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newt/port/Lib/Erasure.newt

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module Lib.Erasure
import Prelude
import Lib.Common
import Lib.Types
import Data.SnocList
import Lib.TopContext
EEnv : U
EEnv = List (String × Quant × Maybe Tm)
-- TODO look into removing Nothing below, can we recover all of the types?
-- Idris does this in `chk` for linearity checking.
-- check App at type
getType : Tm -> M (Maybe Tm)
getType (Ref fc nm) = do
top <- get
case lookup nm top of
Nothing => error fc "\{show nm} not in scope"
(Just (MkEntry _ name type def)) => pure $ Just type
getType tm = pure Nothing
erase : EEnv -> Tm -> List (FC × Tm) -> M Tm
-- App a spine using type
eraseSpine : EEnv -> Tm -> List (FC × Tm) -> (ty : Maybe Tm) -> M Tm
eraseSpine env tm Nil _ = pure tm
eraseSpine env t ((fc, arg) :: args) (Just (Pi fc1 str icit Zero a b)) = do
let u = Erased (getFC arg)
eraseSpine env (App fc t u) args (Just b)
eraseSpine env t ((fc, arg) :: args) (Just (Pi fc1 str icit Many a b)) = do
u <- erase env arg Nil
-- TODO this seems wrong, we need to subst u into b to get the type
eraseSpine env (App fc t u) args (Just b)
-- eraseSpine env t ((fc, arg) :: args) (Just ty) = do
-- error fc "ceci n'est pas une ∏ \{showTm ty}" -- e.g. Bnd 1
eraseSpine env t ((fc, arg) :: args) _ = do
u <- erase env arg Nil
eraseSpine env (App fc t u) args Nothing
doAlt : EEnv -> CaseAlt -> M CaseAlt
-- REVIEW do we extend env?
doAlt env (CaseDefault t) = CaseDefault <$> erase env t Nil
doAlt env (CaseCons name args t) = do
top <- get
let (Just (MkEntry _ str type def)) = lookup name top
| _ => error emptyFC "\{show name} dcon missing from context"
let env' = piEnv env type args
CaseCons name args <$> erase env' t Nil
where
piEnv : EEnv -> Tm -> List String -> EEnv
piEnv env (Pi fc nm icit rig t u) (arg :: args) = piEnv ((arg, rig, Just t) :: env) u args
piEnv env _ _ = env
doAlt env (CaseLit lit t) = CaseLit lit <$> erase env t Nil
-- Check erasure and insert "Erased" value
-- We have a solution for Erased values, so important thing here is checking.
-- build stack, see what to do when we hit a non-app
-- This is a little fuzzy because we don't have all of the types.
erase env t sp = case t of
(App fc u v) => erase env u ((fc,v) :: sp)
(Ref fc nm) => do
top <- get
case lookup nm top of
Nothing => error fc "\{show nm} not in scope"
(Just (MkEntry _ name type def)) => eraseSpine env t sp (Just type)
(Lam fc nm icit rig u) => Lam fc nm icit rig <$> erase ((nm, rig, Nothing) :: env) u Nil
-- If we get here, we're looking at a runtime pi type
(Pi fc nm icit rig u v) => do
u' <- erase env u Nil
v' <- erase ((nm, Many, Just u) :: env) v Nil
eraseSpine env (Pi fc nm icit rig u' v') sp (Just $ UU emptyFC)
-- leaving as-is for now, we don't know the quantity of the apps
(Meta fc k) => pure t
(Case fc u alts) => do
-- REVIEW check if this pushes to env, and write that down or get an index on there
u' <- erase env u Nil
alts' <- traverse (doAlt env) alts
eraseSpine env (Case fc u' alts') sp Nothing
(Let fc nm u v) => do
u' <- erase env u Nil
v' <- erase ((nm, Many, Nothing) :: env) v Nil
eraseSpine env (Let fc nm u' v') sp Nothing
(LetRec fc nm ty u v) => do
u' <- erase ((nm, Many, Just ty) :: env) u Nil
v' <- erase ((nm, Many, Just ty) :: env) v Nil
eraseSpine env (LetRec fc nm ty u' v') sp Nothing
(Bnd fc k) => do
case getAt (cast k) env of
Nothing => error fc "bad index \{show k}"
-- This is working, but empty FC
Just (nm, Zero, ty) => error fc "used erased value \{show nm} (FIXME FC may be wrong here)"
Just (nm, Many, ty) => eraseSpine env t sp ty
(UU fc) => eraseSpine env t sp (Just $ UU fc)
(Lit fc lit) => eraseSpine env t sp Nothing
Erased fc => error fc "erased value in relevant context" -- eraseSpine env t sp Nothing