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166 lines
4.9 KiB
166 lines
4.9 KiB
(*
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* Copyright (c) 2016-present
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*
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* Programming Research Laboratory (ROPAS)
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* Seoul National University, Korea
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*
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* This source code is licensed under the MIT license found in the
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* LICENSE file in the root directory of this source tree.
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*)
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(* Abstract Array Block *)
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open! IStd
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open AbsLoc
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open! AbstractDomain.Types
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module ArrInfo = struct
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type t = {offset: Itv.t; size: Itv.t; stride: Itv.t} [@@deriving compare]
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type astate = t
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let top : t = {offset= Itv.top; size= Itv.top; stride= Itv.top}
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let make : offset:Itv.t -> size:Itv.t -> stride:Itv.t -> t =
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fun ~offset ~size ~stride -> {offset; size; stride}
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let join : t -> t -> t =
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fun a1 a2 ->
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if phys_equal a1 a2 then a2
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else
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{ offset= Itv.join a1.offset a2.offset
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; size= Itv.join a1.size a2.size
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; stride= Itv.join a1.stride a2.stride }
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let widen : prev:t -> next:t -> num_iters:int -> t =
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fun ~prev ~next ~num_iters ->
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if phys_equal prev next then next
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else
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{ offset= Itv.widen ~prev:prev.offset ~next:next.offset ~num_iters
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; size= Itv.widen ~prev:prev.size ~next:next.size ~num_iters
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; stride= Itv.widen ~prev:prev.stride ~next:next.stride ~num_iters }
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let ( <= ) : lhs:t -> rhs:t -> bool =
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fun ~lhs ~rhs ->
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if phys_equal lhs rhs then true
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else
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Itv.le ~lhs:lhs.offset ~rhs:rhs.offset && Itv.le ~lhs:lhs.size ~rhs:rhs.size
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&& Itv.le ~lhs:lhs.stride ~rhs:rhs.stride
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let plus_offset : t -> Itv.t -> t = fun arr i -> {arr with offset= Itv.plus arr.offset i}
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let minus_offset : t -> Itv.astate -> t = fun arr i -> {arr with offset= Itv.minus arr.offset i}
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let diff : t -> t -> Itv.astate = fun arr1 arr2 -> Itv.minus arr1.offset arr2.offset
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let subst : t -> Itv.Bound.t bottom_lifted Itv.SymbolMap.t -> t =
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fun arr subst_map ->
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{arr with offset= Itv.subst arr.offset subst_map; size= Itv.subst arr.size subst_map}
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let pp : Format.formatter -> t -> unit =
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fun fmt arr -> Format.fprintf fmt "offset : %a, size : %a" Itv.pp arr.offset Itv.pp arr.size
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let get_symbols : t -> Itv.Symbol.t list =
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fun arr ->
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let s1 = Itv.get_symbols arr.offset in
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let s2 = Itv.get_symbols arr.size in
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let s3 = Itv.get_symbols arr.stride in
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List.concat [s1; s2; s3]
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let normalize : t -> t =
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fun arr ->
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{ offset= Itv.normalize arr.offset
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; size= Itv.normalize arr.size
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; stride= Itv.normalize arr.stride }
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let prune_comp : Binop.t -> t -> t -> t =
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fun c arr1 arr2 -> {arr1 with offset= Itv.prune_comp c arr1.offset arr2.offset}
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let prune_eq : t -> t -> t =
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fun arr1 arr2 -> {arr1 with offset= Itv.prune_eq arr1.offset arr2.offset}
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let prune_ne : t -> t -> t =
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fun arr1 arr2 -> {arr1 with offset= Itv.prune_ne arr1.offset arr2.offset}
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let set_size : Itv.t -> t -> t = fun size arr -> {arr with size}
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end
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include AbstractDomain.Map (Allocsite) (ArrInfo)
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let bot : astate = empty
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let unknown : astate = add Allocsite.unknown ArrInfo.top bot
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let is_bot : astate -> bool = is_empty
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let make : Allocsite.t -> offset:Itv.t -> size:Itv.t -> stride:Itv.t -> astate =
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fun a ~offset ~size ~stride -> singleton a (ArrInfo.make ~offset ~size ~stride)
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let offsetof : astate -> Itv.t = fun a -> fold (fun _ arr -> Itv.join arr.ArrInfo.offset) a Itv.bot
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let sizeof : astate -> Itv.t = fun a -> fold (fun _ arr -> Itv.join arr.ArrInfo.size) a Itv.bot
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let plus_offset : astate -> Itv.t -> astate =
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fun arr i -> map (fun a -> ArrInfo.plus_offset a i) arr
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let minus_offset : astate -> Itv.t -> astate =
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fun arr i -> map (fun a -> ArrInfo.minus_offset a i) arr
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let diff : astate -> astate -> Itv.t =
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fun arr1 arr2 ->
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let diff_join k a2 acc =
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match find k arr1 with
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| a1 ->
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Itv.join acc (ArrInfo.diff a1 a2)
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| exception Caml.Not_found ->
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Itv.top
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in
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fold diff_join arr2 Itv.bot
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let get_pow_loc : astate -> PowLoc.t =
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fun array ->
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let pow_loc_of_allocsite k _ acc = PowLoc.add (Loc.of_allocsite k) acc in
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fold pow_loc_of_allocsite array PowLoc.bot
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let subst : astate -> Itv.Bound.t bottom_lifted Itv.SymbolMap.t -> astate =
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fun a subst_map -> map (fun info -> ArrInfo.subst info subst_map) a
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let get_symbols : astate -> Itv.Symbol.t list =
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fun a -> List.concat_map ~f:(fun (_, ai) -> ArrInfo.get_symbols ai) (bindings a)
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let normalize : astate -> astate = fun a -> map ArrInfo.normalize a
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let do_prune : (ArrInfo.t -> ArrInfo.t -> ArrInfo.t) -> astate -> astate -> astate =
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fun arr_info_prune a1 a2 ->
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if Int.equal (cardinal a2) 1 then
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let k, v2 = choose a2 in
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if mem k a1 then add k (arr_info_prune (find k a1) v2) a1 else a1
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else a1
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let prune_comp : Binop.t -> astate -> astate -> astate =
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fun c a1 a2 -> do_prune (ArrInfo.prune_comp c) a1 a2
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let prune_eq : astate -> astate -> astate = fun a1 a2 -> do_prune ArrInfo.prune_eq a1 a2
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let prune_ne : astate -> astate -> astate = fun a1 a2 -> do_prune ArrInfo.prune_ne a1 a2
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let set_size : Itv.t -> astate -> astate = fun size a -> map (ArrInfo.set_size size) a
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