type vm = { a : int; b : int; c : int; ip : int; code : int array; out : int list; } (** Virtual Machine definition Consists of three general-purpose registers: A, B, C, an instruction pointer (ip), and array of code, and a list of output. The output list is in reverse order of output. *) (** Generate a VM from a list of strings *) let vm_of_strings lst = let re_val = Str.regexp {|Register [ABC]: \([0-9]+\)|} in let re_prog = Str.regexp {|Program: \([0-9,]+\)|} in let get_val = function | [] -> failwith "vm_of_strings.get_val" | h :: t -> let _ = Str.search_forward re_val h 0 in (int_of_string (Str.matched_group 1 h), t) in let skip_line = function | "" :: t -> t | _ -> failwith "vm_of_strings.skip_line" in let get_code = function | [] -> failwith "vm_of_strings.get_prog" | h :: t -> let _ = Str.search_forward re_prog h 0 in let nums = Str.matched_group 1 h |> Aoc.ints_of_string ~sep:"," |> Array.of_list in (nums, t) in let a, lst = get_val lst in let b, lst = get_val lst in let c, lst = get_val lst in let lst = skip_line lst in let code, lst = get_code lst in let ip = 0 in let out = [] in assert (List.is_empty lst); { a; b; c; ip; code; out } (** Generate a VM from a file *) let vm_of_file fname = Aoc.strings_of_file fname |> vm_of_strings (** [is_halted vm] returns true if the VM is halted. *) let is_halted vm = vm.ip >= Array.length vm.code || vm.ip < 0 (** [get_literal vm] returns the Literal value from the current IP + 1 in [vm]. *) let get_literal vm = vm.code.(vm.ip + 1) (** [print_combo vm] prints the combo operand at the current IP + 1 in [vm]. *) let[@warning "-32"] print_combo vm = match vm.code.(vm.ip + 1) with | 0 | 1 | 2 | 3 -> print_int vm.code.(vm.ip + 1) | 4 -> Printf.printf "A (=%d)" vm.a | 5 -> Printf.printf "B (=%d)" vm.a | 6 -> Printf.printf "C (=%d)" vm.a | 7 -> failwith "print_combo reserved" | _ -> failwith "print_combo not 3-bit" (** [get_combo vm] returns the value of interpreting the combo operant at IP + 1 in [vm]. *) let get_combo vm = match vm.code.(vm.ip + 1) with | 0 | 1 | 2 | 3 -> vm.code.(vm.ip + 1) | 4 -> vm.a | 5 -> vm.b | 6 -> vm.c | 7 -> failwith "get_combo reserved" | _ -> failwith "get_combo not 3-bit" (** [print_insn vm] prints the current instruction at VM. *) let[@warning "-32"] print_insn vm = Printf.printf "%d: " vm.ip; if is_halted vm then print_endline "Halted" else Printf.printf "%d " vm.code.(vm.ip); (match vm.code.(vm.ip) with | 0 -> print_string "adv "; print_combo vm | 1 -> Printf.printf "bxl %d" (get_literal vm) | 2 -> print_string "bst "; print_combo vm | 3 -> Printf.printf "jnz %d" (get_literal vm) | 4 -> print_string "bxc" | 5 -> print_string "out "; print_combo vm | 6 -> print_string "bdv "; print_combo vm | 7 -> print_string "cdv "; print_combo vm | _ -> failwith "print_insn"); Printf.printf " A=%d B=%d C=%d\n" vm.a vm.b vm.c (** [execute_insn vm] executes the current instruction in [vm] returns an updated VM. *) let execute_insn vm = if is_halted vm then vm else (*print_insn vm;*) match vm.code.(vm.ip) with | 0 -> { vm with a = vm.a / (1 lsl get_combo vm); ip = vm.ip + 2 } | 1 -> { vm with b = vm.b lxor get_literal vm; ip = vm.ip + 2 } | 2 -> { vm with b = get_combo vm land 7; ip = vm.ip + 2 } | 3 -> if vm.a <> 0 then { vm with ip = get_literal vm } else { vm with ip = vm.ip + 2 } | 4 -> { vm with b = vm.b lxor vm.c; ip = vm.ip + 2 } | 5 -> { vm with out = (get_combo vm land 7) :: vm.out; ip = vm.ip + 2 } | 6 -> { vm with b = vm.a / (1 lsl get_combo vm); ip = vm.ip + 2 } | 7 -> { vm with c = vm.a / (1 lsl get_combo vm); ip = vm.ip + 2 } | _ -> failwith "execute_insn" (** [execute_until_halted vm] executes a VM until it runs out of steam. *) let rec execute_until_halted vm = match is_halted vm with | true -> vm | false -> execute_until_halted (execute_insn vm) (** [string_of_ouput vm] gives the output of [vm]. *) let string_of_output vm = List.rev vm.out |> List.map string_of_int |> String.concat "," (** [scan_digit acc ip vm] updates the acc for A so that the output of running VM agrees in the last [ip] digits with the input program. *) let scan_digit acc ip vm = let rec impl v = let acc = acc + (v lsl (3 * ip)) in let vm = { vm with a = acc } in let vm = execute_until_halted vm in let out = List.rev vm.out in if List.length out <= ip then impl (v + 1) else if List.of_seq (Seq.drop ip (List.to_seq out)) = List.of_seq (Seq.drop ip (Array.to_seq vm.code)) then acc else impl (v + 1) in impl 0 (** [scan_all vm] generates the input A which means the output of executing [vm] is the same as the input program. *) let scan_all vm = let rec impl acc ip = if ip < 0 || ip >= Array.length vm.code then { vm with a = acc } else impl (scan_digit acc ip vm) (ip - 1) in impl 0 (Array.length vm.code - 1) (** [string_of_a vm] returns the A register of [vm]. *) let string_of_a vm = string_of_int vm.a let _ = Aoc.main vm_of_file [ (string_of_output, execute_until_halted); (string_of_a, scan_all) ]