X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matitaB%2Fmatita%2Fcontribs%2Fassembly%2Fcompiler%2Fast_tree.ma;fp=matitaB%2Fmatita%2Fcontribs%2Fassembly%2Fcompiler%2Fast_tree.ma;h=8ee77aeb12d70e9272d7353ee5131e206dafea89;hb=cacbe3c6493ddce76c4c13379ade271d8dd172e8;hp=0000000000000000000000000000000000000000;hpb=f04a064bb34aabaf91dc0c48e3b08b37ecd7b0a2;p=helm.git diff --git a/matitaB/matita/contribs/assembly/compiler/ast_tree.ma b/matitaB/matita/contribs/assembly/compiler/ast_tree.ma new file mode 100755 index 000000000..8ee77aeb1 --- /dev/null +++ b/matitaB/matita/contribs/assembly/compiler/ast_tree.ma @@ -0,0 +1,170 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +(* ********************************************************************** *) +(* *) +(* Sviluppato da: *) +(* Cosimo Oliboni, oliboni@cs.unibo.it *) +(* *) +(* ********************************************************************** *) + +include "compiler/environment.ma". + +(* *************** *) +(* ALBERO DI TOKEN *) +(* *************** *) + +(* id: accesso all'ambiente con stringa *) +inductive ast_id (d:nat) (e:aux_env_type d) : bool → ast_type → Type ≝ + AST_ID: ∀str:aux_str_type. + (* 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 (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 d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) +| AST_EXPR_NOT: ∀t:ast_base_type. + 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 d e (AST_TYPE_BASE t) → ast_expr d e (AST_TYPE_BASE t) + +| AST_EXPR_ADD: ∀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_SUB: ∀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_MUL: ∀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_DIV: ∀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_SHR: ∀t:ast_base_type. + 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 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 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 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 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 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 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 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 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_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 d e b t → ast_var d e b t +| AST_VAR_ARRAY: ∀b:bool.∀t:ast_type.∀n:nat. + 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 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 : 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 : 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 O empty_env → ast_root. + +(* -------------------------- *) + +(* programma vuoto *) +definition empty_ast_prog ≝ AST_ROOT (AST_NO_DECL O empty_env (nil ?)).