include "joint/Joint_paolo.ma".
include "RTL/RTL_paolo.ma".

inductive move_dst: Type[0] ≝
  | PSD: register → move_dst
  | HDW: Register → move_dst.

definition move_src ≝ argument move_dst.

definition move_src_from_dst : move_dst → move_src ≝ Reg move_dst.
coercion move_dst_to_src : ∀r : move_dst.move_src ≝ move_src_from_dst on _r : move_dst to move_src.

definition psd_argument_move_src : psd_argument → move_src ≝
  λarg.match arg with
  [ Imm b ⇒ Imm ? b
  | Reg r ⇒ Reg ? (PSD r)
  ].
coercion psd_argument_to_move_src : ∀a:psd_argument.move_src ≝
  psd_argument_move_src on _a : psd_argument to move_src.

inductive ertl_seq : Type[0] ≝
  | ertl_new_frame: ertl_seq
  | ertl_del_frame: ertl_seq
  | ertl_frame_size: register → ertl_seq.

definition ERTL_uns ≝ mk_unserialized_params
    (* acc_a_reg ≝ *) register
    (* acc_b_reg ≝ *) register
    (* acc_a_arg ≝ *) psd_argument
    (* acc_b_arg ≝ *) psd_argument
    (* dpl_reg   ≝ *) register
    (* dph_reg   ≝ *) register
    (* dpl_arg   ≝ *) psd_argument
    (* dph_arg   ≝ *) psd_argument
    (* snd_arg   ≝ *) psd_argument
    (* pair_move ≝ *) (move_dst × move_src)
    (* call_args ≝ *) ℕ
    (* call_dest ≝ *) unit
    (* ext_seq ≝ *) ertl_seq
    (* ext_call ≝ *) void
    (* ext_tailcall ≝ *) void
    (* paramsT ≝ *) ℕ
    (* localsT ≝ *) register.

definition ERTL ≝ mk_graph_params ERTL_uns.
definition ertl_program ≝ joint_program ERTL.

interpretation "move" 'mov r a = (MOVE ?? (mk_Prod move_dst move_src r a)).

(* aid unification *)
unification hint 0 ≔
(*---------------*) ⊢
pair_move ERTL ≡ move_dst × move_src.
unification hint 0 ≔
(*---------------*) ⊢
acc_a_reg ERTL ≡ register.
unification hint 0 ≔
(*---------------*) ⊢
acc_b_reg ERTL ≡ register.
unification hint 0 ≔
(*---------------*) ⊢
acc_a_arg ERTL ≡ psd_argument.
unification hint 0 ≔
(*---------------*) ⊢
acc_b_arg ERTL ≡ psd_argument.
unification hint 0 ≔
(*---------------*) ⊢
dpl_reg ERTL ≡ register.
unification hint 0 ≔
(*---------------*) ⊢
dph_reg ERTL ≡ register.
unification hint 0 ≔
(*---------------*) ⊢
dpl_arg ERTL ≡ psd_argument.
unification hint 0 ≔
(*---------------*) ⊢
dph_arg ERTL ≡ psd_argument.
unification hint 0 ≔
(*---------------*) ⊢
snd_arg ERTL ≡ psd_argument.
unification hint 0 ≔
(*---------------*) ⊢
call_args ERTL ≡ ℕ.
unification hint 0 ≔
(*---------------*) ⊢
call_dest ERTL ≡ unit.

unification hint 0 ≔
(*---------------*) ⊢
ext_seq ERTL ≡ ertl_seq.
unification hint 0 ≔
(*---------------*) ⊢
ext_call ERTL ≡ void.
unification hint 0 ≔
(*---------------*) ⊢
ext_tailcall ERTL ≡ void.

coercion reg_to_ertl_snd_argument : ∀r : register.snd_arg ERTL ≝
  psd_argument_from_reg
  on _r : register to snd_arg ERTL.
coercion byte_to_ertl_snd_argument : ∀b : Byte.snd_arg ERTL ≝
  psd_argument_from_byte
  on _b : Byte to snd_arg ERTL.
  
definition ertl_seq_joint ≝ extension_seq ERTL.
coercion ertl_seq_to_joint_seq : ∀globals.∀s : ertl_seq.joint_seq ERTL globals ≝ ertl_seq_joint
  on _s : ertl_seq to joint_seq ERTL.