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open Value_domain
module Constants : VALUE_DOMAIN = struct
type t =
| Top
| Int of Z.t
| Bot
let top = Top
let bottom = Bot
let const i = Int i
let rand i j = if i > j then Bot else if i <> j then Top else Int i
let subset a b = match a, b with
| _, Top -> true
| Bot, _ -> true
| Int a, Int b -> a = b
| _, _ -> false
let join a b = match a, b with
| Bot, x | x, Bot -> x
| Int a, Int b when a = b -> Int a
| _ -> Top
let meet a b = match a, b with
| Top, x | x, Top -> x
| Int a, Int b when a = b -> Int a
| _ -> Bot
let widen = join (* pas besoin d'accélerer la convergence au-delà *)
let neg = function
| Int a -> Int (Z.neg a)
| x -> x
let b_aux op a b = match a, b with
| Int x, Int y -> Int (op x y)
| Bot, _ | _, Bot -> Bot
| _ -> Top
let add = b_aux Z.add
let sub = b_aux Z.sub
let mul a b = match a, b with
| Int x, Int y -> Int (Z.mul x y)
| Bot, _ | _, Bot -> Bot
| Int x, _ when x = Z.zero -> Int Z.zero
| _, Int x when x = Z.zero -> Int (Z.zero)
| _ -> Top
let div a b = match a, b with
| Int x, Int y -> Int (Z.div x y)
| Bot, _ | _, Bot -> Bot
| Int x, _ when x = Z.zero -> Int Z.zero
| _ -> Top
let rem a b = match a, b with
| Int x, Int y -> Int (Z.rem x y)
| Bot, _ | _, Bot -> Bot
| Int x, _ when x = Z.zero -> Int Z.zero
| _ -> Top
let leq a b =
match a, b with
| Int a, Int b ->
if Z.leq a b
then Int a, Int b
else Bot, Bot
| x, y -> x, y
let to_string = function
| Bot -> "bot"
| Top -> "top"
| Int i -> "{" ^ (Z.to_string i) ^ "}"
end
|
