open Types module Utility = Utility;; Random.self_init () let rec evaluate (mem: memory) (command: c_exp) = match command with Skip -> mem | Assignment (v, exp_a) -> { (* Map.add replaces the previeus value *) assignments = VariableMap.add v (evaluate_a mem exp_a) mem.assignments } | Sequence (exp_c1, exp_c2) -> ( let mem2 = evaluate mem exp_c1 in evaluate mem2 exp_c2 ) | If (exp_b, exp_c1, exp_c2) -> ( if evaluate_b mem exp_b then evaluate mem exp_c1 else evaluate mem exp_c2 ) | While (exp_b, exp_c) -> ( if evaluate_b mem exp_b then let mem2 = evaluate mem exp_c in evaluate mem2 command else mem ) | For (exp_c1, exp_b, exp_c2, body_c) -> ( let mem2 = evaluate mem exp_c1 in let rec f localmem = if (evaluate_b localmem exp_b) then f ( let tmpmem = (evaluate localmem body_c) in (evaluate tmpmem exp_c2)) else localmem in f mem2 ) and evaluate_a (mem: memory) (exp_a: a_exp) = match exp_a with Variable v -> ( match VariableMap.find_opt v mem.assignments with None -> raise (AbsentAssignment ("The variable " ^ v ^ " is not defined.")) | Some a -> a ) | Integer n -> n | Plus (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val + exp_a2val ) | Minus (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val - exp_a2val ) | Times (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val * exp_a2val ) | Division (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in try exp_a1val / exp_a2val with Division_by_zero -> raise (DivisionByZero "Dividing by zero") ) | Modulo (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val mod exp_a2val ) | Power (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in Utility.pow exp_a1val exp_a2val ) | PowerMod (exp_a1, exp_a2, exp_a3) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in let exp_a3val = evaluate_a mem exp_a3 in Utility.powmod exp_a1val exp_a3val exp_a2val ) | Rand (exp_a) -> ( Random.int (evaluate_a mem exp_a) ) and evaluate_b (mem: memory) (exp_b: b_exp) = match exp_b with Boolean b -> b | BAnd (exp_b1, exp_b2) -> ( let exp_b1val = evaluate_b mem exp_b1 in let exp_b2val = evaluate_b mem exp_b2 in exp_b1val && exp_b2val ) | BOr (exp_b1, exp_b2) -> ( let exp_b1val = evaluate_b mem exp_b1 in let exp_b2val = evaluate_b mem exp_b2 in exp_b1val || exp_b2val ) | BNot (exp_b) -> ( not (evaluate_b mem exp_b) ) | BCmp (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val = exp_a2val ) | BCmpLess (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val < exp_a2val ) | BCmpLessEq (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val <= exp_a2val ) | BCmpGreater (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val > exp_a2val ) | BCmpGreaterEq (exp_a1, exp_a2) -> ( let exp_a1val = evaluate_a mem exp_a1 in let exp_a2val = evaluate_a mem exp_a2 in exp_a1val >= exp_a2val ) let reduce (program: p_exp) (iin : int) = match program with Main (vin, vout, expression) -> ( let mem : memory = {assignments = (VariableMap.empty |> VariableMap.add vin iin)} in match VariableMap.find_opt vout (evaluate mem expression).assignments with None -> raise (AbsentAssignment ("The output variable is not defined (" ^ vout ^ ")")) | Some a -> a )