{-# LANGUAGE UndecidableInstances #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
{-# OPTIONS_GHC -fconstraint-solver-iterations=6 #-}
-- | Symantic for 'Integer'.
module Language.Symantic.Compiling.Integer where

import Data.Proxy
import Data.Text (Text)
import qualified Data.Text as Text
import Data.Type.Equality ((:~:)(Refl))

import Language.Symantic.Parsing
import Language.Symantic.Typing
import Language.Symantic.Compiling.Term
import Language.Symantic.Interpreting
import Language.Symantic.Transforming.Trans

-- * Class 'Sym_Integer'
class Sym_Integer term where
	integer :: Integer -> term Integer
	default integer :: Trans t term => Integer -> t term Integer
	integer = trans_lift . integer

type instance Sym_of_Iface (Proxy Integer) = Sym_Integer
type instance Consts_of_Iface (Proxy Integer) = Proxy Integer ': Consts_imported_by Integer
type instance Consts_imported_by Integer =
 [ Proxy Enum
 , Proxy Eq
 , Proxy Integral
 , Proxy Num
 , Proxy Ord
 , Proxy Real
 , Proxy Show
 ]

instance Sym_Integer HostI where
	integer = HostI
instance Sym_Integer TextI where
	integer a = TextI $ \_p _v ->
		Text.pack (show a)
instance (Sym_Integer r1, Sym_Integer r2) => Sym_Integer (DupI r1 r2) where
	integer x = integer x `DupI` integer x

instance Const_from Text cs => Const_from Text (Proxy Integer ': cs) where
	const_from "Integer" k = k (ConstZ kind)
	const_from s k = const_from s $ k . ConstS
instance Show_Const cs => Show_Const (Proxy Integer ': cs) where
	show_const ConstZ{} = "Integer"
	show_const (ConstS c) = show_const c

instance -- Proj_ConC
 ( Proj_Const cs Integer
 , Proj_Consts cs (Consts_imported_by Integer)
 ) => Proj_ConC cs (Proxy Integer) where
	proj_conC _ (TyConst q :$ TyConst c)
	 | Just Refl <- eq_skind (kind_of_const c) SKiType
	 , Just Refl <- proj_const c (Proxy::Proxy Integer)
	 = case () of
		 _ | Just Refl <- proj_const q (Proxy::Proxy Enum)     -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Eq)       -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Integral) -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Num)      -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Ord)      -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Real)     -> Just Con
		   | Just Refl <- proj_const q (Proxy::Proxy Show)     -> Just Con
		 _ -> Nothing
	proj_conC _c _q = Nothing
data instance TokenT meta (ts::[*]) (Proxy Integer)
 = Token_Term_Integer Integer
deriving instance Eq_Token meta ts => Eq (TokenT meta ts (Proxy Integer))
deriving instance Show_Token meta ts => Show (TokenT meta ts (Proxy Integer))
instance -- Term_fromI
 Inj_Const (Consts_of_Ifaces is) Integer =>
 Term_fromI is (Proxy Integer) where
	term_fromI tok _ctx k =
		case tok of
		 Token_Term_Integer i -> k (ty @Integer) $ TermLC $ \_c -> integer i