(* *************** *)
(* id: accesso all'ambiente con stringa *)
-inductive ast_id (e:aux_env_type) : bool → ast_type → Type ≝
+inductive ast_id (d:nat) (e:aux_env_type d) : bool → ast_type → Type ≝
AST_ID: ∀str:aux_str_type.
- (* D *) check_desc_env e str → ast_id e (get_const_desc (get_desc_env e str)) (get_type_desc (get_desc_env e str)).
+ (* D *) (check_desc_env d e str) → (ast_id d e (get_const_desc (get_desc_env d e str)) (get_type_desc (get_desc_env d e str))).
(* -------------------------- *)
(* espressioni *)
-inductive ast_expr (e:aux_env_type) : ast_base_type → Type ≝
- AST_EXPR_BYTE8 : byte8 → ast_expr e AST_BASE_TYPE_BYTE8
-| AST_EXPR_WORD16: word16 → ast_expr e AST_BASE_TYPE_WORD16
-| AST_EXPR_WORD32: word32 → ast_expr e AST_BASE_TYPE_WORD32
+inductive ast_expr (d:nat) (e:aux_env_type d) : ast_type → Type ≝
+ AST_EXPR_BYTE8 : byte8 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_WORD16: word16 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
+| AST_EXPR_WORD32: word32 → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
| AST_EXPR_NEG: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_NOT: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_COM: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_ADD: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_SUB: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_MUL: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_DIV: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_SHR: ∀t:ast_base_type.
- ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8 → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_SHL: ∀t:ast_base_type.
- ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8 → ast_expr e t
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_AND: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_OR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
+| AST_EXPR_XOR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t)
| AST_EXPR_GT : ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
| AST_EXPR_GTE: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
| AST_EXPR_LT : ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
| AST_EXPR_LTE: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
| AST_EXPR_EQ : ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
| AST_EXPR_NEQ: ∀t:ast_base_type.
- ast_expr e t → ast_expr e t → ast_expr e AST_BASE_TYPE_BYTE8
+ ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
-| AST_EXPR_B8toW16 : ast_expr e AST_BASE_TYPE_BYTE8 → ast_expr e AST_BASE_TYPE_WORD16
-| AST_EXPR_B8toW32 : ast_expr e AST_BASE_TYPE_BYTE8 → ast_expr e AST_BASE_TYPE_WORD32
-| AST_EXPR_W16toB8 : ast_expr e AST_BASE_TYPE_WORD16 → ast_expr e AST_BASE_TYPE_BYTE8
-| AST_EXPR_W16toW32: ast_expr e AST_BASE_TYPE_WORD16 → ast_expr e AST_BASE_TYPE_WORD32
-| AST_EXPR_W32toB8 : ast_expr e AST_BASE_TYPE_WORD32 → ast_expr e AST_BASE_TYPE_BYTE8
-| AST_EXPR_W32toW16: ast_expr e AST_BASE_TYPE_WORD32 → ast_expr e AST_BASE_TYPE_WORD16
+| AST_EXPR_B8toW16 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
+| AST_EXPR_B8toW32 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
+| AST_EXPR_W16toB8 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_W16toW32: ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32)
+| AST_EXPR_W32toB8 : ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_BYTE8)
+| AST_EXPR_W32toW16: ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD32) → ast_expr d e (AST_TYPE_BASE AST_BASE_TYPE_WORD16)
-| AST_EXPR_ID: ∀b:bool.∀t:ast_base_type.
- ast_var e b (AST_TYPE_BASE t) → ast_expr e t
-
-(* espressioni generalizzate: anche non uniformi per tipo *)
-with ast_base_expr : Type ≝
- AST_BASE_EXPR: ∀t:ast_base_type.
- ast_expr e t → ast_base_expr e
+| AST_EXPR_ID: ∀b:bool.∀t:ast_type.
+ ast_var d e b t → ast_expr d e t
(* variabile: modificatori di array/struct dell'id *)
with ast_var : bool → ast_type → Type ≝
AST_VAR_ID: ∀b:bool.∀t:ast_type.
- ast_id e b t → ast_var e b t
- (* NB: l'index out of bound e' delegato a runtime? *)
+ ast_id d e b t → ast_var d e b t
| AST_VAR_ARRAY: ∀b:bool.∀t:ast_type.∀n:nat.
- ast_var e b (AST_TYPE_ARRAY t n) → ast_base_expr e → ast_var e b t
+ ast_var d e b (AST_TYPE_ARRAY t n) → ast_base_expr d e → ast_var d e b t
| AST_VAR_STRUCT: ∀b:bool.∀nel:ne_list ast_type.∀n:nat.
- ast_var e b (AST_TYPE_STRUCT nel) → (* D *) (ltb n (len_neList ? nel) = true) → ast_var e b (abs_nth_neList ? nel n).
+ ast_var d e b (AST_TYPE_STRUCT nel) → (* D *) (ltb n (len_neList ? nel) = true) → ast_var d e b (abs_nth_neList ? nel n)
+
+(* espressioni generalizzate: anche non uniformi per tipo *)
+with ast_base_expr : Type ≝
+ AST_BASE_EXPR: ∀t:ast_base_type.
+ ast_expr d e (AST_TYPE_BASE t) → ast_base_expr d e.
+
+(* -------------------------- *)
+
+let rec aux_ast_init_type (t:ast_type) on t : Type ≝
+ match t with
+ [ AST_TYPE_BASE bType ⇒ match bType with
+ [ AST_BASE_TYPE_BYTE8 ⇒ byte8
+ | AST_BASE_TYPE_WORD16 ⇒ word16
+ | AST_BASE_TYPE_WORD32 ⇒ word32
+ ]
+ | AST_TYPE_ARRAY subType dim ⇒
+ let T ≝ aux_ast_init_type subType in
+ let rec aux (n:nat) on n ≝
+ match n with
+ [ O ⇒ T
+ | S n' ⇒ Prod T (aux n')
+ ] in
+ aux dim
+ | AST_TYPE_STRUCT nelSubType ⇒
+ let rec aux (nel:ne_list ast_type) on nel ≝
+ match nel with
+ [ ne_nil h ⇒ aux_ast_init_type h
+ | ne_cons h t ⇒ Prod (aux_ast_init_type h) (aux t)
+ ] in
+ aux nelSubType
+ ].
+
+(*
+ inizializzatori: ammesse solo due forme, no ibridi
+ 1) var1 = var2
+ 2) var = ... valori ...
+*)
+inductive ast_init (d:nat) (e:aux_env_type d) : ast_type → Type ≝
+ AST_INIT_VAR: ∀b:bool.∀t:ast_type.
+ ast_var d e b t → ast_init d e t
+| AST_INIT_VAL: ∀t:ast_type.
+ aux_ast_init_type t → ast_init d e t.
(* -------------------------- *)
(* statement: assegnamento/while/if else if else *)
-inductive ast_stm : aux_env_type → Type ≝
- AST_STM_ASG: ∀e:aux_env_type.∀t:ast_base_type.
- ast_var e false (AST_TYPE_BASE t) → ast_expr e t → ast_stm e
-| AST_STM_MEMCPY_ASG: ∀e:aux_env_type.∀b:bool.∀t:ast_type.
- (* D *) isnt_ast_base_type t → ast_var e false t → ast_var e b t → ast_stm e
-| AST_STM_WHILE: ∀e:aux_env_type.
- ast_base_expr e → ast_decl e → ast_stm e
-| AST_STM_IF: ∀e:aux_env_type.
- ne_list (Prod (ast_base_expr e) (ast_decl e)) → option (ast_decl e) → ast_stm e
+inductive ast_stm : Πd:nat.aux_env_type d → Type ≝
+ AST_STM_ASG: ∀d.∀e:aux_env_type d.∀t:ast_type.
+ ast_var d e false t → ast_expr d e t → ast_stm d e
+| AST_STM_WHILE: ∀d.∀e:aux_env_type d.
+ ast_base_expr d e → ast_decl (S d) (enter_env d e) → ast_stm d e
+| AST_STM_IF: ∀d.∀e:aux_env_type d.
+ ne_list (Prod (ast_base_expr d e) (ast_decl (S d) (enter_env d e))) → option (ast_decl (S d) (enter_env d e)) → ast_stm d e
(* dichiarazioni *)
-with ast_decl : aux_env_type → Type ≝
- AST_NO_DECL: ∀e:aux_env_type.
- list (ast_stm e) → ast_decl e
-| AST_BASE_DECL: ∀e:aux_env_type.∀c:bool.∀str:aux_str_type.∀t:ast_base_type.
- (* D *) (check_not_already_def_env e str) → option (ast_expr e t) → ast_decl (add_desc_env e str c (AST_TYPE_BASE t)) → ast_decl e
-| AST_DECL: ∀e:aux_env_type.∀c:bool.∀str:aux_str_type.∀t:ast_type.
- (* D *) (check_not_already_def_env e str) → (* D *) isnt_ast_base_type t → ast_decl (add_desc_env e str c t) → ast_decl e.
+with ast_decl : Πd:nat.aux_env_type d → Type ≝
+ AST_NO_DECL: ∀d.∀e:aux_env_type d.
+ list (ast_stm d e) → ast_decl d e
+| AST_CONST_DECL: ∀d.∀e:aux_env_type d.∀str:aux_str_type.∀t:ast_type.
+ (* D *) (check_not_already_def_env d e str) → ast_init d e t → ast_decl d (add_desc_env d e str true t) → ast_decl d e
+| AST_VAR_DECL: ∀d.∀e:aux_env_type d.∀str:aux_str_type.∀t:ast_type.
+ (* D *) (check_not_already_def_env d e str) → option (ast_init d e t) → ast_decl d (add_desc_env d e str false t) → ast_decl d e.
(* -------------------------- *)
(* programma *)
inductive ast_root : Type ≝
- AST_ROOT: ast_decl empty_env → ast_root.
+ AST_ROOT: ast_decl O empty_env → ast_root.
(* -------------------------- *)
(* programma vuoto *)
-definition empty_ast_prog ≝ AST_ROOT (AST_NO_DECL empty_env (nil ?)).
+definition empty_ast_prog ≝ AST_ROOT (AST_NO_DECL O empty_env (nil ?)).
projects / helm.git / blobdiff