remove Eval.idr which is no good
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module Quox.Eval
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-- todo list:
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-- - understand nbe and use it
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-- - take a proof of well-typedness as an argument,
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-- to reduce the number of eithers
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-- - remove the either if possible (should be???)
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import Quox.Syntax
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import Quox.Context
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import Data.DPair
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import Data.SortedMap
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%default total
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public export
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record Global where
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constructor G
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val : forall d, n. NotCloElim d n
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public export Globals : Type
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Globals = SortedMap Name Global
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export (!!) : Globals -> Name -> Maybe (Elim d n)
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gs !! x = map (\g => g.val.fst) $ lookup x gs
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-- just `map (fst . val)` fails?
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mutual
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public export isValue : Term d n -> Bool
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isValue (TYPE {}) = True
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isValue (Pi {arg, res, _}) = isValue arg && isValue res
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isValue (Lam {body, _}) = isValue body
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isValue (E e) = isNeutral e
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isValue (CloT {}) = False
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isValue (DCloT {}) = False
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public export isNeutral : Elim d n -> Bool
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isNeutral (F {}) = False
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isNeutral (B {}) = True
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isNeutral (fun :@ arg) = isNeutral fun && isValue arg
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isNeutral (_ :# _) = False
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isNeutral (CloE {}) = False
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isNeutral (DCloE {}) = False
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public export IsValue : Term d n -> Type
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IsValue = So . isValue
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public export IsNeutral : Elim d n -> Type
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IsNeutral = So . isNeutral
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public export Value : Nat -> Nat -> Type
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Value d n = Subset (Term d n) IsValue
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public export Neutral : Nat -> Nat -> Type
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Neutral d n = Subset (Elim d n) IsNeutral
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public export valT : (t : Term d n) -> (0 _ : IsValue t) => Value d n
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valT t = Element t %search
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public export neuE : (e : Elim d n) -> (0 _ : IsNeutral e) => Neutral d n
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neuE e = Element e %search
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data EvalError =
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NotInScope Name
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| NonFunction SomeElim
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parameters (globals : Globals)
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mutual
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export covering %inline
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evalT : Term d n -> Either EvalError (Value d n)
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evalT = uncurry evalT' . pushSubstsT
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export covering %inline
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evalE : Elim d n -> Either EvalError (Neutral d n)
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evalE = uncurry evalE' . pushSubstsE
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export covering
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evalT' : (t : Term d n) -> (0 prf : IsNotCloT t) ->
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Either EvalError (Value d n)
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export covering
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evalE' : (e : Elim d n) -> (0 prf : IsNotCloE e) ->
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Either EvalError (Neutral d n)
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public export
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data AlphaResult =
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Ok
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| Clash SomeTerm SomeTerm
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| DClash SomeDim SomeDim
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| QClash Qty Qty
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export
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Semigroup AlphaResult where
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Ok <+> res = res
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res <+> _ = res
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export Monoid AlphaResult where neutral = Ok
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private %inline clash : Term d1 n1 -> Term d2 n2 -> AlphaResult
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clash s t = Clash (some2 s) (some2 t)
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||| check two quantities are exactly equal and fail if not
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export %inline
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alphaQ : (pi, rh : Qty) -> AlphaResult
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alphaQ pi rh = if pi == rh then Ok else QClash pi rh
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export %inline
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alphaD : (al, be : Dim d) -> AlphaResult
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alphaD al be = if al == be then Ok else DClash (some al) (some be)
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mutual
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private
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alphaT : (s, t : Term d n) -> AlphaResult
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private
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alphaE : (e, f : Elim d n) -> AlphaResult
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export %inline alphaV : (u, v : Value d n) -> AlphaResult
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alphaV u v = alphaT u.fst v.fst
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export %inline alphaN : (p, q : Neutral d n) -> AlphaResult
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alphaN p q = alphaE p.fst q.fst
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