ivo/src/LambdaCalculus/Expression.hs

34 lines
1.1 KiB
Haskell

module LambdaCalculus.Expression
( Expr (..), ExprF (..), DefF (..), VoidF, Text
, Eval, EvalExpr, EvalX, EvalXF (..), Identity (..)
, pattern AppFE, pattern Cont, pattern ContF
, Parse, AST, ASTF, NonEmptyDefFs (..), NonEmpty (..), simplify
, pattern LetFP
, ast2eval, eval2ast
) where
import LambdaCalculus.Evaluator.Base
import LambdaCalculus.Syntax.Base
import Data.Functor.Foldable (cata, hoist)
import Data.List (foldl')
import Data.List.NonEmpty (toList)
-- | Convert from an abstract syntax tree to an evaluator expression.
ast2eval :: AST -> EvalExpr
ast2eval = cata \case
VarF name -> Var name
AppF ef exs -> foldl' App ef $ toList exs
AbsF ns e -> foldr Abs e $ toList ns
LetF ds e ->
let letExpr name val body' = App (Abs name body') val
in foldr (uncurry letExpr) e $ getNonEmptyDefFs ds
-- | Convert from an evaluator expression to an abstract syntax tree.
eval2ast :: EvalExpr -> AST
eval2ast = hoist \case
VarF name -> VarF name
AppFE ef ex -> AppF ef (ex :| [])
AbsF n e -> AbsF (n :| []) e
ContF e -> AbsF ("!" :| []) e