X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=code%2Fcalculator%2Fcalc7.ml;h=6fc6338d9ccc6edfcd699739d355318261ecac7b;hp=5bfba3853f05be05a3058b163241dba6d9d56f51;hb=060198e29e2a13552ee64c1e489eea555c8b1cae;hpb=bd90f2eb8b87c2f44169fe209c5e35dd113c3d21 diff --git a/code/calculator/calc7.ml b/code/calculator/calc7.ml index 5bfba385..6fc6338d 100644 --- a/code/calculator/calc7.ml +++ b/code/calculator/calc7.ml @@ -1,6 +1,6 @@ (* calc6.ml, enhanced with Aliases and Passing by Reference *) - type term = + type term = Intconstant of int | Multiplication of (term * term) | Addition of (term * term) @@ -18,107 +18,107 @@ | Applyalias of (term * char) ;; - type index = int;; + type index = int;; type bound_value = index;; type assignment = (char * bound_value) list;; - type expressed_value = Int of int | Bool of bool | Pair of expressed_value * expressed_value | Closure of char * term * assignment;; + type expressed_value = Int of int | Bool of bool | Pair of expressed_value * expressed_value | 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 *) + 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 *) let index = List.assoc var g (* get value stored at location index in s *) in let value = List.nth s index in (value, s) - | Let (var_to_bind, t2, t3) -> - let (value2, s') = eval t2 g s - (* note that s' may be different from s, if t2 itself contained any mutation operations *) + | Let (var_to_bind, t2, t3) -> + let (value2, s') = eval t2 g s + (* note that s' may be different from s, if t2 itself contained any mutation operations *) (* get next free index in s' *) - in let new_index = List.length s' - (* now we want to insert value2 there; the following is an easy but inefficient way to do it *) - in let s'' = List.append s' [value2] + in let new_index = List.length s' + (* now we want to insert value2 there; the following is an easy but inefficient way to do it *) + in let s'' = List.append s' [value2] (* bind var_to_bind to location new_index in the store *) in let g' = ((var_to_bind, new_index) :: 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 + | 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 (Pair (value1, value2), s'') - | First (t1) -> - (* we don't handle cases where t1 doesn't evaluate to a Pair *) - let (Pair (value1, value2), s') = eval t1 g s - in (value1, 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 a new location containing value2 *) + 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 (Pair (value1, value2), s'') + | First (t1) -> + (* we don't handle cases where t1 doesn't evaluate to a Pair *) + let (Pair (value1, value2), s') = eval t1 g s + in (value1, 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 a new location containing value2 *) in let new_index = List.length s'' in let s''' = List.append s'' [value2] - in let savedg' = (arg_var, new_index) :: 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 + in let savedg' = (arg_var, new_index) :: 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 in let new_index = List.length s' in let savedg' = (var_to_bind, new_index) :: savedg in let new_closure = Closure (arg_var, body, savedg') in let s'' = List.append s' [new_closure] in let g' = (var_to_bind, new_index) :: g in eval t3 g' s'' - | Change (var, t2, t3) -> - (* we don't handle cases where g doesn't bind var to any value *) + | Change (var, t2, t3) -> + (* we don't handle cases where g doesn't bind var to any value *) let index = List.assoc var g in let (value2, s') = eval t2 g s - (* note that s' may be different from s, if t2 itself contained any mutation operations *) - (* now we create a list which is just like s' except it has value2 at index *) - in let rec replace_nth lst m = - match lst with - | [] -> failwith "list too short" - | x::xs when m = 0 -> value2 :: xs - | x::xs -> x :: replace_nth xs (m - 1) + (* note that s' may be different from s, if t2 itself contained any mutation operations *) + (* now we create a list which is just like s' except it has value2 at index *) + in let rec replace_nth lst m = + match lst with + | [] -> failwith "list too short" + | x::xs when m = 0 -> value2 :: xs + | x::xs -> x :: replace_nth xs (m - 1) in let s'' = replace_nth s' index (* evaluate t3 using original assignment function and new store *) in eval t3 g s'' - | Alias (var_to_bind, orig_var, t3) -> - (* we don't handle cases where g doesn't bind orig_var to any value *) + | Alias (var_to_bind, orig_var, t3) -> + (* we don't handle cases where g doesn't bind orig_var to any value *) let index = List.assoc orig_var g (* bind var_to_bind to the same index in the store *) in let g' = ((var_to_bind, index) :: g) in eval t3 g' s - | Applyalias (t1, var) -> - (* 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 - (* we don't handle cases where g doesn't bind var to any value *) + | Applyalias (t1, var) -> + (* 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 + (* we don't handle cases where g doesn't bind var to any value *) in let index = List.assoc var g - (* evaluate body under savedg, except with arg_var bound to existing index *) - in let savedg' = (arg_var, index) :: savedg - in eval body savedg' s' + (* evaluate body under savedg, except with arg_var bound to existing index *) + in let savedg' = (arg_var, index) :: savedg + in eval body savedg' s' ;;