X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?a=blobdiff_plain;f=code%2Fcalculator%2Fcalc2.ml;fp=code%2Fcalculator%2Fcalc2.ml;h=9db0dea61123e1e5da5e58b36f67857b963dc081;hb=12c7bba12e14ab2e1ea72a4b95f1aee0c114a188;hp=0000000000000000000000000000000000000000;hpb=2cef07bcbf221a75e0cf0da553be6566a206d68f;p=lambda.git diff --git a/code/calculator/calc2.ml b/code/calculator/calc2.ml new file mode 100644 index 00000000..9db0dea6 --- /dev/null +++ b/code/calculator/calc2.ml @@ -0,0 +1,68 @@ +(* calc1.ml, enhanced with Function Values *) + + type term = + Intconstant of int + | Multiplication of (term * term) + | Addition of (term * term) + | Variable of char + | Let of (char * term * term) + | Iszero of term + | If of (term * term * term) + | Makepair of (term * term) + | First of term + | Lambda of (char * term) + | Apply of (term * term) + ;; + + type bound_value = expressed_value + and assignment = (char * bound_value) list + and expressed_value = Int of int | Bool of bool | Pair of expressed_value * expressed_value | Closure of char * term * assignment;; + + let rec eval (t : term) (g : assignment) = match t with + Intconstant x -> Int x + | Multiplication (t1, t2) -> + (* we don't handle cases where the subterms don't evaluate to Ints *) + let Int i1 = eval t1 g + in let Int i2 = eval t2 g + (* Multiplication (t1, t2) should evaluate to an Int *) + in Int (i1 * i2) + | Addition (t1, t2) -> + let Int i1 = eval t1 g + in let Int i2 = eval t2 g + in Int (i1 + i2) + | Variable (var) -> + (* we don't handle cases where g doesn't bind var to any value *) + List.assoc var g + | Let (var_to_bind, t2, t3) -> + (* evaluate t3 under a new assignment where var_to_bind has been bound to + the result of evaluating t1 under the current assignment *) + let value2 = eval t2 g + in let g' = (var_to_bind, value2) :: g + in eval t3 g' + | Iszero (t1) -> + (* we don't handle cases where t1 doesn't evaluate to an Int *) + let Int i1 = eval t1 g + (* Iszero t1 should evaluate to a Bool *) + in Bool (i1 = 0) + | If (t1, t2, t3) -> + (* we don't handle cases where t1 doesn't evaluate to a boolean *) + let Bool b1 = eval t1 g + in if b1 then eval t2 g + else eval t3 g + | Makepair (t1, t2) -> + let value1 = eval t1 g + in let value2 = eval t2 g + in Pair (value1, value2) + | First (t1) -> + (* we don't handle cases where t1 doesn't evaluate to a Pair *) + let Pair (value1, value2) = eval t1 g + in value1 + | Lambda (arg_var, t2) -> Closure (arg_var, t2, g) + | Apply (t1, t2) -> + (* we don't handle cases where t1 doesn't evaluate to a function value *) + let Closure (arg_var, body, savedg) = eval t1 g + in let value2 = eval t2 g + (* evaluate body under savedg, except with arg_var bound to value2 *) + in let savedg' = (arg_var, value2) :: savedg + in eval body savedg' + ;;