module Quox.Syntax.Term.TyConKind

import Decidable.Equality
import Derive.Prelude
import Generics.Derive

%language ElabReflection
%default total


public export
data TyConKind = KTYPE | KPi | KSig | KEnum | KEq | KNat | KBOX
%name TyConKind k
%runElab derive "TyConKind" [Eq.Eq, Ord.Ord, Show.Show, Generic, Meta, DecEq]

||| a list of all `TyConKind`s
public export %inline
allKinds : List TyConKind
allKinds = %runElab do
  -- as a script so it stays up to date if there are more tycon kinds
  cs <- getCons $ fst !(lookupName "TyConKind")
  traverse (check . var) cs


||| in `type-case`, how many variables are bound in this branch
public export %inline
arity : TyConKind -> Nat
arity KTYPE = 0
arity KPi   = 2
arity KSig  = 2
arity KEnum = 0
arity KEq   = 5
arity KNat  = 0
arity KBOX  = 1