# Higgledy 📚 Higher-kinded data via generics: all\* the benefits, but none\* of the boilerplate. ## Introduction When we work with [higher-kinded data](https://reasonablypolymorphic.com/blog/higher-kinded-data), we find ourselves writing types like: ```{haskell, ignore} data User f = User { name :: f String , age :: f Int , ... } ``` This is good - we can use `f ~ Maybe` for partial data, `f ~ Identity` for complete data, etc - but it introduces a fair amount of noise, and we have a lot of boilerplate deriving to do. Wouldn't it be nice if we could get back to writing simple types as we know and love them, and get all this stuff for _free_? ```{haskell, ignore} data User = User { name :: String , age :: Int , ... } deriving Generic -- HKD for free! type UserF f = HKD User f ``` As an added little bonus, any `HKD`-wrapped object is automatically an instance of all the [Barbie](https://hackage.haskell.org/package/barbies) classes, so no need to derive anything more than `Generic`! ## API All examples below were compiled with the following extensions, modules, and example data types: ```haskell {-# LANGUAGE DataKinds #-} {-# LANGUAGE DeriveGeneric #-} {-# LANGUAGE TypeApplications #-} {-# LANGUAGE OverloadedLabels #-} {-# LANGUAGE TypeOperators #-} module Main where import Control.Applicative (Alternative (empty)) import Control.Lens ((.~), (^.), (&), Const (..), Identity, anyOf) import Data.Barbie (ProductB (buniq)) import Data.Functor.Const (Const (..)) import Data.Functor.Identity (Identity (..)) import Data.Generic.HKD import Data.Maybe (isJust, isNothing) import Data.Monoid (Last (..)) import GHC.Generics (Generic) import Named ((:!), (!)) -- An example of a record (with named fields): data User = User { name :: String , age :: Int , likesDogs :: Bool } deriving (Generic, Show) user :: User user = User "Tom" 26 True -- An example of a product (without named fields): data Triple = Triple Int () String deriving (Generic, Show) triple :: Triple triple = Triple 123 () "ABC" ``` ### The HKD type constructor The `HKD` type takes two parameters: your model type, and the functor in which we want to wrap all our inputs. By picking different functors for the second parameter, we can recover various behaviours: ```haskell type Partial a = HKD a Last -- Fields may be missing. type Bare a = HKD a Identity -- All must be present. type Labels a = HKD a (Const String) -- Every field holds a string. ``` _NB: as of GHC 8.8, the `Last` monoid will be removed in favour of `Compose Maybe Last` (using the `Last` in `Data.Semigroup`). Until then, I'll use `Last` for brevity, but you may wish to use this suggestion for future-proofing._ ### Fresh objects When we want to start working with the `HKD` interface, we have a couple of options, depending on the functor in question. The first option is to use `mempty`: ```haskell eg0 :: Partial User eg0 = mempty -- User -- { name = Last {getLast = Nothing} -- , age = Last {getLast = Nothing} -- , likesDogs = Last {getLast = Nothing} -- } ``` Other 'Alternative'-style functors lead to very different results: ```haskell eg1 :: Labels Triple eg1 = mempty -- Triple -- Const "" -- Const "" -- Const "" ``` Of course, this method requires every field to be monoidal. If we try with `Identity`, for example, we're in trouble if all our fields aren't themselves monoids: ```{haskell, ignore} eg2 :: Bare Triple eg2 = mempty -- error: -- • No instance for (Monoid Int) arising from a use of ‘mempty’ ``` The other option is to `deconstruct` a complete object. This effectively lifts a type into the `HKD` structure with `pure` applied to each field: ```haskell eg3 :: Bare User eg3 = deconstruct user -- User -- { name = Identity "Tom" -- , age = Identity 26 -- , likesDogs = Identity True -- } ``` This approach works with any applicative we like, so we can recover the other behaviours: ```haskell eg4 :: Partial Triple eg4 = deconstruct @Last triple -- Triple -- Last {getLast = Just 123} -- Last {getLast = Just ()} -- Last {getLast = Just "ABC"} ``` There's also `construct` for when we want to escape our `HKD` wrapper, and attempt to _construct_ our original type: ```haskell eg5 :: Last Triple eg5 = construct eg4 -- Last {getLast = Just (Triple 123 () "ABC")} ``` If none of the above suit your needs, maybe you want to try `build` on for size. This function constructs an `HKD`-wrapped version of the type supplied to it by taking all its parameters. In other words: ```haskell eg6 :: f Int -> f () -> f String -> HKD Triple f eg6 = build @Triple eg7 :: HKD Triple [] eg7 = eg6 [1] [] ["Tom", "Tim"] -- Triple [1] [] ["Tom","Tim"] ``` Should we need to work with records, we can exploit the label trickery of the [`named`](https://hackage.haskell.org/package/named) package. The `record` function behaves exactly as `build` does, but produces a function compatible with the `named` interface. After that, we can use the function with labels (and with no regard for the internal order): ```haskell eg8 :: "name" :! f [Char] -> "age" :! f Int -> "likesDogs" :! f Bool -> HKD User f eg8 = record @User eg9 :: HKD User Maybe eg9 = eg8 ! #name (Just "Tom") ! #likesDogs (Just True) ! #age (Just 26) ``` If you're _still_ not satisfied, check out the [`buniq`](https://hackage.haskell.org/package/barbies-1.1.2.1/docs/Data-Barbie.html#v:buniq) method hiding in `barbies`: ```haskell eg10 :: HKD Triple [] eg10 = buniq empty -- Triple [] [] [] ``` ### Field Access The `field` lens, when given a type-applied field name, allows us to focus on fields within a record: ```haskell eg11 :: Last Int eg11 = eg0 ^. field @"age" -- Last {getLast = Nothing} ``` As this is a true `Lens`, it also means that we can _set_ values within our record (note that these set values will _also_ need to be in our functor of choice): ```haskell eg12 :: Partial User eg12 = eg0 & field @"name" .~ pure "Evil Tom" & field @"likesDogs" .~ pure False -- User -- { name = Last {getLast = Just "Evil Tom"} -- , age = Last {getLast = Nothing} -- , likesDogs = Last {getLast = Just False} -- } ``` This also means, for example, we can check whether a particular value has been completed for a given partial type: ```haskell eg13 :: Bool eg13 = anyOf (field @"name") (isJust . getLast) eg0 -- False ``` Finally, thanks to the fact that this library exploits some of the internals of `generic-lens`, we'll also get a nice type error when we mention a field that doesn't exist in our type: ```{haskell, ignore} eg14 :: Identity () eg14 = eg3 ^. field @"oops" -- error: -- • The type User does not contain a field named 'oops'. ``` ### Position Access Just as with field names, we can use positions when working with non-record product types: ```haskell eg15 :: Labels Triple eg15 = mempty & position @1 .~ Const "hello" & position @2 .~ Const "world" -- Triple -- Const "hello" -- Const "world" -- Const "" ``` Again, this is a `Lens`, so we can just as easily _set_ values: ```haskell eg16 :: Partial User eg16 = eg12 & position @2 .~ pure 26 -- User -- { name = Last {getLast = Just "Evil Tom"} -- , age = Last {getLast = Just 26} -- , likesDogs = Last {getLast = Just False} -- } ``` Similarly, the internals here come to us courtesy of `generic-lens`, so the type errors are a delight: ```{haskell, ignore} eg17 :: Identity () eg17 = deconstruct @Identity triple ^. position @4 -- error: -- • The type Triple does not contain a field at position 4 ``` ### Labels One neat trick we can do - thanks to the generic representation - is get the names of the fields into the functor we're using. The `label` value gives us this interface: ```haskell eg18 :: Labels User eg18 = label -- User -- { name = Const "name" -- , age = Const "age" -- , likesDogs = Const "likesDogs" -- } ``` By combining this with some of the [Barbies](https://hackage.haskell.org/package/barbies) interface (the entirety of which is available to any `HKD`-wrapped type) such as `bprod` and `bmap`, we can implement functions such as `labelsWhere`, which returns the names of all fields whose values satisfy some predicate: ```haskell eg19 :: [String] eg19 = labelsWhere (isNothing . getLast) eg12 -- ["age"] ``` ### Documentation All the docs in this library are tested on `cabal new-test`. Furthermore, this README is tested by `markdown-unlit`. To keep _that_ happy, we do need a `main` in this file, so just ignore the following :) ```haskell main :: IO () main = pure () ```