X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=code%2Funtyped_evaluator.ml;h=92efa6ea1d9522c0ad1605825995643fd3bbbc02;hp=7af3eb43424db407a1bf24720841dbe67378efc1;hb=1666d4c9858609dd1c32d7ab7aff976debe73cf7;hpb=45bfd0c44c531bd94e00b5a11285691c48062157 diff --git a/code/untyped_evaluator.ml b/code/untyped_evaluator.ml index 7af3eb43..92efa6ea 100644 --- a/code/untyped_evaluator.ml +++ b/code/untyped_evaluator.ml @@ -2,7 +2,7 @@ This is a simplified version of the code at ... You can use this code as follows: - 1. First, use a text editor to fill in the (* COMPLETE THIS *) portions + 1. First, use a text editor to fill in the (* COMPLETE THIS *) portions. 2. Then see if OCaml will compile it, by typing `ocamlc -c untyped_evaluator.ml` in a Terminal. 3. If it doesn't work, go back to step 1. 4. If it does work, then you can start up the OCaml toplevel using `ocaml -I DIRECTORY`, @@ -15,9 +15,29 @@ `reduce (App(Lambda("x",Var "x"),Lambda("y",Var "y")))` `evaluate (App(Lambda("x",Var "x"),Lambda("y",Var "y")))` - The environments play absolutely no role in this simplified V1 interpreter. In the - fuller code, they have a limited role in the V1 interpreter. In the V2 interpreter, - the environments are essential. + The two interpreters presented below are (V1) a substitute-and-replace + interpreter, and (V2) an environment-based interpreter. We discuss the + differences between these in the notes. + + The implementeations we provide make both of these call-by-value. When given + a term `App(head, arg)`, the steps are: first, reduce or evaluate + `head`---it might involve further `App`s itself. Second, reduce or evaluate + `arg`. Third, only _when_ `arg` reduces or evaluates to a result value, then + "perform" the application. What this last step amounts to is different in + the two interpreters. Call-by-name interpreters would "perform" the + application regardless, and without even trying to reduce or evaluate arg to + a result value beforehand. + + Additionally, these implementations assume that free variables are "stuck" + terms rather than result values. That is a bit inconvenient with this + simplified program: it means that Lambdas (or Closures, in V2) are the only + result values. But in the fuller code from which this is simplified, it + makes more sense, because there we also have literal number and boolean + values as results, too. + + The environments play absolutely no role in the simplified V1 interpreter + presented here. In the fuller code, they have a limited role in the V1 + interpreter. In the V2 interpreter, the environments are essential. *) type identifier = string @@ -36,16 +56,16 @@ and result = term (* This simplified code just provides a single implementation of environments; but the fuller code provides more. *) -and env = identifier -> term option +and env = (identifier * term) list (* Operations for environments *) -let empty = fun _ -> None -let push (ident : identifier) binding env = - fun (sought_ident : identifier) -> - if ident = sought_ident - then Some binding - else env sought_ident -let lookup sought_ident env = env sought_ident +let empty = [] +let shift (ident : identifier) binding env = (ident,binding) :: env +let rec lookup (sought_ident : ident) (env : env) : term option = + match env with + | [] -> None + | (ident, binding) :: _ when ident = sought_ident -> Some binding + | _ :: env' -> lookup sought_ident env' (* @@ -247,8 +267,9 @@ module V2 = struct | Var var -> (match lookup var env with - (* Free variables will never be pushed to the env, so we can be - sure this is a result. *) CHECK + (* In this call-by-value design, only results get + saved in the environment, so we can be sure this + is a result. *) | Some res -> res | None -> failwith ("Unbound variable `" ^ var ^ "`"))