include "joint/Joint_paolo.ma".

definition a_acc ≝ it.
definition b_acc ≝ it.

inductive registers_move: Type[0] ≝
 | from_acc: Register → unit → registers_move
 | to_acc: unit → Register → registers_move
 | int_to_reg : Register → Byte → registers_move
 | int_to_acc : unit → Byte → registers_move.

inductive ltl_argument : Type[0] ≝
 | Reg : Register → ltl_argument
 | Imm : Byte → ltl_argument.

coercion reg_ltl_argument : ∀r : Register.ltl_argument ≝ Reg on _r : Register to ltl_argument.
coercion int_ltl_argument : ∀b : Byte.ltl_argument ≝ Imm on _b : Byte to ltl_argument.

notation "𝐀" with precedence 90 for @{a_acc}.
notation "𝐁" with precedence 90 for @{b_acc}.

inductive ltl_lin_seq : Type[0] ≝
| SAVE_CARRY : ltl_lin_seq
| RESTORE_CARRY : ltl_lin_seq.

definition ltl_lin_params : unserialized_params ≝ mk_unserialized_params
  (mk_step_params
    (* acc_a_reg ≝ *) unit
    (* acc_b_reg ≝ *) unit
    (* acc_a_arg ≝ *) unit
    (* acc_b_arg ≝ *) unit
    (* dpl_reg   ≝ *) unit
    (* dph_reg   ≝ *) unit
    (* dpl_arg   ≝ *) unit
    (* dph_arg   ≝ *) unit
    (* snd_arg   ≝ *) ltl_argument
    (* pair_move ≝ *) registers_move
    (* call_args ≝ *) ℕ
    (* call_dest ≝ *) unit
    (* ext_seq ≝ *) ltl_lin_seq
    (* ext_call ≝ *) void
    (* ext_tailcall ≝ *) void
  )
  (mk_local_params
    (mk_funct_params
      (* resultT ≝ *) unit
      (* paramsT ≝ *) unit)
      (* localsT ≝ *) void).

interpretation "from accumulator" 'mov a b = (MOVE ?? (from_acc a b)).
interpretation "to accumulator" 'mov a b = (MOVE ?? (to_acc a b)).
interpretation "int to register" 'mov a b = (MOVE ?? (int_to_reg a b)).
interpretation "int to accumulator" 'mov a b = (MOVE ?? (int_to_acc a b)).
definition nat_to_byte : ℕ → Byte ≝ nat_to_bv 8.
coercion nat_as_byte : ∀n : ℕ.Byte ≝ nat_to_byte on _n : ℕ to Byte.