(* Original calculator from Week7, enhanced with Booleans and Immutable Pairs *)
- type term =
+ type term =
Intconstant of int
| Multiplication of (term * term)
| Addition of (term * term)
| First of term
;;
- type expressed_value = Int of int | Bool of bool | Pair of expressed_value * expressed_value;;
- type bound_value = expressed_value;;
- type assignment = (char * bound_value) list;;
+ type expressed_value = Int of int | Bool of bool | Pair of expressed_value * expressed_value;;
+ type bound_value = expressed_value;;
+ type assignment = (char * bound_value) list;;
- 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 t2 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
+ 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 t2 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
;;