Ajout des fonctions.

This commit is contained in:
Mysaa 2022-01-24 23:53:08 +01:00
parent bd7489bf59
commit 08ee9787f2
Signed by: Mysaa
GPG Key ID: 7054D5D6A90F084F
3 changed files with 95 additions and 23 deletions

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@ -3,18 +3,17 @@ open Expr
let rec affiche_val v = match v with let rec affiche_val v = match v with
| VInt k -> print_int k | VInt k -> print_int k
| VBool b -> print_string (if b then "Vrai" else "Faux") | VBool b -> print_string (if b then "Vrai" else "Faux")
| VFunc (v,e) -> print_string "fun ";print_string v;print_string " -> ";affiche_expr e | VFunc (v,e) -> print_string "Fun(";print_string v;print_string " -> ";affiche_expr e;print_string ")"
(* fonction d'affichage *) (* fonction d'affichage *)
and affiche_expr e = and affiche_expr e =
let aff_aux s a b = let aff_aux s a b =
begin begin
print_string s; print_string s;
affiche_expr a; affiche_expr a;
print_string ", "; print_string ", ";
affiche_expr b; affiche_expr b;
print_string ")" print_string ")"
end end
in in
match e with match e with
@ -44,3 +43,35 @@ and affiche_expr e =
| LetIn(x,e0,e1) -> print_string "LetIn(";print_string x;print_string ",";affiche_expr e0;print_string ",";affiche_expr e1;print_string ")" | LetIn(x,e0,e1) -> print_string "LetIn(";print_string x;print_string ",";affiche_expr e0;print_string ",";affiche_expr e1;print_string ")"
| Fun(v,e) -> affiche_val (VFunc(v,e)) | Fun(v,e) -> affiche_val (VFunc(v,e))
| App(e1,e2) -> aff_aux "App(" e1 e2 | App(e1,e2) -> aff_aux "App(" e1 e2
let dump_env_line x =
let (e,v) = x in
begin
print_string e;
print_string " -> ";
affiche_val v
end
let dump_env env =
begin
print_string "[";
let rec aux l =
begin
match l with
| [] -> ()
| [e] -> dump_env_line e
| e::t ->
begin
dump_env_line e;
print_string ";";
aux t
end
end
in aux env;
print_string "]"
end

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@ -1,3 +1,5 @@
open List
(* définition des différents types : tout est à reprendre et étendre *) (* définition des différents types : tout est à reprendre et étendre *)
type expr = type expr =
Const of int Const of int
@ -25,24 +27,56 @@ type env = (string*valeur) list
let empty_env = [] let empty_env = []
exception InvalidTypeException exception InvalidTypeException of (string*valeur) (** expected, given **)
exception UnknownVariableException exception UnknownVariableException of (string*env) (** query, env **)
let valToConstExpr v = match v with
| VInt(k) -> Const(k)
| VBool(b) -> BConst(b)
| VFunc(var,e) -> Fun(var,e)
let rec readVar env v0 e = match env with let rec readVar env v0 e = match env with
| [] -> raise e | [] -> raise e
| (v,x)::t -> if (v0 = v) then x else readVar t v0 e | (v,x)::t -> if (v0 = v) then x else readVar t v0 e
let rec decontextifier e env = match e with
| Const(_) | BConst(_)-> e
| Fun(v,e) -> Fun(v,decontextifier e (filter (fun (var,x)->not (v=var)) env)) (* On enlève de l'environnement toutes les occurences de v *)
| Add(e1,e2) -> Add(decontextifier e1 env, decontextifier e2 env)
| Mul(e1,e2) -> Mul(decontextifier e1 env, decontextifier e2 env)
| Min(e1,e2) -> Min(decontextifier e1 env, decontextifier e2 env)
| Gt(e1,e2) -> Gt(decontextifier e1 env, decontextifier e2 env)
| Lt(e1,e2) -> Lt(decontextifier e1 env, decontextifier e2 env)
| Gte(e1,e2) -> Gte(decontextifier e1 env, decontextifier e2 env)
| Lte(e1,e2) -> Lte(decontextifier e1 env, decontextifier e2 env)
| Eq(e1,e2) -> Eq(decontextifier e1 env, decontextifier e2 env)
| Band(e1,e2) -> Band(decontextifier e1 env, decontextifier e2 env)
| Bor(e1,e2) -> Bor(decontextifier e1 env, decontextifier e2 env)
| ITE(ec,e1,e2) -> ITE(decontextifier ec env, decontextifier e1 env, decontextifier e2 env)
| PrInt e1 -> PrInt(decontextifier e1 env)
| Var(v) ->
begin
try
valToConstExpr (readVar env v (UnknownVariableException (v,env)))
with UnknownVariableException(_,_) -> Var(v) (* Si ce n'est pas dans le contexte, on ne décontextualise pas *)
end
| LetIn(v,e0,e1) -> LetIn(v,decontextifier e0 env, decontextifier e1 (filter (fun (var,x)->not (v=var)) env))
| App(e0,e1) -> App(decontextifier e0 env, decontextifier e1 env)
let rec intIntOp op e1 e2 env = match (eval e1 env, eval e2 env) with let rec intIntOp op e1 e2 env = match (eval e1 env, eval e2 env) with
| VInt k1,VInt k2 -> VInt(op k1 k2) | VInt k1,VInt k2 -> VInt(op k1 k2)
| _ -> raise InvalidTypeException | x,VInt k2 -> raise (InvalidTypeException ("Int",x))
| _,y -> raise (InvalidTypeException ("Int",y))
and intBoolOp op e1 e2 env = match (eval e1 env, eval e2 env) with and intBoolOp op e1 e2 env = match (eval e1 env, eval e2 env) with
| VInt k1,VInt k2 -> VBool(op k1 k2) | VInt k1,VInt k2 -> VBool(op k1 k2)
| _ -> raise InvalidTypeException | x,VInt k2 -> raise (InvalidTypeException ("Int",x))
| _,y -> raise (InvalidTypeException ("Int",y))
(* sémantique opérationnelle à grands pas *) (* sémantique opérationnelle à grands pas *)
and eval e env = match e with and eval e env = match e with
| Const(k) -> VInt k | Const(k) -> VInt k
| BConst(b) -> VBool b | BConst(b) -> VBool b
| Fun(v,e) -> VFunc(v,e) | Fun(v,e) -> VFunc(v,decontextifier e (filter (fun (var,_)->not (v=var)) env)) (* On enlève de l'environnement toutes les occurences de v *)
| Add(e1,e2) -> intIntOp ( + ) e1 e2 env | Add(e1,e2) -> intIntOp ( + ) e1 e2 env
| Mul(e1,e2) -> intIntOp ( * ) e1 e2 env | Mul(e1,e2) -> intIntOp ( * ) e1 e2 env
| Min(e1,e2) -> intIntOp ( - ) e1 e2 env | Min(e1,e2) -> intIntOp ( - ) e1 e2 env
@ -53,21 +87,24 @@ and eval e env = match e with
| Eq(e1,e2) -> (match (eval e1 env, eval e2 env) with | Eq(e1,e2) -> (match (eval e1 env, eval e2 env) with
| VInt k1,VInt k2 -> VBool (k1=k2) | VInt k1,VInt k2 -> VBool (k1=k2)
| VBool k1,VBool k2 -> VBool (k1=k2) | VBool k1,VBool k2 -> VBool (k1=k2)
| _ -> raise InvalidTypeException) | (x,y) -> raise (InvalidTypeException ("mismatch",x)))
| Band(e1,e2) -> (match (eval e1 env, eval e2 env) with | Band(e1,e2) -> (match (eval e1 env, eval e2 env) with
| VBool b1,VBool b2 -> VBool (b1 && b2) | VBool b1,VBool b2 -> VBool (b1 && b2)
| _ -> raise InvalidTypeException) | x,VBool k2 -> raise (InvalidTypeException ("Bool",x))
| _,y -> raise (InvalidTypeException ("Bool",y)))
| Bor(e1,e2) -> (match (eval e1 env, eval e2 env) with | Bor(e1,e2) -> (match (eval e1 env, eval e2 env) with
| VBool b1,VBool b2 -> VBool (b1 || b2) | VBool b1,VBool b2 -> VBool (b1 || b2)
| _ -> raise InvalidTypeException) | x,VBool k2 -> (raise (InvalidTypeException ("Bool",x)))
| _,y -> raise (InvalidTypeException ("Bool",y)))
| ITE(ec,e1,e2) -> (match (eval ec env) with | ITE(ec,e1,e2) -> (match (eval ec env) with
| VBool bc -> eval (if bc then e1 else e2) env | VBool bc -> eval (if bc then e1 else e2) env
| _ -> raise InvalidTypeException) | x -> raise (InvalidTypeException ("Bool",x)))
| PrInt e1 -> (match (eval e1 env) with | PrInt e1 -> (match (eval e1 env) with
| VInt k -> VInt k | VInt k -> VInt k
| _ -> raise InvalidTypeException) | x -> raise (InvalidTypeException ("Int",x)))
| Var(v) -> readVar env v UnknownVariableException | Var(v) -> readVar env v (UnknownVariableException (v,env))
| LetIn(v,e0,e1) -> eval e1 ((v,eval e0 env)::env) | LetIn(v,e0,e1) -> eval e1 ((v,eval e0 env)::env)
| App(e0,e1) -> (match (eval e0 env) with | App(e0,e1) -> (match (eval e0 env) with
| VFunc(v,e) -> eval (LetIn(v,e1,e)) env (* On utilise l'équivalence (fun x->e) y <=> let x=y in e *) | VFunc(v,e) -> eval (LetIn(v,e1,e)) env (* On utilise l'équivalence (fun x->e) y <=> let x=y in e *)
| _ -> raise InvalidTypeException) | x -> raise (InvalidTypeException ("Func",x)))

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@ -43,20 +43,24 @@ let rec affiche_printexpr e env = begin
match e with match e with
| PrInt e -> (match (eval e env) with | PrInt e -> (match (eval e env) with
| VInt(k) -> print_int k;print_newline () | VInt(k) -> print_int k;print_newline ()
| _ -> raise InvalidTypeException) | x -> raise (InvalidTypeException ("Int",x)))
| _ -> () | _ -> ()
end end
(* le traitement d'une expression en entrée *) (* le traitement d'une expression en entrée *)
let execute e = let execute e =
try
begin begin
affiche_expr e; affiche_expr e;
print_newline(); print_newline ();
affiche_printexpr e Expr.empty_env; affiche_printexpr e Expr.empty_env;
print_newline(); print_newline ();
let v = Expr.eval e Expr.empty_env in let v = Expr.eval e Expr.empty_env in
affiche_val v; affiche_val v;
print_newline() print_newline ()
end end
with
| InvalidTypeException(expected, valeur) -> print_string "La valeur ";affiche_val valeur;print_string " a été donnée alors que on souhaitait avoir le type ";print_string expected;print_newline ()
| UnknownVariableException(varname, env) -> print_string "Impossible de trouver la variable '";print_string varname;print_string "' dans l'environnement ";dump_env env;print_newline ()
(* la boucle principale *) (* la boucle principale *)
let calc () = let calc () =