File: ASLScalar.ml

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(******************************************************************************)
(*                           the diy toolsuite                                *)
(*                                                                            *)
(* Jade Alglave, University College London, UK.                               *)
(* Luc Maranget, INRIA Paris-Rocquencourt, France.                            *)
(*                                                                            *)
(* Copyright 2015-present Institut National de Recherche en Informatique et   *)
(* en Automatique, ARM Ltd and the authors. All rights reserved.              *)
(*                                                                            *)
(* This software is governed by the CeCILL-B license under French law and     *)
(* abiding by the rules of distribution of free software. You can use,        *)
(* modify and/ or redistribute the software under the terms of the CeCILL-B   *)
(* license as circulated by CEA, CNRS and INRIA at the following URL          *)
(* "http://www.cecill.info". We also give a copy in LICENSE.txt.              *)
(******************************************************************************)
(* Authors:                                                                   *)
(* Hadrien Renaud, University College London, UK.                             *)
(* Luc Maranget, INRIA Paris-Rocquencourt, France.                            *)
(******************************************************************************)
(* Disclaimer:                                                                *)
(* This material covers both ASLv0 (viz, the existing ASL pseudocode language *)
(* which appears in the Arm Architecture Reference Manual) and ASLv1, a new,  *)
(* experimental, and as yet unreleased version of ASL.                        *)
(* This material is work in progress, more precisely at pre-Alpha quality as  *)
(* per Arm’s quality standards.                                               *)
(* In particular, this means that it would be premature to base any           *)
(* production tool development on this material.                              *)
(* However, any feedback, question, query and feature request would be most   *)
(* welcome; those can be sent to Arm’s Architecture Formal Team Lead          *)
(* Jade Alglave <jade.alglave@arm.com>, or by raising issues or PRs to the    *)
(* herdtools7 github repository.                                              *)
(******************************************************************************)

module BV = Asllib.Bitvector
module AST = Asllib.AST

type t =
  | S_Int of Z.t
  | S_Bool of bool
  | S_BitVector of BV.t
  | S_Label of String.t

let machsize = MachSize.Quad (* Irrelevant here? *)
let unique_zero = false
let zero = S_Int Z.zero
let one = S_Int Z.one
let zeros sz = S_BitVector (BV.zeros sz)

(*
 * Integer dump is made assuming a 64bits basis.
 * For instance '-1' in hexadecimal will be printed as
 * 0xffffffffffffffff and not as 0x-1
 *)

let z63 = Z.shift_left Z.one (MachSize.nbits machsize - 1)
let z64 = Z.shift_left Z.one (MachSize.nbits machsize)
let norm_unsigned z = if Z.sign z < 0 then Z.add z z64 else z

let norm_signed z =
  let z = Z.erem z z64 in
  if Z.geq z z63 then Z.sub z z64 else z

let z_format_hexa z = "0x" ^ Z.format "%x" z

let pp hexa = function
  | S_Int i -> if hexa then z_format_hexa (norm_unsigned i) else Z.format "%d" i
  | S_Bool true -> "TRUE"
  | S_Bool false -> "FALSE"
  | S_BitVector bv ->
      if hexa then z_format_hexa (BV.to_z_unsigned bv) else BV.to_string bv
  | S_Label s -> s

let pp_unsigned hexa = function
  | S_Int i ->
      let i = norm_unsigned i in
      if hexa then z_format_hexa i else Z.format "%d" i
  | S_Bool true -> "TRUE"
  | S_Bool false -> "FALSE"
  | S_BitVector bv ->
      if hexa then z_format_hexa (BV.to_z_unsigned bv) else BV.to_string bv
  | S_Label s -> s

let of_string s =
  try S_Int (Z.of_string s)
  with Invalid_argument _ -> (
    match s with
    | "TRUE" -> S_Bool true
    | "FALSE" -> S_Bool false
    | _ -> S_BitVector (BV.of_string s))

let of_int i = S_Int (Z.of_int i)

let to_int = function
  | S_Int i -> Z.to_int (norm_signed i)
  | S_Bool true -> 1
  | S_Bool false -> 0
  | S_BitVector bv -> BV.to_int_signed bv
  | S_Label _ -> Warn.fatal "Trying to convert a label to int"

let of_int64 i = S_Int (Z.of_int64 i)

let to_int64 = function
  | S_Int i -> Z.to_int64 i
  | S_Bool true -> Int64.one
  | S_Bool false -> Int64.zero
  | S_BitVector bv -> BV.to_int64_signed bv
  | S_Label _ -> Warn.fatal "Trying to convert a label to int"

let as_bool = function
  | S_Bool b -> Some b
  | _ -> None

let s_true = S_Bool true
let s_false = S_Bool false

let to_native_value = function
  | S_Int i -> AST.L_Int i
  | S_Bool b -> AST.L_Bool b
  | S_BitVector bv -> AST.L_BitVector bv
  | S_Label s -> AST.L_Label s

  let compare s1 s2 =
    match (s1, s2) with
    | S_Int i1, S_Int i2 -> Z.compare i1 i2
    | S_Bool b1, S_Bool b2 -> Bool.compare b1 b2
    | S_BitVector bv1, S_BitVector bv2 -> BV.compare bv1 bv2
    | S_Label s1, S_Label s2 -> String.compare s1 s2
    | S_Int _, (S_Bool _ | S_BitVector _ | S_Label _)
    | S_Bool _, (S_BitVector _ | S_Label _)
    | S_BitVector _, S_Label _ ->
        -1
    | (S_Bool _ | S_BitVector _ | S_Label _), S_Int _
    | (S_BitVector _ | S_Label _), S_Bool _
    | S_Label _, S_BitVector _ ->
        1

let unsigned_compare s1 s2 =
  let i1 = to_int64 s1 and i2 = to_int64 s2 in
  Int64.unsigned_compare i1 i2

  let equal s1 s2 =
    match (s1, s2) with
    | S_Int i1, S_Int i2 -> Z.equal i1 i2
    | S_Bool b1, S_Bool b2 -> b1 = b2
    | S_BitVector bv1, S_BitVector bv2 -> BV.equal bv1 bv2
    | S_Label s1, S_Label s2 -> String.equal s1 s2
    | _ -> false

    let zop_expressive pp_op op s1 s2 =
    match (s1, s2) with
    | S_Int i1, S_Int i2 -> S_Int (op i1 i2)
    | S_BitVector bv1, S_Int i2 ->
        let sz = BV.length bv1 in
        S_BitVector (bv1 |> BV.to_z_unsigned |> op i2 |> BV.of_z sz)
    | S_BitVector bv1, S_BitVector bv2 when BV.length bv1 = BV.length bv2 ->
        let z1 = BV.to_z_unsigned bv1 and z2 = BV.to_z_unsigned bv2 in
        let z = op z1 z2 in
        S_BitVector (BV.of_z (BV.length bv1) z)
    | _ ->
        Warn.fatal "ASLScalar invalid op: %s %s %s" (pp false s1) pp_op
          (pp false s2)

let add = zop_expressive "add" Z.add
and sub = zop_expressive "sub" Z.sub

let zop pp_op op s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> S_Int (op i1 i2)
  | _ ->
      Warn.fatal "ASLScalar invalid op: %s %s %s" pp_op (pp false s1)
        (pp false s2)

let asl_rem z1 z2 = Z.sub z1 (Z.mul z2 (Z.fdiv z1 z2))
let mul = zop "mul" Z.mul
and div = zop "div" Z.divexact
and rem = zop "rem" asl_rem

let logor s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> S_Int (Z.logor i1 i2)
  | S_Bool b1, S_Bool b2 -> S_Bool (b1 || b2)
  | S_BitVector bv1, S_BitVector bv2 -> S_BitVector (BV.logor bv1 bv2)
  | _ -> Warn.fatal "ASLScalar invalid op: %s OR %s" (pp false s1) (pp false s2)

let logand s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> S_Int (Z.logand i1 i2)
  | S_Bool b1, S_Bool b2 -> S_Bool (b1 && b2)
  | S_BitVector bv1, S_BitVector bv2 -> S_BitVector (BV.logand bv1 bv2)
  | _ ->
      Warn.fatal "ASLScalar invalid op: %s logand %s" (pp false s1)
        (pp false s2)

let logxor s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> S_Int (Z.logxor i1 i2)
  | S_Bool b1, S_Bool b2 -> S_Bool (b1 != b2)
  | S_BitVector bv1, S_BitVector bv2 -> S_BitVector (BV.logxor bv1 bv2)
  | _ ->
      Warn.fatal "ASLScalar invalid op: %s logxor %s" (pp false s1)
        (pp false s2)

  let lognot = function
  | S_Int i -> S_Int (Z.lognot i)
  | S_Bool b -> S_Bool (not b)
  | S_BitVector bv -> S_BitVector (BV.lognot bv)
  | S_Label s -> Warn.fatal "ASLScalar invalid op: lognot label %s" s

let abs = function
  | S_Int i -> S_Int (Z.abs i)
  | s -> Warn.fatal "ASLScalar invalid op: %s abs" (pp false s)

let shift_left = function
  | S_Int i -> fun k -> S_Int (Z.shift_left i k)
  | s1 -> Warn.fatal "ASLScalar invalid op: %s shift_left" (pp false s1)

let shift_right_logical s1 _k =
  Warn.fatal "ASLScalar invalid op: %s shift_right_logical" (pp false s1)

let shift_right_arithmetic = function
  | S_Int i -> fun k -> S_Int (Z.shift_right i k)
  | s1 ->
      Warn.fatal "ASLScalar invalid op: %s shift_right_arithmetic" (pp false s1)

let addk = function
| S_Int i -> fun k -> S_Int (Z.add i (Z.of_int k))
| S_BitVector bv ->
    fun k ->
      S_BitVector
        (BV.to_z_unsigned bv |> Z.add (Z.of_int k) |> BV.of_z (BV.length bv))
| s1 -> Warn.fatal "ASLScalar invalid op: %s addk" (pp false s1)

let bit_at i1 = function
  | S_Int i2 ->
      let r = if Z.testbit i2 i1 then Z.one else Z.zero in
      S_Int r
  | S_BitVector bv -> S_BitVector (BV.extract_slice bv [ i1 ])
  | s1 -> Warn.fatal "ASLScalar invalid op: %s bit_at" (pp false s1)

let lt s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> Z.lt i1 i2
  | _ -> Warn.fatal "ASLScalar invalid op: %s lt %s" (pp false s1) (pp false s2)

let le s1 s2 =
  match (s1, s2) with
  | S_Int i1, S_Int i2 -> Z.leq i1 i2
  | _ -> Warn.fatal "ASLScalar invalid op: %s le %s" (pp false s1) (pp false s2)

let do_mask sz z =
  let nsz = MachSize.nbits sz in
  let msk = Z.sub (Z.shift_left Z.one nsz) Z.one in
  Z.logand z msk

let mask sz = function
  | S_Int i -> S_Int (do_mask sz i)
  | S_BitVector bv ->
      let n' = MachSize.nbits sz in
      let n = BV.length bv in
      if n = n' then S_BitVector bv
      else if n' > n then S_BitVector (BV.concat [ BV.zeros (n' - n); bv ])
      else S_BitVector (BV.extract_slice bv (List.init n' (( - ) (n' - 1))))
  | s -> Warn.fatal "ASLScalar invalid op: _ mask %s" (pp false s)

let do_sxt sz z =
  let v = do_mask sz z in
  let m = Z.shift_left Z.one (MachSize.nbits sz - 1) in
  Z.sub (Z.logxor v m) m

let sxt sz = function S_Int i -> S_Int (do_sxt sz i) | s -> s
let get_tag _t = assert false
let set_tag _b _t = assert false

let convert_to_int_signed = function
  | S_Int _ as s -> s
  | S_Bool false -> S_Int Z.zero
  | S_Bool true -> S_Int Z.one
  | S_BitVector bv -> S_Int (BV.to_z_signed bv)
  | S_Label s -> Warn.fatal "ASLScalar invalid op: label %S convert to int" s

  let convert_to_int_unsigned = function
  | S_Int _ as s -> s
  | S_Bool false -> S_Int Z.zero
  | S_Bool true -> S_Int Z.one
  | S_BitVector bv -> S_Int (BV.to_z_unsigned bv)
  | S_Label s -> Warn.fatal "ASLScalar invalid op: label %S convert to int" s

  let convert_to_bool = function
  | S_Int i -> S_Bool (not (Z.equal i Z.zero))
  | S_Bool b -> S_Bool b
  | S_BitVector _ as s ->
      Warn.fatal "ASLScalar invalid op: to_bool %s" (pp false s)
  | S_Label s -> Warn.fatal "ASLScalar invalid op: label %S convert to bool" s

(** Convert to bitvector of known size *)
let convert_to_bv sz = function
  | S_BitVector bv as v ->
      let len = BV.length bv in
      if sz < len then S_BitVector (BV.prefix bv sz)
      else if sz > len then
        let zs = BV.zeros (sz - len) in
        S_BitVector (BV.concat [ zs; bv ])
      else v
  | S_Int i -> S_BitVector (BV.of_z sz i)
  | S_Bool false -> S_BitVector (BV.zeros sz)
  | S_Bool true -> S_BitVector (BV.of_z sz Z.one)
  | S_Label s ->
      Warn.fatal "ASLScalar invalid op: label %S convert to bitvector" s

(** Transform to bitvector, size fixed to 64 if transformation occurs. *)
let as_bv = function S_BitVector _ as bv -> bv | v -> convert_to_bv 64 v

let try_extract_slice s positions =
  match s with
  | S_BitVector bv ->
      if List.exists (( <= ) (BV.length bv)) positions then None
      else Some (S_BitVector (BV.extract_slice bv positions))
  | S_Int i ->
      if Z.equal Z.zero i then
        Some (S_BitVector (BV.zeros (List.length positions)))
      else if Z.equal Z.minus_one i then
        Some (S_BitVector (BV.ones (List.length positions)))
      else if List.exists (( <= ) 64) positions then None
      else Some (S_BitVector (BV.extract_slice (BV.of_z 64 i) positions))
  | _ -> None

let try_concat s1 s2 =
  match (s1, s2) with
  | S_BitVector bv1, S_BitVector bv2 ->
      Some (S_BitVector (BV.concat [ bv1; bv2 ]))
  | _ -> None

let try_divrm s1 s2 =
  match (s1, s2) with
  | S_Int s1, S_Int s2 when Z.sign s2 = 1 -> Some (S_Int (Z.fdiv s1 s2))
  | _ -> None

let try_write_slice positions dst src =
  match (dst, src) with
  | S_BitVector dst, S_BitVector src ->
      if List.exists (( <= ) (BV.length dst)) positions then None
      else Some (S_BitVector (BV.write_slice dst src positions))
  | _ -> None

let empty = S_BitVector BV.empty
let zeros_size_one = S_BitVector (BV.zeros 1)

let printable_z z = norm_signed z

include NoPromote