You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
189 lines
5.7 KiB
189 lines
5.7 KiB
(*
|
|
* Copyright (c) 2016 - present
|
|
*
|
|
* Programming Research Laboratory (ROPAS)
|
|
* Seoul National University, Korea
|
|
* All rights reserved.
|
|
*
|
|
* This source code is licensed under the BSD style license found in the
|
|
* LICENSE file in the root directory of this source tree. An additional grant
|
|
* of patent rights can be found in the PATENTS file in the same directory.
|
|
*)
|
|
(* Abstract Array Block *)
|
|
open! IStd
|
|
open AbsLoc
|
|
open! AbstractDomain.Types
|
|
|
|
module ArrInfo = struct
|
|
type t = {offset: Itv.t; size: Itv.t; stride: Itv.t} [@@deriving compare]
|
|
|
|
type astate = t
|
|
|
|
let bot : t = {offset= Itv.bot; size= Itv.bot; stride= Itv.bot}
|
|
|
|
let initial : t = bot
|
|
|
|
let top : t = {offset= Itv.top; size= Itv.top; stride= Itv.top}
|
|
|
|
let input : t = {offset= Itv.zero; size= Itv.pos; stride= Itv.one}
|
|
|
|
let make : Itv.t * Itv.t * Itv.t -> t = fun (o, s, stride) -> {offset= o; size= s; stride}
|
|
|
|
let join : t -> t -> t =
|
|
fun a1 a2 ->
|
|
if phys_equal a1 a2 then a2
|
|
else
|
|
{ offset= Itv.join a1.offset a2.offset
|
|
; size= Itv.join a1.size a2.size
|
|
; stride= Itv.join a1.stride a2.stride }
|
|
|
|
|
|
let widen : prev:t -> next:t -> num_iters:int -> t =
|
|
fun ~prev ~next ~num_iters ->
|
|
if phys_equal prev next then next
|
|
else
|
|
{ offset= Itv.widen ~prev:prev.offset ~next:next.offset ~num_iters
|
|
; size= Itv.widen ~prev:prev.size ~next:next.size ~num_iters
|
|
; stride= Itv.widen ~prev:prev.stride ~next:next.stride ~num_iters }
|
|
|
|
|
|
let eq : t -> t -> bool =
|
|
fun a1 a2 ->
|
|
if phys_equal a1 a2 then true
|
|
else Itv.eq a1.offset a2.offset && Itv.eq a1.size a2.size && Itv.eq a1.stride a2.stride
|
|
|
|
|
|
let ( <= ) : lhs:t -> rhs:t -> bool =
|
|
fun ~lhs ~rhs ->
|
|
if phys_equal lhs rhs then true
|
|
else Itv.le ~lhs:lhs.offset ~rhs:rhs.offset && Itv.le ~lhs:lhs.size ~rhs:rhs.size
|
|
&& Itv.le ~lhs:lhs.stride ~rhs:rhs.stride
|
|
|
|
|
|
let weak_plus_size : t -> Itv.t -> t =
|
|
fun arr i -> {arr with size= Itv.join arr.size (Itv.plus i arr.size)}
|
|
|
|
|
|
let plus_offset : t -> Itv.t -> t = fun arr i -> {arr with offset= Itv.plus arr.offset i}
|
|
|
|
let minus_offset : t -> Itv.astate -> t = fun arr i -> {arr with offset= Itv.minus arr.offset i}
|
|
|
|
let diff : t -> t -> Itv.astate = fun arr1 arr2 -> Itv.minus arr1.offset arr2.offset
|
|
|
|
let subst : t -> Itv.Bound.t bottom_lifted Itv.SubstMap.t -> t =
|
|
fun arr subst_map ->
|
|
{arr with offset= Itv.subst arr.offset subst_map; size= Itv.subst arr.size subst_map}
|
|
|
|
|
|
let pp : Format.formatter -> t -> unit =
|
|
fun fmt arr -> Format.fprintf fmt "offset : %a, size : %a" Itv.pp arr.offset Itv.pp arr.size
|
|
|
|
|
|
let get_symbols : t -> Itv.Symbol.t list =
|
|
fun arr ->
|
|
let s1 = Itv.get_symbols arr.offset in
|
|
let s2 = Itv.get_symbols arr.size in
|
|
let s3 = Itv.get_symbols arr.stride in
|
|
List.concat [s1; s2; s3]
|
|
|
|
|
|
let normalize : t -> t =
|
|
fun arr ->
|
|
{ offset= Itv.normalize arr.offset
|
|
; size= Itv.normalize arr.size
|
|
; stride= Itv.normalize arr.stride }
|
|
|
|
|
|
let prune_comp : Binop.t -> t -> t -> t =
|
|
fun c arr1 arr2 -> {arr1 with offset= Itv.prune_comp c arr1.offset arr2.offset}
|
|
|
|
|
|
let prune_eq : t -> t -> t =
|
|
fun arr1 arr2 -> {arr1 with offset= Itv.prune_eq arr1.offset arr2.offset}
|
|
|
|
|
|
let prune_ne : t -> t -> t =
|
|
fun arr1 arr2 -> {arr1 with offset= Itv.prune_ne arr1.offset arr2.offset}
|
|
|
|
|
|
let set_size : Itv.t -> t -> t = fun size arr -> {arr with size}
|
|
end
|
|
|
|
include AbstractDomain.Map (Allocsite) (ArrInfo)
|
|
|
|
let bot : astate = empty
|
|
|
|
let unknown : astate = add Allocsite.unknown ArrInfo.top bot
|
|
|
|
let is_bot : astate -> bool = is_empty
|
|
|
|
let make : Allocsite.t -> Itv.t -> Itv.t -> Itv.t -> astate =
|
|
fun a o sz st -> add a (ArrInfo.make (o, sz, st)) bot
|
|
|
|
|
|
let offsetof : astate -> Itv.t = fun a -> fold (fun _ arr -> Itv.join arr.ArrInfo.offset) a Itv.bot
|
|
|
|
let sizeof : astate -> Itv.t = fun a -> fold (fun _ arr -> Itv.join arr.ArrInfo.size) a Itv.bot
|
|
|
|
let extern : string -> astate = fun allocsite -> add allocsite ArrInfo.top empty
|
|
|
|
let input : string -> astate = fun allocsite -> add allocsite ArrInfo.input empty
|
|
|
|
let weak_plus_size : astate -> Itv.t -> astate =
|
|
fun arr i -> map (fun a -> ArrInfo.weak_plus_size a i) arr
|
|
|
|
|
|
let plus_offset : astate -> Itv.t -> astate =
|
|
fun arr i -> map (fun a -> ArrInfo.plus_offset a i) arr
|
|
|
|
|
|
let minus_offset : astate -> Itv.t -> astate =
|
|
fun arr i -> map (fun a -> ArrInfo.minus_offset a i) arr
|
|
|
|
|
|
let diff : astate -> astate -> Itv.t =
|
|
fun arr1 arr2 ->
|
|
let diff_join k a2 acc =
|
|
match find k arr1 with
|
|
| a1 ->
|
|
Itv.join acc (ArrInfo.diff a1 a2)
|
|
| exception Not_found ->
|
|
Itv.top
|
|
in
|
|
fold diff_join arr2 Itv.bot
|
|
|
|
|
|
let get_pow_loc : astate -> PowLoc.t =
|
|
fun array ->
|
|
let pow_loc_of_allocsite k _ acc = PowLoc.add (Loc.of_allocsite k) acc in
|
|
fold pow_loc_of_allocsite array PowLoc.bot
|
|
|
|
|
|
let subst : astate -> Itv.Bound.t bottom_lifted Itv.SubstMap.t -> astate =
|
|
fun a subst_map -> map (fun info -> ArrInfo.subst info subst_map) a
|
|
|
|
|
|
let get_symbols : astate -> Itv.Symbol.t list =
|
|
fun a -> List.concat_map ~f:(fun (_, ai) -> ArrInfo.get_symbols ai) (bindings a)
|
|
|
|
|
|
let normalize : astate -> astate = fun a -> map ArrInfo.normalize a
|
|
|
|
let do_prune : (ArrInfo.t -> ArrInfo.t -> ArrInfo.t) -> astate -> astate -> astate =
|
|
fun arr_info_prune a1 a2 ->
|
|
if Int.equal (cardinal a2) 1 then
|
|
let k, v2 = choose a2 in
|
|
if mem k a1 then add k (arr_info_prune (find k a1) v2) a1 else a1
|
|
else a1
|
|
|
|
|
|
let prune_comp : Binop.t -> astate -> astate -> astate =
|
|
fun c a1 a2 -> do_prune (ArrInfo.prune_comp c) a1 a2
|
|
|
|
|
|
let prune_eq : astate -> astate -> astate = fun a1 a2 -> do_prune ArrInfo.prune_eq a1 a2
|
|
|
|
let prune_ne : astate -> astate -> astate = fun a1 a2 -> do_prune ArrInfo.prune_ne a1 a2
|
|
|
|
let set_size : Itv.t -> astate -> astate = fun size a -> map (ArrInfo.set_size size) a
|