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rank2classes 1.0 → 1.0.1

raw patch · 3 files changed

+244/−2 lines, 3 files

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+ CHANGELOG.md view
@@ -0,0 +1,32 @@+Version 1.0.1+---------------+* Fixed the doctests++Version 1.0+---------------+* Swapped distributeWith with cotraverse+* Documentation improvements++Version 0.2.1.1+---------------+* Corrected the README++Version 0.2.1+---------------+* Incremented the dependency bounds for GHC 8.2.1++Version 0.2+---------------+* Introduced `DistributiveTraversable` as a generalization of `Distributive`+* Export "cotraverse" and "cotraverseTraversable"+* Added `liftA3`, `liftA4`, `liftA5`+* Added more convienence functions+* Fixed grammatical errors and overlong lines++Version 0.1.1+---------------+* Generalized the classes with `{-# LANGUAGE PolyKinds" #-}`++Version 0.1+---------------+* Initial release
rank2classes.cabal view
@@ -1,5 +1,5 @@ name:                rank2classes-version:             1.0+version:             1.0.1 synopsis:            standard type constructor class hierarchy, only with methods of rank 2 types description:   A mirror image of the standard type constructor class hierarchy rooted in 'Functor', except with methods of rank 2@@ -17,7 +17,7 @@ build-type:          Simple -- extra-source-files:   cabal-version:       >=1.10-extra-source-files:  README.md+extra-source-files:  README.md, CHANGELOG.md, test/README.lhs source-repository head   type:              git   location:          https://github.com/blamario/grampa
+ test/README.lhs view
@@ -0,0 +1,210 @@+Rank 2 Classes+==============++### The standard constructor type classes in the parallel rank-2 universe ###++The rank2 package exports module `Rank2`, meant to be imported qualified like this:++~~~ {.haskell}+{-# LANGUAGE RankNTypes, TemplateHaskell #-}+module MyModule where+import qualified Rank2+import qualified Rank2.TH+~~~++Several more imports for the examples...++~~~ {.haskell}+import Data.Functor.Classes (Show1, showsPrec1)+import Data.Functor.Identity (Identity(..))+import Data.Functor.Const (Const(..))+import Data.List (find)+~~~++The `Rank2` import will make available the following type classes:+  * [Rank2.Functor](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#t:Functor)+  * [Rank2.Apply](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#t:Apply)+  * [Rank2.Applicative](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#t:Applicative)+  * [Rank2.Foldable](http://hackage.haskell.org/packages/archive/doc/html/Rank2.html#t:Foldable)+  * [Rank2.Traversable](http://hackage.haskell.org/packages/archive/doc/html/Rank2.html#t:Traversable)+  * [Rank2.Distributive](http://hackage.haskell.org/packages/archive/doc/html/Rank2.html#t:Distributive)++The methods of these type classes all have rank-2 types. The class instances are data types of kind `(k -> *) -> *`,+one example of which would be a database record with different field types but all wrapped by the same type+constructor:++~~~ {.haskell}+data Person f = Person{+   name           :: f String,+   age            :: f Int,+   mother, father :: f (Maybe PersonVerified)+   }+~~~++By wrapping each field we have declared a generalized record type. It can made to play different roles by switching the+value of the parameter `f`. Some examples would be++~~~ {.haskell}+type PersonVerified = Person Identity+type PersonText = Person (Const String)+type PersonWithErrors = Person (Either String)+type PersonDatabase = [PersonVerified]+type PersonDatabaseByColumns = Person []+~~~++If you wish to have the standard [Eq](http://hackage.haskell.org/package/base/docs/Data-Eq.html#t:Eq) and+[Show](http://hackage.haskell.org/package/base/docs/Text-Show.html#t:Show) instances for a record type like `Person`,+it's best if they refer to the+[Eq1](http://hackage.haskell.org/package/base-4.9.1.0/docs/Data-Functor-Classes.html#t:Eq1) and+[Show1](http://hackage.haskell.org/package/base-4.9.1.0/docs/Data-Functor-Classes.html#t:Show1) instances for its+parameter `f`:++~~~ {.haskell}+instance Show1 f => Show (Person f) where+   showsPrec prec person rest =+       "Person{" ++ separator ++ "name=" ++ showsPrec1 prec' (name person)+            ("," ++ separator ++ "age=" ++ showsPrec1 prec' (age person)+            ("," ++ separator ++ "mother=" ++ showsPrec1 prec' (mother person)+            ("," ++ separator ++ "father=" ++ showsPrec1 prec' (father person)+            ("}" ++ rest))))+        where prec' = succ prec+              separator = "\n" ++ replicate prec' ' '+~~~++You can create the rank-2 class instances for your data types manually, or you can generate the instances using the+templates imported from the `Rank2.TH` module with a single line of code per data type:++~~~ {.haskell}+$(Rank2.TH.deriveAll ''Person)+~~~++Either way, once you have the rank-2 type class instances, you can use them to easily convert between records with+different parameters `f`.++### Record construction and modification examples ###++In case of our `Person` record, a couple of helper functions will prove handy:++~~~ {.haskell}+findPerson :: PersonDatabase -> String -> Maybe PersonVerified+findPerson db nameToFind = find ((nameToFind ==) . runIdentity . name) db+   +personByName :: PersonDatabase -> String -> Either String (Maybe PersonVerified)+personByName db personName+   | null personName = Right Nothing+   | p@Just{} <- findPerson db personName = Right p+   | otherwise = Left ("Nobody by name of " ++ personName)+~~~++Now we can start by constructing a `Person` record with rank-2 functions for fields. This record is not so much a person+as a field-by-field person verifier:+ +~~~ {.haskell}+personChecker :: PersonDatabase -> Person (Rank2.Arrow (Const String) (Either String))+personChecker db =+   Person{name= Rank2.Arrow (Right . getConst),+          age= Rank2.Arrow $ \(Const age)->+               case reads age+               of [(n, "")] -> Right n+                  _ -> Left (age ++ " is not an integer"),+          mother= Rank2.Arrow (personByName db . getConst),+          father= Rank2.Arrow (personByName db . getConst)}+~~~++We can apply it using the [Rank2.<*>](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#v:-60--42--62-)+method of the [Rank2.Apply](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#t:Apply) type class to a bunch+of textual fields for `Person`, and get back either errors or proper field values:++~~~ {.haskell}+verify :: PersonDatabase -> PersonText -> PersonWithErrors+verify db person = personChecker db Rank2.<*> person+~~~++If there are no errors, we can get a fully verified record by applying+[Rank2.traverse](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#v:traverse) to the result:++~~~ {.haskell}+completeVerified :: PersonWithErrors -> Either String PersonVerified+completeVerified = Rank2.traverse (Identity <$>)+~~~++or we can go in the opposite direction with+[Rank2.<$>](http://hackage.haskell.org/packages/rank2/doc/html/Rank2.html#v:-60--36--62-):++~~~ {.haskell}+uncompleteVerified :: PersonVerified -> PersonWithErrors+uncompleteVerified = Rank2.fmap (Right . runIdentity)+~~~++If on the other hand there *are* errors, we can collect them using+[Rank2.foldMap](http://hackage.haskell.org/packages/rank2/doc/html#v:foldMap):++~~~ {.haskell}+verificationErrors :: PersonWithErrors -> [String]+verificationErrors = Rank2.foldMap (either (:[]) (const []))+~~~++Here is an example GHCi session:++~~~ {.haskell}+-- |+-- >>> :{+--let Right alice = completeVerified $+--                  verify [] Person{name= Const "Alice", age= Const "44",+--                                   mother= Const "", father= Const ""}+--    Right bob = completeVerified $+--                verify [] Person{name= Const "Bob", age= Const "45",+--                                 mother= Const "", father= Const ""}+--    Right charlie = completeVerified $+--                    verify [alice, bob] Person{name= Const "Charlie", age= Const "19",+--                                               mother= Const "Alice", father= Const "Bob"}+-- :}+-- +-- >>> charlie+-- Person{+--  name=Identity "Charlie",+--  age=Identity 19,+--  mother=Identity (Just Person{+--             name=(Identity "Alice"),+--             age=(Identity 44),+--             mother=(Identity Nothing),+--             father=(Identity Nothing)}),+--  father=Identity (Just Person{+--             name=(Identity "Bob"),+--             age=(Identity 45),+--             mother=(Identity Nothing),+--             father=(Identity Nothing)})}+-- >>> :{+--let dave = verify [alice, bob, charlie]+--           Person{name= Const "Dave", age= Const "young",+--                  mother= Const "Lise", father= Const "Mike"}+-- :}+--+-- >>> dave+-- Person{+--  name=Right "Dave",+--  age=Left "young is not an integer",+--  mother=Left "Nobody by name of Lise",+--  father=Left "Nobody by name of Mike"}+-- >>> completeVerified dave+-- Left "young is not an integer"+-- >>> verificationErrors  dave+-- ["young is not an integer","Nobody by name of Lise","Nobody by name of Mike"]+-- >>> Rank2.distribute [alice, bob, charlie]+-- Person{+--  name=Compose [Identity "Alice",Identity "Bob",Identity "Charlie"],+--  age=Compose [Identity 44,Identity 45,Identity 19],+--  mother=Compose [Identity Nothing,Identity Nothing,Identity (Just Person{+--             name=(Identity "Alice"),+--             age=(Identity 44),+--             mother=(Identity Nothing),+--             father=(Identity Nothing)})],+--  father=Compose [Identity Nothing,Identity Nothing,Identity (Just Person{+--             name=(Identity "Bob"),+--             age=(Identity 45),+--             mother=(Identity Nothing),+--             father=(Identity Nothing)})]}+~~~++Grammars are another use case that is almost, but not quite, completely unlike database records. See+[grammatical-parsers](https://github.com/blamario/grampa/tree/master/grammatical-parsers) about that.