#load "str.cma" type line = int type regidx = int type regval = int type reg = Reg of regidx * regval type urmcmd = | Copy of regidx * regidx | Jump of regidx * regidx * line | Succ of regidx | Zero of regidx type instptr = InstPtr of (line * urmcmd) list * (line * urmcmd) list type urm = { instptr : instptr; regs : reg list } exception Syntax_error let rec string_of_file f = try let str = input_line f in str ^ " " ^ (string_of_file f) with End_of_file -> "" let rec program_of_lex = function | [] -> [] | "zero" :: arg_1 :: tail -> (Zero (int_of_string arg_1)) :: (program_of_lex tail) | "succ" :: arg_1 :: tail -> (Succ (int_of_string arg_1)) :: (program_of_lex tail) | "copy" :: arg_1 :: arg_2 :: tail -> (Copy ((int_of_string arg_1), (int_of_string arg_2))) :: (program_of_lex tail) | "jump" :: arg_1 :: arg_2 :: arg_3 :: tail -> (Jump ((int_of_string arg_1), (int_of_string arg_2), (int_of_string arg_3))) :: (program_of_lex tail) | _ -> raise Syntax_error let program_of_string str = let lex = Str.split (Str.regexp "[\t\n(),]+") str in List.iter (fun s -> print_string s; print_newline ()) lex; program_of_lex lex (* Creates a pointer of instruction from an urm command list *) let instptr_mk urmcmd_list = let rec aux urmcmd_list count acc = match urmcmd_list with | [] -> acc | instr :: tail -> aux tail (count + 1) ((count, instr) :: acc) in InstPtr([], List.rev (aux urmcmd_list 0 [])) (* Moves the pointer to the previous instruction *) let instptr_move_up = function | InstPtr([], list2) -> InstPtr([], list2) | InstPtr(instr :: list1, list2) -> InstPtr(list1, instr :: list2) (* Moves the pointer to the next instruction *) let instptr_move_down = function | InstPtr(list1, []) -> InstPtr(list1, []) | InstPtr(list1, instr :: list2) -> InstPtr(instr :: list1, list2) (* Returns the couple from the current pointer position : (line, instruction) where instruction is an urm command or fails if there is no instruction pointed *) let instptr_get = function | InstPtr(list1, (l, Zero(a)) :: tail)-> (l, Zero(a)) | InstPtr(list1, (l, Succ(a)) :: tail) -> (l, Succ(a)) | InstPtr(list1, (l, Copy(a, b)) :: tail) -> (l, Copy(a, b)) | InstPtr(list1, (l, Jump(a, b, c)) :: tail) -> (l, Jump(a, b, c)) | InstPtr(_, [])-> failwith "No instruction left" (* Converts the current instruction pointed into a string (line and instruction formatted). If there is no instruction, returns "null" *) let instptr_string instptr = let aux = function | l, Zero(a) -> (string_of_int l) ^ ": Zero " ^ (string_of_int a) | l, Succ(a) -> (string_of_int l) ^ ": Succ " ^ (string_of_int a) | l, Copy(a, b) -> (string_of_int l) ^ ": Copy " ^ (string_of_int a) ^ " " ^ (string_of_int b) | l, Jump(a, b, c) -> (string_of_int l) ^ ": Jump " ^ (string_of_int a) ^ " " ^ (string_of_int b) ^ " " ^ (string_of_int c) in try aux (instptr_get instptr) with _ -> "null" (* Returns true if the instruction pointer is not pointing on any instruction (end of the instruction list) *) let instptr_end = function | InstPtr(_, []) -> true | _ -> false (* Returns the pointer of instruction after a jump decided by the given offse t*) let rec instptr_jump ptr offset = match offset with | 0 -> ptr | _ when offset > 0 -> instptr_jump (instptr_move_up ptr) (offset - 1) | _ -> instptr_jump (instptr_move_down ptr) (offset + 1) let reg_idx (Reg(idx, _)) = idx let reg_val (Reg(_, value)) = value (* Compares two registers. Returns -1 if reg1 is lower than reg2, 1 if it is greater than reg2 or 0 if both are equals. *) let reg_compar reg1 reg2 = (reg_val reg1) - (reg_val reg2) (* Returns the value contained in the specified register in a register list *) let regs_get reglist idx = List.find (fun (Reg(x,v)) -> x = idx) reglist |> reg_val (* Set the value of the register to value, or creates it to the value specified if it does not exist *) let regs_set reglist index value = Reg(index, value) :: List.filter (fun (Reg(x, v)) -> x != index) reglist (* Gives a new urm by moving down its instruction pointer *) let urm_move_down urm = { instptr = instptr_move_down urm.instptr ; regs = urm.regs } (* TODO: Verifier pour JUMP que a et b sont deux registres initialisés *) (* Applies the current instruction pointed by the pointer of instruction. Modifies the pointer of instruction for every instruction *) let urm_apply urm = let aux = function | _, Zero(a) -> { instptr = urm.instptr ; regs = regs_set (urm.regs) a 0 } |> urm_move_down | _, Copy(a, b) when a != b -> { instptr = urm.instptr ; regs = regs_set urm.regs a (regs_get urm.regs b) } |> urm_move_down | _, Copy(a, b) -> failwith "Copy from one register to itself" | _, Succ(a) -> { instptr = urm.instptr ; regs = regs_set urm.regs a ((regs_get urm.regs a) + 1) } |> urm_move_down | _, Jump(a, b, c) when (regs_get urm.regs a) = (regs_get urm.regs b) -> { instptr = (instptr_jump urm.instptr (fst (instptr_get urm.instptr) - c)) ; regs = urm.regs } | _, _ -> { instptr = urm.instptr ; regs = urm.regs } |> urm_move_down in if instptr_end urm.instptr then urm else aux (instptr_get urm.instptr) (* Launches the URM *) let rec urm_run = function | { instptr = InstPtr(_, []) ; regs = reg_list } -> reg_list | urm -> urm_apply urm |> urm_run (* Creates an URM from a command list and a register list *) let urm_mk cmd_list reg_list = { instptr = (instptr_mk cmd_list) ; regs = reg_list }