sig
module F :
sig
type t
val of_float : float -> Ival.F.t
val to_float : Ival.F.t -> float
exception Nan_or_infinite
val equal : Ival.F.t -> Ival.F.t -> bool
val pretty : Format.formatter -> Ival.F.t -> unit
val pretty_normal :
use_hex:bool -> Format.formatter -> Ival.F.t -> unit
end
exception Can_not_subdiv
module Float_abstract :
sig
type t
exception Nan_or_infinite
exception Bottom
type rounding_mode = Any | Nearest_Even
type float_kind = Float32 | Float64
val inject : Ival.F.t -> Ival.F.t -> Ival.Float_abstract.t
val inject_r : Ival.F.t -> Ival.F.t -> bool * Ival.Float_abstract.t
val inject_singleton : Ival.F.t -> Ival.Float_abstract.t
val min_and_max_float : Ival.Float_abstract.t -> Ival.F.t * Ival.F.t
val top : Ival.Float_abstract.t
val add :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val sub :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val mul :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val div :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val contains_zero : Ival.Float_abstract.t -> bool
val compare : Ival.Float_abstract.t -> Ival.Float_abstract.t -> int
val pretty : Format.formatter -> Ival.Float_abstract.t -> unit
val hash : Ival.Float_abstract.t -> int
val zero : Ival.Float_abstract.t
val is_zero : Ival.Float_abstract.t -> bool
val is_included :
Ival.Float_abstract.t -> Ival.Float_abstract.t -> bool
val join :
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> Ival.Float_abstract.t
val meet :
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> Ival.Float_abstract.t
val contains_a_zero : Ival.Float_abstract.t -> bool
val is_singleton : Ival.Float_abstract.t -> bool
val minus_one_one : Ival.Float_abstract.t
val neg : Ival.Float_abstract.t -> Ival.Float_abstract.t
val cos : Ival.Float_abstract.t -> Ival.Float_abstract.t
val cos_precise : Ival.Float_abstract.t -> Ival.Float_abstract.t
val sin : Ival.Float_abstract.t -> Ival.Float_abstract.t
val sin_precise : Ival.Float_abstract.t -> Ival.Float_abstract.t
val sqrt :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val exp :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val log :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val log10 :
Ival.Float_abstract.rounding_mode ->
Ival.Float_abstract.t -> bool * Ival.Float_abstract.t
val widen :
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> Ival.Float_abstract.t
val equal_float_ieee :
Ival.Float_abstract.t -> Ival.Float_abstract.t -> bool * bool
val maybe_le_ieee_float :
Ival.Float_abstract.t -> Ival.Float_abstract.t -> bool
val maybe_lt_ieee_float :
Ival.Float_abstract.t -> Ival.Float_abstract.t -> bool
val diff :
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> Ival.Float_abstract.t
val filter_le_ge_lt_gt :
Cil_types.binop ->
bool ->
Ival.Float_abstract.float_kind ->
Ival.Float_abstract.t ->
Ival.Float_abstract.t -> Ival.Float_abstract.t
end
type tt = private
Set of Abstract_interp.Int.t array
| Float of Ival.Float_abstract.t
| Top of Abstract_interp.Int.t option * Abstract_interp.Int.t option *
Abstract_interp.Int.t * Abstract_interp.Int.t
module Widen_Hints :
sig
type elt = Integer.t
type t
val empty : t
val is_empty : t -> bool
val mem : elt -> t -> bool
val add : elt -> t -> t
val singleton : elt -> t
val remove : elt -> t -> t
val union : t -> t -> t
val inter : t -> t -> t
val diff : t -> t -> t
val subset : t -> t -> bool
val iter : (elt -> unit) -> t -> unit
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
val for_all : (elt -> bool) -> t -> bool
val exists : (elt -> bool) -> t -> bool
val filter : (elt -> bool) -> t -> t
val partition : (elt -> bool) -> t -> t * t
val cardinal : t -> int
val elements : t -> elt list
val choose : t -> elt
val split : elt -> t -> t * bool * t
val find : elt -> t -> elt
val of_list : elt list -> t
val min_elt : t -> elt
val max_elt : t -> elt
val nearest_elt_le : elt -> t -> elt
val nearest_elt_ge : elt -> t -> elt
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
val default_widen_hints : t
val hints_for_signed_int_types : unit -> t
end
exception Error_Bottom
type t = tt
module Set :
sig
type elt = t
type t
val empty : t
val is_empty : t -> bool
val mem : elt -> t -> bool
val add : elt -> t -> t
val singleton : elt -> t
val remove : elt -> t -> t
val union : t -> t -> t
val inter : t -> t -> t
val diff : t -> t -> t
val subset : t -> t -> bool
val iter : (elt -> unit) -> t -> unit
val fold : (elt -> 'a -> 'a) -> t -> 'a -> 'a
val for_all : (elt -> bool) -> t -> bool
val exists : (elt -> bool) -> t -> bool
val filter : (elt -> bool) -> t -> t
val partition : (elt -> bool) -> t -> t * t
val cardinal : t -> int
val elements : t -> elt list
val choose : t -> elt
val split : elt -> t -> t * bool * t
val find : elt -> t -> elt
val of_list : elt list -> t
val min_elt : t -> elt
val max_elt : t -> elt
val nearest_elt_le : elt -> t -> elt
val nearest_elt_ge : elt -> t -> elt
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
end
module Map :
sig
type key = t
type +'a t
val empty : 'a t
val is_empty : 'a t -> bool
val mem : key -> 'a t -> bool
val add : key -> 'a -> 'a t -> 'a t
val singleton : key -> 'a -> 'a t
val remove : key -> 'a t -> 'a t
val merge :
(key -> 'a option -> 'b option -> 'c option) -> 'a t -> 'b t -> 'c t
val compare : ('a -> 'a -> int) -> 'a t -> 'a t -> int
val equal : ('a -> 'a -> bool) -> 'a t -> 'a t -> bool
val iter : (key -> 'a -> unit) -> 'a t -> unit
val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val for_all : (key -> 'a -> bool) -> 'a t -> bool
val exists : (key -> 'a -> bool) -> 'a t -> bool
val filter : (key -> 'a -> bool) -> 'a t -> 'a t
val partition : (key -> 'a -> bool) -> 'a t -> 'a t * 'a t
val cardinal : 'a t -> int
val bindings : 'a t -> (key * 'a) list
val min_binding : 'a t -> key * 'a
val max_binding : 'a t -> key * 'a
val choose : 'a t -> key * 'a
val split : key -> 'a t -> 'a t * 'a option * 'a t
val find : key -> 'a t -> 'a
val map : ('a -> 'b) -> 'a t -> 'b t
val mapi : (key -> 'a -> 'b) -> 'a t -> 'b t
module Key :
sig
type t = key
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
end
module Make :
functor (Data : Datatype.S) ->
sig
type t = Data.t t
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
end
end
module Hashtbl :
sig
type key = t
type 'a t
val create : int -> 'a t
val clear : 'a t -> unit
val reset : 'a t -> unit
val copy : 'a t -> 'a t
val add : 'a t -> key -> 'a -> unit
val remove : 'a t -> key -> unit
val find : 'a t -> key -> 'a
val find_all : 'a t -> key -> 'a list
val replace : 'a t -> key -> 'a -> unit
val mem : 'a t -> key -> bool
val iter : (key -> 'a -> unit) -> 'a t -> unit
val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val length : 'a t -> int
val stats : 'a t -> Hashtbl.statistics
val iter_sorted :
?cmp:(key -> key -> int) -> (key -> 'a -> unit) -> 'a t -> unit
val fold_sorted :
?cmp:(key -> key -> int) ->
(key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val iter_sorted_by_entry :
cmp:(key * 'a -> key * 'a -> int) ->
(key -> 'a -> unit) -> 'a t -> unit
val fold_sorted_by_entry :
cmp:(key * 'a -> key * 'a -> int) ->
(key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val iter_sorted_by_value :
cmp:('a -> 'a -> int) -> (key -> 'a -> unit) -> 'a t -> unit
val fold_sorted_by_value :
cmp:('a -> 'a -> int) -> (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b
val structural_descr : Structural_descr.t -> Structural_descr.t
val make_type : 'a Type.t -> 'a t Type.t
val memo : 'a t -> key -> (key -> 'a) -> 'a
module Key :
sig
type t = key
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
end
module Make :
functor (Data : Datatype.S) ->
sig
type t = Data.t t
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code :
Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
end
end
val ty : t Type.t
val name : string
val descr : t Descr.t
val packed_descr : Structural_descr.pack
val reprs : t list
val equal : t -> t -> bool
val compare : t -> t -> int
val hash : t -> int
val pretty_code : Format.formatter -> t -> unit
val internal_pretty_code : Type.precedence -> Format.formatter -> t -> unit
val pretty : Format.formatter -> t -> unit
val varname : t -> string
val mem_project : (Project_skeleton.t -> bool) -> t -> bool
val copy : t -> t
val join : t -> t -> t
val is_included : t -> t -> bool
val join_and_is_included : t -> t -> t * bool
val bottom : t
val top : t
type widen_hint = Widen_Hints.t
val widen : widen_hint -> t -> t -> t
val narrow : t -> t -> t
val link : t -> t -> t
val meet : t -> t -> t
val intersects : t -> t -> bool
val diff : t -> t -> t
val diff_if_one : t -> t -> t
exception Error_Top
val is_bottom : t -> bool
val partially_overlaps : size:Abstract_interp.Int.t -> t -> t -> bool
val add_int : t -> t -> t
val add_int_under : t -> t -> t
val add_singleton_int : Integer.t -> t -> t
val neg_int : t -> t
val sub_int : t -> t -> t
val sub_int_under : t -> t -> t
val min_int : t -> Abstract_interp.Int.t option
val max_int : t -> Abstract_interp.Int.t option
val min_max_r_mod :
t ->
Abstract_interp.Int.t option * Abstract_interp.Int.t option *
Abstract_interp.Int.t * Abstract_interp.Int.t
val min_and_max :
t -> Abstract_interp.Int.t option * Abstract_interp.Int.t option
val bitwise_and : size:int -> signed:bool -> t -> t -> t
val bitwise_or : t -> t -> t
val bitwise_xor : t -> t -> t
val min_and_max_float : t -> Ival.F.t * Ival.F.t
val zero : t
val one : t
val minus_one : t
val is_zero : t -> bool
val is_one : t -> bool
val top_float : t
val top_single_precision_float : t
val project_float : t -> Ival.Float_abstract.t
val force_float : Cil_types.fkind -> t -> bool * t
val in_interval :
Abstract_interp.Int.t ->
Abstract_interp.Int.t option ->
Abstract_interp.Int.t option ->
Abstract_interp.Int.t -> Abstract_interp.Int.t -> bool
val contains_zero : t -> bool
val inject_singleton : Abstract_interp.Int.t -> t
val inject_float : Ival.Float_abstract.t -> t
val inject_float_interval : float -> float -> t
val inject_range :
Abstract_interp.Int.t option -> Abstract_interp.Int.t option -> t
val inject_top :
Abstract_interp.Int.t option ->
Abstract_interp.Int.t option ->
Abstract_interp.Int.t -> Abstract_interp.Int.t -> t
val cardinal_zero_or_one : t -> bool
val is_singleton_int : t -> bool
exception Not_Singleton_Int
val project_int : t -> Abstract_interp.Int.t
val cardinal : t -> Integer.t option
val cardinal_less_than : t -> int -> int
val fold_int : (Abstract_interp.Int.t -> 'a -> 'a) -> t -> 'a -> 'a
val fold_enum : (t -> 'a -> 'a) -> t -> 'a -> 'a
val fold_split : split:int -> (t -> 'a -> 'a) -> t -> 'a -> 'a
val apply_set :
(Abstract_interp.Int.t -> Abstract_interp.Int.t -> Abstract_interp.Int.t) ->
t -> t -> t
val apply_set_unary :
'a -> (Abstract_interp.Int.t -> Abstract_interp.Int.t) -> t -> t
val singleton_zero : t
val singleton_one : t
val zero_or_one : t
val contains_non_zero : t -> bool
val subdiv_float_interval : size:int -> t -> t * t
val subdiv : size:int -> t -> t * t
val compare_min_float : t -> t -> int
val compare_max_float : t -> t -> int
val compare_min_int : t -> t -> int
val compare_max_int : t -> t -> int
val scale : Abstract_interp.Int.t -> t -> t
val scale_div : pos:bool -> Abstract_interp.Int.t -> t -> t
val scale_div_under : pos:bool -> Abstract_interp.Int.t -> t -> t
val negative : t
val div : t -> t -> t
val scale_rem : pos:bool -> Abstract_interp.Int.t -> t -> t
val c_rem : t -> t -> t
val mul : t -> t -> t
val shift_left : t -> t -> t
val shift_right : t -> t -> t
val interp_boolean : contains_zero:bool -> contains_non_zero:bool -> t
val extract_bits :
start:Abstract_interp.Int.t ->
stop:Abstract_interp.Int.t -> size:Abstract_interp.Int.t -> t -> t
val create_all_values :
modu:Abstract_interp.Int.t -> signed:bool -> size:int -> t
val all_values : size:Abstract_interp.Int.t -> t -> bool
val filter_le_ge_lt_gt_int : Cil_types.binop -> t -> t -> t
val filter_le_ge_lt_gt_float :
Cil_types.binop -> bool -> Ival.Float_abstract.float_kind -> t -> t -> t
val compare_max_min : Integer.t option -> Integer.t option -> int
val compare_min_max : Integer.t option -> Integer.t option -> int
val compare_C :
(Integer.t option ->
Integer.t option -> Integer.t option -> Integer.t option -> 'a) ->
t -> t -> 'a
val max_max : Integer.t option -> Integer.t option -> Integer.t option
val scale_int_base : Int_Base.t -> t -> t
val cast_float_to_int :
signed:bool -> size:int -> t -> bool * (bool * bool) * t
val cast_float_to_int_inverse : single_precision:bool -> Ival.tt -> Ival.tt
val of_int : int -> t
val of_int64 : int64 -> t
val cast_int_to_float : Ival.Float_abstract.rounding_mode -> t -> bool * t
val cast : size:Integer.t -> signed:bool -> value:t -> t
val cast_float :
rounding_mode:Ival.Float_abstract.rounding_mode -> t -> bool * t
val cast_double : t -> bool * t
val pretty_debug : Format.formatter -> t -> unit
val get_small_cardinal : unit -> int
val set_small_cardinal : int -> unit
end