open import Pervasives_extra open import Sail_instr_kinds open import Sail_values (* 'a is result type *) type memstate = map integer memory_byte type tagstate = map integer bitU (* type regstate = map string (vector bitU) *) type sequential_state 'regs = <| regstate : 'regs; memstate : memstate; tagstate : tagstate; write_ea : maybe (write_kind * integer * integer); last_exclusive_operation_was_load : bool; (* Random bool generator for use as an undefined bit oracle *) next_bool : nat -> (bool * nat); seed : nat |> val init_state : forall 'regs. 'regs -> (nat -> (bool* nat)) -> nat -> sequential_state 'regs let init_state regs o s = <| regstate = regs; memstate = Map.empty; tagstate = Map.empty; write_ea = Nothing; last_exclusive_operation_was_load = false; next_bool = o; seed = s |> type ex 'e = | Failure of string | Throw of 'e type result 'a 'e = | Value of 'a | Ex of (ex 'e) (* State, nondeterminism and exception monad with result value type 'a and exception type 'e. *) type monadS 'regs 'a 'e = sequential_state 'regs -> set (result 'a 'e * sequential_state 'regs) val returnS : forall 'regs 'a 'e. 'a -> monadS 'regs 'a 'e let returnS a s = {(Value a,s)} val bindS : forall 'regs 'a 'b 'e. monadS 'regs 'a 'e -> ('a -> monadS 'regs 'b 'e) -> monadS 'regs 'b 'e let bindS m f (s : sequential_state 'regs) = Set.bigunion (Set.map (function | (Value a, s') -> f a s' | (Ex e, s') -> {(Ex e, s')} end) (m s)) val seqS: forall 'regs 'b 'e. monadS 'regs unit 'e -> monadS 'regs 'b 'e -> monadS 'regs 'b 'e let seqS m n = bindS m (fun (_ : unit) -> n) let inline (>>$=) = bindS let inline (>>$) = seqS val chooseS : forall 'regs 'a 'e. SetType 'a => set 'a -> monadS 'regs 'a 'e let chooseS xs s = Set.map (fun x -> (Value x, s)) xs val readS : forall 'regs 'a 'e. (sequential_state 'regs -> 'a) -> monadS 'regs 'a 'e let readS f = (fun s -> returnS (f s) s) val updateS : forall 'regs 'e. (sequential_state 'regs -> sequential_state 'regs) -> monadS 'regs unit 'e let updateS f = (fun s -> returnS () (f s)) val failS : forall 'regs 'a 'e. string -> monadS 'regs 'a 'e let failS msg s = {(Ex (Failure msg), s)} val undefined_boolS : forall 'regval 'regs 'a 'e. unit -> monadS 'regs bool 'e let undefined_boolS () = readS (fun s -> s.next_bool (s.seed)) >>$= (fun (b, seed) -> updateS (fun s -> <| s with seed = seed |>) >>$ returnS b) val exitS : forall 'regs 'e 'a. unit -> monadS 'regs 'a 'e let exitS () = failS "exit" val throwS : forall 'regs 'a 'e. 'e -> monadS 'regs 'a 'e let throwS e s = {(Ex (Throw e), s)} val try_catchS : forall 'regs 'a 'e1 'e2. monadS 'regs 'a 'e1 -> ('e1 -> monadS 'regs 'a 'e2) -> monadS 'regs 'a 'e2 let try_catchS m h s = Set.bigunion (Set.map (function | (Value a, s') -> returnS a s' | (Ex (Throw e), s') -> h e s' | (Ex (Failure msg), s') -> {(Ex (Failure msg), s')} end) (m s)) val assert_expS : forall 'regs 'e. bool -> string -> monadS 'regs unit 'e let assert_expS exp msg = if exp then returnS () else failS msg (* For early return, we abuse exceptions by throwing and catching the return value. The exception type is "either 'r 'e", where "Right e" represents a proper exception and "Left r" an early return of value "r". *) type monadRS 'regs 'a 'r 'e = monadS 'regs 'a (either 'r 'e) val early_returnS : forall 'regs 'a 'r 'e. 'r -> monadRS 'regs 'a 'r 'e let early_returnS r = throwS (Left r) val catch_early_returnS : forall 'regs 'a 'e. monadRS 'regs 'a 'a 'e -> monadS 'regs 'a 'e let catch_early_returnS m = try_catchS m (function | Left a -> returnS a | Right e -> throwS e end) (* Lift to monad with early return by wrapping exceptions *) val liftRS : forall 'a 'r 'regs 'e. monadS 'regs 'a 'e -> monadRS 'regs 'a 'r 'e let liftRS m = try_catchS m (fun e -> throwS (Right e)) (* Catch exceptions in the presence of early returns *) val try_catchRS : forall 'regs 'a 'r 'e1 'e2. monadRS 'regs 'a 'r 'e1 -> ('e1 -> monadRS 'regs 'a 'r 'e2) -> monadRS 'regs 'a 'r 'e2 let try_catchRS m h = try_catchS m (function | Left r -> throwS (Left r) | Right e -> h e end) val maybe_failS : forall 'regs 'a 'e. string -> maybe 'a -> monadS 'regs 'a 'e let maybe_failS msg = function | Just a -> returnS a | Nothing -> failS msg end val read_tagS : forall 'regs 'a 'e. Bitvector 'a => 'a -> monadS 'regs bitU 'e let read_tagS addr = maybe_failS "unsigned" (unsigned addr) >>$= (fun addr -> readS (fun s -> fromMaybe B0 (Map.lookup addr s.tagstate))) (* Read bytes from memory and return in little endian order *) val read_mem_bytesS : forall 'regs 'e 'a. Bitvector 'a => read_kind -> 'a -> nat -> monadS 'regs (list memory_byte) 'e let read_mem_bytesS read_kind addr sz = maybe_failS "unsigned" (unsigned addr) >>$= (fun addr -> let sz = integerFromNat sz in let addrs = index_list addr (addr+sz-1) 1 in let read_byte s addr = Map.lookup addr s.memstate in readS (fun s -> just_list (List.map (read_byte s) addrs)) >>$= (function | Just mem_val -> updateS (fun s -> if read_is_exclusive read_kind then <| s with last_exclusive_operation_was_load = true |> else s) >>$ returnS mem_val | Nothing -> failS "read_memS" end)) val read_memS : forall 'regs 'e 'a 'b. Bitvector 'a, Bitvector 'b => read_kind -> 'a -> integer -> monadS 'regs 'b 'e let read_memS rk a sz = read_mem_bytesS rk a (nat_of_int sz) >>$= (fun bytes -> maybe_failS "bits_of_mem_bytes" (of_bits (bits_of_mem_bytes bytes))) val excl_resultS : forall 'regs 'e. unit -> monadS 'regs bool 'e let excl_resultS () = readS (fun s -> s.last_exclusive_operation_was_load) >>$= (fun excl_load -> updateS (fun s -> <| s with last_exclusive_operation_was_load = false |>) >>$ chooseS (if excl_load then {false; true} else {false})) val write_mem_eaS : forall 'regs 'e 'a. Bitvector 'a => write_kind -> 'a -> nat -> monadS 'regs unit 'e let write_mem_eaS write_kind addr sz = maybe_failS "unsigned" (unsigned addr) >>$= (fun addr -> let sz = integerFromNat sz in updateS (fun s -> <| s with write_ea = Just (write_kind, addr, sz) |>)) (* Write little-endian list of bytes to previously announced address *) val write_mem_bytesS : forall 'regs 'e. list memory_byte -> monadS 'regs bool 'e let write_mem_bytesS v = readS (fun s -> s.write_ea) >>$= (function | Nothing -> failS "write ea has not been announced yet" | Just (_, addr, sz) -> let addrs = index_list addr (addr+sz-1) 1 in (*let v = external_mem_value (bits_of v) in*) let a_v = List.zip addrs v in let write_byte mem (addr, v) = Map.insert addr v mem in updateS (fun s -> <| s with memstate = List.foldl write_byte s.memstate a_v |>) >>$ returnS true end) val write_mem_valS : forall 'regs 'e 'a. Bitvector 'a => 'a -> monadS 'regs bool 'e let write_mem_valS v = match mem_bytes_of_bits v with | Just v -> write_mem_bytesS v | Nothing -> failS "write_mem_val" end val write_tagS : forall 'regs 'a 'e. Bitvector 'a => 'a -> bitU -> monadS 'regs bool 'e let write_tagS addr t = maybe_failS "unsigned" (unsigned addr) >>$= (fun addr -> updateS (fun s -> <| s with tagstate = Map.insert addr t s.tagstate |>) >>$ returnS true) val read_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> monadS 'regs 'a 'e let read_regS reg = readS (fun s -> reg.read_from s.regstate) (* TODO let read_reg_range reg i j state = let v = slice (get_reg state (name_of_reg reg)) i j in [(Value (vec_to_bvec v),state)] let read_reg_bit reg i state = let v = access (get_reg state (name_of_reg reg)) i in [(Value v,state)] let read_reg_field reg regfield = let (i,j) = register_field_indices reg regfield in read_reg_range reg i j let read_reg_bitfield reg regfield = let (i,_) = register_field_indices reg regfield in read_reg_bit reg i *) val read_regvalS : forall 'regs 'rv 'e. register_accessors 'regs 'rv -> string -> monadS 'regs 'rv 'e let read_regvalS (read, _) reg = readS (fun s -> read reg s.regstate) >>$= (function | Just v -> returnS v | Nothing -> failS ("read_regvalS " ^ reg) end) val write_regvalS : forall 'regs 'rv 'e. register_accessors 'regs 'rv -> string -> 'rv -> monadS 'regs unit 'e let write_regvalS (_, write) reg v = readS (fun s -> write reg v s.regstate) >>$= (function | Just rs' -> updateS (fun s -> <| s with regstate = rs' |>) | Nothing -> failS ("write_regvalS " ^ reg) end) val write_regS : forall 'regs 'rv 'a 'e. register_ref 'regs 'rv 'a -> 'a -> monadS 'regs unit 'e let write_regS reg v = updateS (fun s -> <| s with regstate = reg.write_to v s.regstate |>) (* TODO val update_reg : forall 'regs 'rv 'a 'b 'e. register_ref 'regs 'rv 'a -> ('a -> 'b -> 'a) -> 'b -> monadS 'regs unit 'e let update_reg reg f v state = let current_value = get_reg state reg in let new_value = f current_value v in [(Value (), set_reg state reg new_value)] let write_reg_field reg regfield = update_reg reg regfield.set_field val update_reg_range : forall 'regs 'rv 'a 'b. Bitvector 'a, Bitvector 'b => register_ref 'regs 'rv 'a -> integer -> integer -> 'a -> 'b -> 'a let update_reg_range reg i j reg_val new_val = set_bits (reg.is_inc) reg_val i j (bits_of new_val) let write_reg_range reg i j = update_reg reg (update_reg_range reg i j) let update_reg_pos reg i reg_val x = update_list reg.is_inc reg_val i x let write_reg_pos reg i = update_reg reg (update_reg_pos reg i) let update_reg_bit reg i reg_val bit = set_bit (reg.is_inc) reg_val i (to_bitU bit) let write_reg_bit reg i = update_reg reg (update_reg_bit reg i) let update_reg_field_range regfield i j reg_val new_val = let current_field_value = regfield.get_field reg_val in let new_field_value = set_bits (regfield.field_is_inc) current_field_value i j (bits_of new_val) in regfield.set_field reg_val new_field_value let write_reg_field_range reg regfield i j = update_reg reg (update_reg_field_range regfield i j) let update_reg_field_pos regfield i reg_val x = let current_field_value = regfield.get_field reg_val in let new_field_value = update_list regfield.field_is_inc current_field_value i x in regfield.set_field reg_val new_field_value let write_reg_field_pos reg regfield i = update_reg reg (update_reg_field_pos regfield i) let update_reg_field_bit regfield i reg_val bit = let current_field_value = regfield.get_field reg_val in let new_field_value = set_bit (regfield.field_is_inc) current_field_value i (to_bitU bit) in regfield.set_field reg_val new_field_value let write_reg_field_bit reg regfield i = update_reg reg (update_reg_field_bit regfield i)*) (* TODO Add Show typeclass for value and exception type *) val show_result : forall 'a 'e. result 'a 'e -> string let show_result = function | Value _ -> "Value ()" | Ex (Failure msg) -> "Failure " ^ msg | Ex (Throw _) -> "Throw" end val prerr_results : forall 'a 'e 's. SetType 's => set (result 'a 'e * 's) -> unit let prerr_results rs = let _ = Set.map (fun (r, _) -> let _ = prerr_endline (show_result r) in ()) rs in ()