X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=code%2Fcalculator%2Fcalc5.ml;h=593f296beb805553ab85e636f43e4b99fec06544;hp=bfc91d9ff66bc7fb889d8cf00ba3847855d4c91f;hb=060198e29e2a13552ee64c1e489eea555c8b1cae;hpb=bd90f2eb8b87c2f44169fe209c5e35dd113c3d21 diff --git a/code/calculator/calc5.ml b/code/calculator/calc5.ml index bfc91d9f..593f296b 100644 --- a/code/calculator/calc5.ml +++ b/code/calculator/calc5.ml @@ -1,6 +1,6 @@ (* calc3,ml, enhanced with Mutable Pairs *) - type term = + type term = Intconstant of int | Multiplication of (term * term) | Addition of (term * term) @@ -16,90 +16,90 @@ | Setfirst of (term * term) ;; - type index = int;; + type index = int;; type bound_value = Nonrecursive of expressed_value | Recursive_Closure of char * char * term * assignment - and assignment = (char * bound_value) list + and assignment = (char * bound_value) list and expressed_value = Int of int | Bool of bool | Pair of index * index | Closure of char * term * assignment;; - type store = expressed_value list;; + type store = expressed_value list;; - let rec eval (t : term) (g : assignment) (s : store) = match t with - Intconstant x -> (Int x, s) - | Multiplication (t1, t2) -> - (* we don't handle cases where the subterms don't evaluate to Ints *) - let (Int i1, s') = eval t1 g s - in let (Int i2, s'') = eval t2 g s' - (* Multiplication (t1, t2) should evaluate to an Int *) - in (Int (i1 * i2), s'') - | Addition (t1, t2) -> - let (Int i1, s') = eval t1 g s - in let (Int i2, s'') = eval t2 g s' - in (Int (i1 + i2), s'') - | Variable (var) -> ( - (* we don't handle cases where g doesn't bind var to any value *) - match List.assoc var g with + let rec eval (t : term) (g : assignment) (s : store) = match t with + Intconstant x -> (Int x, s) + | Multiplication (t1, t2) -> + (* we don't handle cases where the subterms don't evaluate to Ints *) + let (Int i1, s') = eval t1 g s + in let (Int i2, s'') = eval t2 g s' + (* Multiplication (t1, t2) should evaluate to an Int *) + in (Int (i1 * i2), s'') + | Addition (t1, t2) -> + let (Int i1, s') = eval t1 g s + in let (Int i2, s'') = eval t2 g s' + in (Int (i1 + i2), s'') + | Variable (var) -> (( + (* we don't handle cases where g doesn't bind var to any value *) + match List.assoc var g with | Nonrecursive value -> value | Recursive_Closure (self_var, arg_var, body, savedg) as rec_closure -> - (* we update savedg to bind self_var to rec_closure here *) + (* we update savedg to bind self_var to rec_closure here *) let savedg' = (self_var, rec_closure) :: savedg in Closure (arg_var, body, savedg') - ), s - | Let (var_to_bind, t2, t3) -> - (* evaluate t3 under a new assignment where var_to_bind has been bound to + ), s) + | Let (var_to_bind, t2, t3) -> + (* evaluate t3 under a new assignment where var_to_bind has been bound to the result of evaluating t2 under the current assignment *) - let (value2, s') = eval t2 g s - (* we have to wrap value2 in Nonrecursive *) - in let g' = (var_to_bind, Nonrecursive value2) :: g - in eval t3 g' s' - | Iszero (t1) -> - (* we don't handle cases where t1 doesn't evaluate to an Int *) - let (Int i1, s') = eval t1 g s - (* Iszero t1 should evaluate to a Bool *) - in (Bool (i1 = 0), s') - | If (t1, t2, t3) -> - (* we don't handle cases where t1 doesn't evaluate to a boolean *) - let (Bool b1, s') = eval t1 g s + let (value2, s') = eval t2 g s + (* we have to wrap value2 in Nonrecursive *) + in let g' = (var_to_bind, Nonrecursive value2) :: g + in eval t3 g' s' + | Iszero (t1) -> + (* we don't handle cases where t1 doesn't evaluate to an Int *) + let (Int i1, s') = eval t1 g s + (* Iszero t1 should evaluate to a Bool *) + in (Bool (i1 = 0), s') + | If (t1, t2, t3) -> + (* we don't handle cases where t1 doesn't evaluate to a boolean *) + let (Bool b1, s') = eval t1 g s (* note we thread s' through only one of the then/else clauses *) - in if b1 then eval t2 g s' - else eval t3 g s' - | Makepair (t1, t2) -> - let (value1, s') = eval t1 g s - in let (value2, s'') = eval t2 g s' + in if b1 then eval t2 g s' + else eval t3 g s' + | Makepair (t1, t2) -> + let (value1, s') = eval t1 g s + in let (value2, s'') = eval t2 g s' (* now we want to retrieve the next free index in s'' *) in let new_index = List.length s'' (* now we want to insert value1 and value2 there; the following is an easy but inefficient way to do it *) in let s''' = List.append s'' [value1; value2] - in (Pair (new_index, new_index + 1), s''') - | First (t1) -> - (* we don't handle cases where t1 doesn't evaluate to a Pair *) - let (Pair (index1, index2), s') = eval t1 g s + in (Pair (new_index, new_index + 1), s''') + | First (t1) -> + (* we don't handle cases where t1 doesn't evaluate to a Pair *) + let (Pair (index1, index2), s') = eval t1 g s (* note that s' may be different from s, if t1 itself contained any mutation operations *) in (List.nth s' index1, s') - | Lambda (arg_var, t2) -> (Closure (arg_var, t2, g), s) - | Apply (t1, t2) -> - (* we don't handle cases where t1 doesn't evaluate to a function value *) - let (Closure (arg_var, body, savedg), s') = eval t1 g s - in let (value2, s'') = eval t2 g s' - (* evaluate body under savedg, except with arg_var bound to Nonrecursive value2 *) - in let savedg' = (arg_var, Nonrecursive value2) :: savedg - in eval body savedg' s'' - | Letrec (var_to_bind, t2, t3) -> - (* we don't handle cases where t2 doesn't evaluate to a function value *) - let (Closure (arg_var, body, savedg), s') = eval t2 g s + | Lambda (arg_var, t2) -> (Closure (arg_var, t2, g), s) + | Apply (t1, t2) -> + (* we don't handle cases where t1 doesn't evaluate to a function value *) + let (Closure (arg_var, body, savedg), s') = eval t1 g s + in let (value2, s'') = eval t2 g s' + (* evaluate body under savedg, except with arg_var bound to Nonrecursive value2 *) + in let savedg' = (arg_var, Nonrecursive value2) :: savedg + in eval body savedg' s'' + | Letrec (var_to_bind, t2, t3) -> + (* we don't handle cases where t2 doesn't evaluate to a function value *) + let (Closure (arg_var, body, savedg), s') = eval t2 g s (* evaluate t3 under a new assignment where var_to_bind has been recursively bound to that function value *) - in let g' = (var_to_bind, Recursive_Closure (var_to_bind, arg_var, body, savedg)) :: g - in eval t3 g' s' + in let g' = (var_to_bind, Recursive_Closure (var_to_bind, arg_var, body, savedg)) :: g + in eval t3 g' s' | Setfirst (t1, t2) -> (* we don't handle cases where t1 doesn't evaluate to a Pair *) let (Pair (index1, index2), s') = eval t1 g s (* note that s' may be different from s, if t1 itself contained any mutation operations *) - in let (new_value, s'') = eval t2 g s' - (* now we create a list which is just like s'' except it has new_value in index1 *) + in let (value2, s'') = eval t2 g s' + (* now we create a list which is just like s'' except it has value2 in index1 *) in let rec replace_nth lst m = match lst with | [] -> failwith "list too short" - | x::xs when m = 0 -> new_value :: xs + | x::xs when m = 0 -> value2 :: xs | x::xs -> x :: replace_nth xs (m - 1) in let s''' = replace_nth s'' index1 in (Int 42, s''')