quox/lib/Quox/Typing.idr

module Quox.Typing

import public Quox.Typing.Context as Typing
import public Quox.Typing.EqMode as Typing
import public Quox.Typing.Error as Typing

import public Quox.Syntax
import public Quox.Definition
import public Quox.Reduce

import Language.Reflection
import Control.Eff

%default total
%language ElabReflection

private TTName : Type
TTName = TT.Name
%hide TT.Name


public export
CheckResult' : Nat -> Type
CheckResult' = QOutput

public export
CheckResult : DimEq d -> Nat -> Type
CheckResult eqs n = IfConsistent eqs $ CheckResult' n

public export
record InferResult' d n where
  constructor InfRes
  type : Term d n
  qout : QOutput n

public export
InferResult : DimEq d -> TermLike
InferResult eqs d n = IfConsistent eqs $ InferResult' d n


export
lookupFree : Has ErrorEff fs => Name -> Loc -> Definitions -> Eff fs Definition
lookupFree x loc defs = maybe (throw $ NotInScope loc x) pure $ lookup x defs


public export
substCasePairRet : BContext 2 -> Term d n -> ScopeTerm d n -> Term d (2 + n)
substCasePairRet [< x, y] dty retty =
  let tm = Pair (BVT 1 x.loc) (BVT 0 y.loc) $ x.loc `extendL` y.loc
      arg = Ann tm (dty // shift 2) tm.loc
  in
  retty.term // (arg ::: shift 2)

public export
substCaseWRet : BContext 3 -> Term d n -> ScopeTerm d n -> Term d (3 + n)
substCaseWRet [< x, y, ih] dty retty =
  let tm = Sup (BVT 2 x.loc) (BVT 1 y.loc) $ x.loc `extendL` y.loc
      arg = Ann tm (dty // shift 3) tm.loc
  in
  sub1 (weakS 3 retty) arg

public export
substCaseSuccRet : BContext 2 -> ScopeTerm d n -> Term d (2 + n)
substCaseSuccRet [< p, ih] retty =
  let arg = Ann (Succ (BVT 1 p.loc) p.loc) (Nat noLoc) $ p.loc `extendL` ih.loc
  in
  retty.term // (arg ::: shift 2)

public export
substCaseBoxRet : BindName -> Term d n -> ScopeTerm d n -> Term d (S n)
substCaseBoxRet x dty retty =
  let arg = Ann (Box (BVT 0 x.loc) x.loc) (weakT 1 dty) x.loc in
  retty.term // (arg ::: shift 1)


parameters (defs : Definitions) {auto _ : (Has ErrorEff fs, Has NameGen fs)}
  namespace TyContext
   parameters (ctx : TyContext d n) (loc : Loc)
    export covering
    whnf : {0 isRedex : RedexTest tm} -> CanWhnf tm isRedex =>
           tm d n -> Eff fs (NonRedex tm d n defs)
    whnf tm = do
      let Val n = ctx.termLen; Val d = ctx.dimLen
      res <- lift $ runExcept $ whnf defs (toWhnfContext ctx) tm
      rethrow res

    private covering %macro
    expect : (forall d, n. Loc -> NameContexts d n -> Term d n -> Error) ->
             TTImp -> TTImp -> Elab (Term d n -> Eff fs a)
    expect k l r = do
      f <- check `(\case ~(l) => Just ~(r); _ => Nothing)
      pure $ \t => maybe (throw $ k loc ctx.names t) pure . f . fst =<< whnf t

    export covering %inline
    expectTYPE : Term d n -> Eff fs Universe
    expectTYPE = expect ExpectedTYPE `(TYPE {l, _}) `(l)

    export covering %inline
    expectPi : Term d n -> Eff fs (Qty, Term d n, ScopeTerm d n)
    expectPi = expect ExpectedPi `(Pi {qty, arg, res, _}) `((qty, arg, res))

    export covering %inline
    expectSig : Term d n -> Eff fs (Term d n, ScopeTerm d n)
    expectSig = expect ExpectedSig `(Sig {fst, snd, _}) `((fst, snd))

    export covering %inline
    expectW : Term d n -> Eff fs (Term d n, ScopeTerm d n)
    expectW = expect ExpectedW `(W {shape, body, _}) `((shape, body))

    export covering %inline
    expectEnum : Term d n -> Eff fs (SortedSet TagVal)
    expectEnum = expect ExpectedEnum `(Enum {cases, _}) `(cases)

    export covering %inline
    expectEq : Term d n -> Eff fs (DScopeTerm d n, Term d n, Term d n)
    expectEq = expect ExpectedEq `(Eq {ty, l, r, _}) `((ty, l, r))

    export covering %inline
    expectNat : Term d n -> Eff fs ()
    expectNat = expect ExpectedNat `(Nat {}) `(())

    export covering %inline
    expectBOX : Term d n -> Eff fs (Qty, Term d n)
    expectBOX = expect ExpectedBOX `(BOX {qty, ty, _}) `((qty, ty))


  namespace EqContext
   parameters (ctx : EqContext n) (loc : Loc)
    export covering
    whnf : {0 isRedex : RedexTest tm} -> CanWhnf tm isRedex =>
           tm 0 n -> Eff fs (NonRedex tm 0 n defs)
    whnf tm = do
      let Val n = ctx.termLen
      res <- lift $ runExcept $ whnf defs (toWhnfContext ctx) tm
      rethrow res

    private covering %macro
    expect : (forall d, n. Loc -> NameContexts d n -> Term d n -> Error) ->
             TTImp -> TTImp -> Elab (Term 0 n -> Eff fs a)
    expect k l r = do
      f <- check `(\case ~(l) => Just ~(r); _ => Nothing)
      pure $ \t =>
        let err = throw $ k loc ctx.names (t // shift0 ctx.dimLen) in
        maybe err pure . f . fst =<< whnf t

    export covering %inline
    expectTYPE : Term 0 n -> Eff fs Universe
    expectTYPE = expect ExpectedTYPE `(TYPE {l, _}) `(l)

    export covering %inline
    expectPi : Term 0 n -> Eff fs (Qty, Term 0 n, ScopeTerm 0 n)
    expectPi = expect ExpectedPi `(Pi {qty, arg, res, _}) `((qty, arg, res))

    export covering %inline
    expectSig : Term 0 n -> Eff fs (Term 0 n, ScopeTerm 0 n)
    expectSig = expect ExpectedSig `(Sig {fst, snd, _}) `((fst, snd))

    export covering %inline
    expectW : Term 0 n -> Eff fs (Term 0 n, ScopeTerm 0 n)
    expectW = expect ExpectedW `(W {shape, body, _}) `((shape, body))

    export covering %inline
    expectEnum : Term 0 n -> Eff fs (SortedSet TagVal)
    expectEnum = expect ExpectedEnum `(Enum {cases, _}) `(cases)

    export covering %inline
    expectEq : Term 0 n -> Eff fs (DScopeTerm 0 n, Term 0 n, Term 0 n)
    expectEq = expect ExpectedEq `(Eq {ty, l, r, _}) `((ty, l, r))

    export covering %inline
    expectNat : Term 0 n -> Eff fs ()
    expectNat = expect ExpectedNat `(Nat {}) `(())

    export covering %inline
    expectBOX : Term 0 n -> Eff fs (Qty, Term 0 n)
    expectBOX = expect ExpectedBOX `(BOX {qty, ty, _}) `((qty, ty))