoldable    ''IntHash)+$(deriveBitraversable ''IntHash)++$(deriveBifunctor     ''IntHashFun)++$(deriveBifunctor     ''Empty1)+$(deriveBifoldable    ''Empty1)+$(deriveBitraversable ''Empty1)++-- Use EmptyCase here+$(deriveBifunctorOptions     defaultOptions{emptyCaseBehavior = True} ''Empty2)+$(deriveBifoldableOptions    defaultOptions{emptyCaseBehavior = True} ''Empty2)+$(deriveBitraversableOptions defaultOptions{emptyCaseBehavior = True} ''Empty2)++$(deriveBifunctor     ''TyCon81)++$(deriveBifunctor     ''TyCon82)+$(deriveBifoldable    ''TyCon82)+$(deriveBitraversable ''TyCon82)++-- Data families++$(deriveBifunctor     'T1Fam)+$(deriveBifoldable    'T2Fam)+$(deriveBitraversable 'T3Fam)++$(deriveBifunctor     'T6Fam)+$(deriveBifoldable    'T10Fam)++$(deriveBifunctor     'S1Fam)+$(deriveBifoldable    'S2Fam)+$(deriveBitraversable 'S3Fam)++$(deriveBifunctor     'OneTwoComposeFam)+$(deriveBifoldable    'OneTwoComposeFam)+$(deriveBitraversable 'OneTwoComposeFam)++instance (Bifunctor (f Int), Functor g) =>+  Bifunctor (ComplexConstraintFam f g) where+    bimap = $(makeBimap 'ComplexConstraintFam)++instance (Bifoldable (f Int), Foldable g) =>+  Bifoldable (ComplexConstraintFam f g) where+    bifoldr   = $(makeBifoldr 'ComplexConstraintFam)+    bifoldMap = $(makeBifoldMap 'ComplexConstraintFam)++bifoldlComplexConstraintFam+  :: (Bifoldable (f Int), Foldable g)+  => (c -> a -> c) -> (c -> b -> c) -> c -> ComplexConstraintFam f g a b -> c+bifoldlComplexConstraintFam = $(makeBifoldl 'ComplexConstraintFam)++bifoldComplexConstraintFam+  :: (Bifoldable (f Int), Foldable g, Monoid m)+  => ComplexConstraintFam f g m m -> m+bifoldComplexConstraintFam = $(makeBifold 'ComplexConstraintFam)++instance (Bitraversable (f Int), Traversable g) =>+  Bitraversable (ComplexConstraintFam f g) where+    bitraverse = $(makeBitraverse 'ComplexConstraintFam)++bisequenceAComplexConstraintFam+  :: (Bitraversable (f Int), Traversable g, Applicative t)+  => ComplexConstraintFam f g (t a) (t b) -> t (ComplexConstraintFam f g a b)+bisequenceAComplexConstraintFam = $(makeBisequenceA 'ComplexConstraintFam)++$(deriveBifunctor     'UniversalFam)++$(deriveBifunctor     'ExistentialListFam)+$(deriveBifoldable    'ExistentialFunctorFam)+$(deriveBitraversable 'SneakyUseSameNameFam)++$(deriveBifunctor     'IntHashFam)+$(deriveBifoldable    'IntHashTupleFam)+$(deriveBitraversable 'IntHashFam)++$(deriveBifunctor     'IntHashFunFam)++$(deriveBifunctor     'TyFamily81a)++$(deriveBifunctor     'TyFamily82)+$(deriveBifoldable    'TyFamily82)+$(deriveBitraversable 'TyFamily82)++-------------------------------------------------------------------------------++prop_BifunctorLaws :: (Bifunctor p, Eq (p a b), Eq (p c d), Show (p a b), Show (p c d))+                   => (a -> c) -> (b -> d) -> p a b -> Expectation+prop_BifunctorLaws f g x = do+    bimap  id id x `shouldBe` x+    first  id    x `shouldBe` x+    second id    x `shouldBe` x+    bimap  f  g  x `shouldBe` (first f . second g) x++prop_BifunctorEx :: (Bifunctor p, Eq (p [Int] [Int]), Show (p [Int] [Int])) => p [Int] [Int] -> Expectation+prop_BifunctorEx = prop_BifunctorLaws reverse (++ [42])++prop_BifoldableLaws :: (Eq a, Eq b, Eq z, Show a, Show b, Show z,+                        Monoid a, Monoid b, Bifoldable p)+                => (a -> b) -> (a -> b)+                -> (a -> z -> z) -> (a -> z -> z)+                -> z -> p a a -> Expectation+prop_BifoldableLaws f g h i z x = do+    bifold        x `shouldBe` bifoldMap id id x+    bifoldMap f g x `shouldBe` bifoldr (mappend . f) (mappend . g) mempty x+    bifoldr h i z x `shouldBe` appEndo (bifoldMap (Endo . h) (Endo . i) x) z++prop_BifoldableEx :: Bifoldable p => p [Int] [Int] -> Expectation+prop_BifoldableEx = prop_BifoldableLaws reverse (++ [42]) ((+) . length) ((*) . length) 0++prop_BitraversableLaws :: (Applicative f, Applicative g, Bitraversable p,+                           Eq   (g (p c c)), Eq   (p a b), Eq   (p d e), Eq1 f,+                           Show (g (p c c)), Show (p a b), Show (p d e), Show1 f)+                       => (a -> f c) -> (b -> f c) -> (c -> f d) -> (c -> f e)+                       -> (forall x. f x -> g x) -> p a b -> Expectation+prop_BitraversableLaws f g h i t x = do+    bitraverse (t . f) (t . g)   x `shouldBe` (t . bitraverse f g) x+    bitraverse Identity Identity x `shouldBe` Identity x+    (Compose . fmap (bitraverse h i) . bitraverse f g) x+      `shouldBe` bitraverse (Compose . fmap h . f) (Compose . fmap i . g) x++prop_BitraversableEx :: (Bitraversable p,+                        Eq   (p Char Char), Eq   (p [Char] [Char]), Eq   (p [Int] [Int]),+                        Show (p Char Char), Show (p [Char] [Char]), Show (p [Int] [Int]))+                        => p [Int] [Int] -> Expectation+prop_BitraversableEx = prop_BitraversableLaws+    (replicate 2 . map (chr . abs))+    (replicate 4 . map (chr . abs))+    (++ "hello")+    (++ "world")+    reverse++-------------------------------------------------------------------------------++main :: IO ()+main = hspec spec++spec :: Spec+spec = do+    describe "OneTwoCompose Maybe Either [Int] [Int]" $ do+        prop "satisfies the Bifunctor laws"+            (prop_BifunctorEx     :: OneTwoCompose Maybe Either [Int] [Int] -> Expectation)+        prop "satisfies the Bifoldable laws"+            (prop_BifoldableEx    :: OneTwoCompose Maybe Either [Int] [Int] -> Expectation)+        prop "satisfies the Bitraversable laws"+            (prop_BitraversableEx :: OneTwoCompose Maybe Either [Int] [Int] -> Expectation)+    describe "OneTwoComposeFam Maybe Either [Int] [Int]" $ do+        prop "satisfies the Bifunctor laws"+            (prop_BifunctorEx     :: OneTwoComposeFam Maybe Either [Int] [Int] -> Expectation)+        prop "satisfies the Bifoldable laws"+            (prop_BifoldableEx    :: OneTwoComposeFam Maybe Either [Int] [Int] -> Expectation)+        prop "satisfies the Bitraversable laws"+            (prop_BitraversableEx :: OneTwoComposeFam Maybe Either [Int] [Int] -> Expectation)
+ tests/Spec.hs view
@@ -0,0 +1,1 @@+{-# OPTIONS_GHC -F -pgmF hspec-discover #-}
+ tests/T89Spec.hs view
@@ -0,0 +1,21 @@+{-# LANGUAGE TemplateHaskell #-}++-- | A regression test for #89 which ensures that a TH-generated Bifoldable+-- instance of a certain shape does not trigger -Wunused-matches warnings.+module T89Spec where++import Data.Bifunctor.TH+import Test.Hspec++data X = MkX+data Y a b = MkY a b+newtype XY a b = XY { getResp :: Either X (Y a b) }++$(deriveBifoldable ''Y)+$(deriveBifoldable ''XY)++main :: IO ()+main = hspec spec++spec :: Spec+spec = return ()