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open import Pervasives_extra
open import Sail2_values
open import Sail2_prompt_monad
open import Sail2_prompt
open import Sail2_state_monad
open import {isabelle} `Sail2_state_monad_lemmas`

(* Lifting from prompt monad to state monad *)
val liftState : forall 'regval 'regs 'a 'e. register_accessors 'regs 'regval -> monad 'regval 'a 'e -> monadS 'regs 'a 'e
let rec liftState ra m = match m with
  | (Done a)                  -> returnS a
  | (Read_mem rk a sz k)      -> bindS (read_mem_bytesS rk a sz)      (fun v -> liftState ra (k v))
  | (Write_mem wk a sz v t k) -> bindS (write_mem_bytesS wk a sz v t) (fun v -> liftState ra (k v))
  | (Read_reg r k)            -> bindS (read_regvalS ra r)            (fun v -> liftState ra (k v))
  | (Excl_res k)              -> bindS (excl_resultS ())              (fun v -> liftState ra (k v))
  | (Undefined k)             -> bindS (undefined_boolS ())           (fun v -> liftState ra (k v))
  | (Write_reg r v k)         -> seqS (write_regvalS ra r v)          (liftState ra k)
  | (Write_ea _ _ _ k)        -> liftState ra k
  | (Footprint k)             -> liftState ra k
  | (Barrier _ k)             -> liftState ra k
  | (Print _ k)               -> liftState ra k (* TODO *)
  | (Fail descr)              -> failS descr
  | (Exception e)             -> throwS e
end

val runTraceS : forall 'regval 'regs 'a 'e. Eq 'regval => register_accessors 'regs 'regval -> trace 'regval -> sequential_state 'regs -> maybe (sequential_state 'regs)
let rec runTraceS ra t s =
  match t with
  | [] -> Just s
  | E_read_mem _ addr sz (v, tag) :: t' ->
     Maybe.bind (unsigned addr) (fun addr ->
     Maybe.bind (get_mem_bytes addr sz s) (fun (v', tag') ->
     if v' = v && tag' = tag then runTraceS ra t' s else Nothing))
  | E_write_mem _ addr sz v tag _ :: t' ->
     Maybe.bind (unsigned addr) (fun addr ->
     runTraceS ra t' (put_mem_bytes addr sz v tag s))
  | E_read_reg r v :: t' ->
     let (read_reg, _) = ra in
     Maybe.bind (read_reg r s.regstate) (fun v' ->
     if v' = v then runTraceS ra t' s else Nothing)
  | E_write_reg r v :: t' ->
     let (_, write_reg) = ra in
     Maybe.bind (write_reg r v s.regstate) (fun s' ->
     runTraceS ra t' <| s with regstate = s' |>)
  | _ :: t' -> runTraceS ra t' s
end