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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
|