module DeriveShow import Deriving.Show %language ElabReflection %default covering %logging "derive.show.clauses" 1 %logging "derive.show.assumption" 10 namespace Enum data Enum = A | B | C enumShow : Show Enum enumShow = %runElab derive namespace Sum data Sum : Type where AString : String -> Sum ANat : Nat -> Sum sumShow : Show Sum sumShow = %runElab derive list : Show a => Show (List a) list = %runElab derive maybe : Show a => Show (Maybe a) maybe = %runElab derive either : (Show err, Show a) => Show (Either err a) either = %runElab derive namespace Constant record Constant (a, b : Type) where constructor MkConstant runConstant : a constant : Show a => Show (Constant a b) constant = %runElab derive namespace Vect public export data Vect : Nat -> Type -> Type where Nil : Vect Z a (::) : a -> Vect n a -> Vect (S n) a export %hint total vect : Show a => Show (Vect n a) vect = %runElab derive namespace BigTree data BigTree a = End a | Branch String (List a) (Bool -> BigTree a) | Rose (List (BigTree a)) failing "Unsupported type" bigTree : Show a => Show (BigTree a) bigTree = %runElab derive namespace Matrix record Matrix m n a where constructor MkMatrix runMatrix : Vect m (Vect n a) total matrix : Show a => Show (Matrix m n a) matrix = %runElab derive namespace Tm public export data Op : Nat -> Type where Neg : Op 1 Add : Op 2 %hint op : Show (Op n) op = %runElab derive public export data Tm : Type -> Type where Var : a -> Tm a Call : Op n -> Vect n (Tm a) -> Tm a Lam : Tm (Maybe a) -> Tm a public export total %hint tm : Show a => Show (Tm a) tm = %runElab derive namespace Forest data Tree : Type -> Type data Forest : Type -> Type data Tree : Type -> Type where Leaf : a -> Tree a Node : Forest a -> Tree a data Forest : Type -> Type where Empty : Forest a Plant : Tree a -> Forest a -> Forest a %hint total tree : Show a => Show (Tree a) %hint total forest : Show a => Show (Forest a) tree = %runElab derive {mutualWith = [`{Forest}]} forest = %runElab derive {mutualWith = [`{Tree}]} namespace List1 data List1 : Type -> Type where MkList1 : (a, Maybe (List1 a)) -> List1 a total %hint list1 : Show a => Show (List1 a) list1 = %runElab derive namespace Full data Full a = Leaf a | Node (Full (a, a)) total %hint full : Show a => Show (Full a) full = %runElab derive failing "Unsupported type" data NOT : Type -> Type where MkNOT : (a -> Void) -> NOT a total negative : Show a => Show (NOT a) negative = %runElab derive namespace Colist data Colist a = Nil | (::) a (Inf (Colist a)) failing "Cannot show an infinite structure" total colist : Show a => Show (Colist a) colist = %runElab derive namespace LAZY record LAZY (a : Type) where constructor MkLAZY wrapped : Lazy a total lazy : Show a => Show (LAZY a) lazy = %runElab derive namespace Implicit data IVect : {n : Nat} -> (a : Type) -> Type where MkIVect : (v : Vect n a) -> IVect {n} a ivect : {m : Nat} -> Show a => Show (IVect {n = m} a) ivect = %runElab derive namespace EqMap data EqMap : (key : Type) -> Eq key => (val : Type) -> Type where MkEqMap : (eq : Eq key) => List (key, val) -> EqMap key @{eq} val empty : Eq key => EqMap key val empty = MkEqMap [] insert : (eq : Eq key) => key -> val -> EqMap key @{eq} val -> EqMap key @{eq} val insert k v (MkEqMap kvs) = MkEqMap ((k, v) :: filter ((k /=) . fst) kvs) fromList : Eq key => List (key, val) -> EqMap key val fromList = foldr (uncurry insert) empty toList : EqMap key @{eq} val -> List (key, val) toList (MkEqMap kvs) = kvs test : EqMap.toList (fromList [(1,2), (1,3), (2, 4), (5, 3), (1, 0)]) === [(1,2), (2, 4), (5, 3)] test = Refl eqMap : (eq : Eq key) => Show key => Show val => Show (EqMap key @{eq} val) eqMap = %runElab derive