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examples.txt
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examples.txt
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type expr =
| Plus of expr * expr
| Minus of expr * expr
| Times of expr * expr
| Divide of expr * expr
| Value of string;;
let rec to_string e =
match e with
| Plus (left, right) ->
"(" ^ to_string left ^ " + " ^ to_string right ^ ")"
| Minus (left, right) ->
"(" ^ to_string left ^ " - " ^ to_string right ^ ")"
| Times (left, right) ->
"(" ^ to_string left ^ " * " ^ to_string right ^ ")"
| Divide (left, right) ->
"(" ^ to_string left ^ " / " ^ to_string right ^ ")"
| Value v -> v;;
let print_expr e =
print_endline (to_string e);;
print_expr (Times (Value "n", Plus (Value "x", Value "y")));;
let rec multiply_out e =
match e with
| Times (e1, Plus (e2, e3)) ->
Plus (Times (multiply_out e1, multiply_out e2),
Times (multiply_out e1, multiply_out e3))
| Times (Plus (e1, e2), e3) ->
Plus (Times (multiply_out e1, multiply_out e3),
Times (multiply_out e2, multiply_out e3))
| Plus (left, right) ->
Plus (multiply_out left, multiply_out right)
| Minus (left, right) ->
Minus (multiply_out left, multiply_out right)
| Times (left, right) ->
Times (multiply_out left, multiply_out right)
| Divide (left, right) ->
Divide (multiply_out left, multiply_out right)
| Value v -> Value v;;
print_expr (multiply_out(Times (Value "n", Plus (Value "x", Value "y"))));;