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(*========================================================================*)
(*                                                                        *)
(*  Copyright (c) 2015-2017 Robert M. Norton                              *)
(*  Copyright (c) 2015-2017 Kathyrn Gray                                  *)
(*  All rights reserved.                                                  *)
(*                                                                        *)
(*  This software was developed by the University of Cambridge Computer   *)
(*  Laboratory as part of the Rigorous Engineering of Mainstream Systems  *)
(*  (REMS) project, funded by EPSRC grant EP/K008528/1.                   *)
(*                                                                        *)
(*  Redistribution and use in source and binary forms, with or without    *)
(*  modification, are permitted provided that the following conditions    *)
(*  are met:                                                              *)
(*  1. Redistributions of source code must retain the above copyright     *)
(*     notice, this list of conditions and the following disclaimer.      *)
(*  2. Redistributions in binary form must reproduce the above copyright  *)
(*     notice, this list of conditions and the following disclaimer in    *)
(*     the documentation and/or other materials provided with the         *)
(*     distribution.                                                      *)
(*                                                                        *)
(*  THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS''    *)
(*  AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED     *)
(*  TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A       *)
(*  PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR   *)
(*  CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,          *)
(*  SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT      *)
(*  LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF      *)
(*  USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND   *)
(*  ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,    *)
(*  OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT    *)
(*  OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF    *)
(*  SUCH DAMAGE.                                                          *)
(*========================================================================*)

(* 128 bit cap + tag *)
typedef CapReg = bit[129]

typedef CapStruct = const struct {
  bool    tag;
  bit[4]  uperms;
  bool    access_system_regs;
  bool    perm_reserved9;
  bool    perm_reserved8;
  bool    permit_seal;
  bool    permit_store_local_cap;
  bool    permit_store_cap;
  bool    permit_load_cap;
  bool    permit_store;
  bool    permit_load;
  bool    permit_execute;
  bool    global;
  bit[2]  reserved;
  bit[6]  E;
  bool    sealed;
  bit[20] B;
  bit[20] T;
  bit[24] otype;
  bit[64] address;
}

let (CapStruct) null_cap = {
  tag                    = false;
  uperms                 = 0;
  access_system_regs     = false;
  perm_reserved9         = false;
  perm_reserved8         = false;
  permit_seal            = false;
  permit_store_local_cap = false;
  permit_store_cap       = false;
  permit_load_cap        = false;
  permit_store           = false;
  permit_load            = false;
  permit_execute         = false;
  global                 = false;
  reserved               = 0;
  E                      = 48; (* encoded as 0 in memory due to xor *)
  sealed                 = false;
  B                      = 0;
  T                      = 0;
  otype                  = 0;
  address                = 0;
}

let (nat) max_otype = 0xffffff
def Nat cap_size_t  = 16 (* cap size in bytes *)
let ([:cap_size_t:]) cap_size = 16

function CapStruct capRegToCapStruct((CapReg) c) =
  let (bool)    s = c[104] in
  let (bit[20]) B = if s then c[103..96] : 0x000 else c[103..84] in
  let (bit[20]) T = if s then c[83..76] : 0x000 else c[83..64] in
  let (bit[24]) otype = if s then c[95..84] : c[75..64] else 0 in
  {
    tag                    = c[128];
    uperms                 = c[127..124];
    access_system_regs     = c[123];
    perm_reserved9         = c[122];
    perm_reserved8         = c[121];
    permit_seal            = c[120];
    permit_store_local_cap = c[119];
    permit_store_cap       = c[118];
    permit_load_cap        = c[117];
    permit_store           = c[116];
    permit_load            = c[115];
    permit_execute         = c[114];
    global                 = c[113];
    reserved               = c[112..111];
    E                      = c[110..105] ^ 0b110000;
    sealed                 = s;
    B                      = B;
    T                      = T;
    otype                  = otype;
    address                = c[63..0];
  }

function (bit[11]) getCapHardPerms((CapStruct) cap) =
   ([cap.access_system_regs]
  : [cap.perm_reserved9]
  : [cap.perm_reserved8]
  : [cap.permit_seal]
  : [cap.permit_store_local_cap]
  : [cap.permit_store_cap]
  : [cap.permit_load_cap]
  : [cap.permit_store]
  : [cap.permit_load]
  : [cap.permit_execute]
  : [cap.global])

function (bit[128]) capStructToMemBits((CapStruct) cap) =
    let (bit[20]) b = if cap.sealed then (cap.B)[23..12] : (cap.otype)[23..12] else cap.B in
    let (bit[20]) t = if cap.sealed then (cap.T)[23..12] : (cap.otype)[11..0]  else cap.T in
    ( cap.uperms
    : getCapHardPerms(cap)
    : cap.reserved
    : (cap.E ^ 0b110000) (* XXX brackets required otherwise sail interpreter error *)
    : [cap.sealed]
    : b
    : t
    : cap.address
    )

function (CapReg) capStructToCapReg((CapStruct) cap) =
    ([cap.tag] : capStructToMemBits(cap))

(* Reverse of above used when reading from memory *)
function (CapReg) memBitsToCapBits((bool) tag, (bit[128]) b) =
  ([tag] : b)

function (bit[31]) getCapPerms((CapStruct) cap) = 
    let (bit[15]) perms = EXTS(getCapHardPerms(cap)) in (* NB access_system copied into 14-11 *)
    (0x000 (* uperms 30-19 *)
  : cap.uperms
  : perms)

function CapStruct setCapPerms((CapStruct) cap, (bit[31]) perms) =
    { cap with
      uperms                 = perms[18..15];
      (* 14..11 reserved -- ignore *)
      access_system_regs     = perms[10];
      perm_reserved9         = perms[9];
      perm_reserved8         = perms[8];
      permit_seal            = perms[7];
      permit_store_local_cap = perms[6];
      permit_store_cap       = perms[5];
      permit_load_cap        = perms[4];
      permit_store           = perms[3];
      permit_load            = perms[2];
      permit_execute         = perms[1];
      global                 = perms[0];
      }

function (bool, CapStruct) sealCap((CapStruct) cap, (bit[24]) otype) =
    if (((cap.T)[11..0] == 0) & ((cap.B)[11..0] == 0)) then
        (true, {cap with sealed=true; otype=otype})
    else
        (false, undefined)

function [|-1:1|] a_top_correction((bit[20]) a_mid, (bit[20]) R, (bit[20]) bound) =
    switch (a_mid <_u R, bound <_u R) {
      case (bitzero, bitzero) -> 0
      case (bitzero, bitone)  -> 1
      case (bitone, bitzero)  -> -1
      case (bitone, bitone)   -> 0
    }

function uint64 getCapBase((CapStruct) c)  = 
    let ([|45|])  E = min(unsigned(c.E), 45) in
    let (bit[20]) B = c.B in
    let (bit[64]) a = c.address in
    let (bit[20]) R = B - 0x01000 in (* wraps *)
    let (bit[20]) a_mid = a[(E + 19)..E] in
    let correction = a_top_correction(a_mid, R, B) in
    let a_top = a[63..(E+20)] in
    let (bit[64]) base = EXTZ((a_top + correction) : B) << E in
    unsigned(base)

function CapLen getCapTop ((CapStruct) c)  = 
    let ([|45|])  E = min(unsigned(c.E), 45) in
    let (bit[20]) B = c.B in
    let (bit[20]) T = c.T in
    let (bit[64]) a = c.address  in
    let (bit[20]) R = B - 0x01000 in (* wraps *)
    let (bit[20]) a_mid = a[(E + 19)..E] in
    let correction = a_top_correction(a_mid, R, T) in
    let a_top = a[63..(E+20)] in
    let (bit[65]) top1 = EXTZ((a_top + correction) : T) in
    (CapLen) (top1 << E)

function uint64 getCapOffset((CapStruct) c) = 
    let base = getCapBase(c) in
    unsigned(c.address) - base

function CapLen getCapLength((CapStruct) c)  = getCapTop(c) - getCapBase(c)

function uint64 getCapCursor((CapStruct) cap) = unsigned(cap.address)

function (bool, CapStruct) setCapOffset((CapStruct) c, (bit[64]) offset) =
    let oldBase    = getCapBase(c) in
    let oldTop     = getCapTop(c) in
    let (bit[64]) newAddress =  oldBase + offset in
    let newCap     = { c with address = newAddress } in
    let newBase    = getCapBase(newCap) in
    let newTop     = getCapTop(newCap) in
    let representable = (oldBase == newBase) & (oldTop == newTop) in
    (representable, newCap)

function bool fastRepCheck((CapStruct) c, (bit[64]) i) =
    let E        = min(unsigned(c.E), 45) in
    let i_top    = signed(i[63..E+20]) in
    let (bit[20]) i_mid = i[E+19..E] in
    let (bit[20]) a_mid = (c.address)[E+19..E] in
    let (bit[20]) R     = (c.B) - 0x01000 in
    let (bit[20]) diff  = R - a_mid in
    let (bit[20]) diff1 = diff - 1 in
    switch(i_top) {
      case 0  -> i_mid <_u diff1
      case -1 -> unsigned(i_mid) >= unsigned(diff) & (R != a_mid)
      case _  -> false
    } | (E >= 44)

function (bool, CapStruct) incCapOffset((CapStruct) c, (bit[64]) delta) =
    let (bit[64]) newAddress = c.address + delta in
    let newCap     = { c with address = newAddress } in
    let representable = fastRepCheck(c, delta) in
    (representable, newCap)

(** FUNCTION:integer HighestSetBit(bits(N) x) *)

function forall Nat 'N. option<[|0:('N + -1)|]> HighestSetBit((bit['N]) x) = {
  let N = (length(x)) in {
  ([|('N + -1)|]) result := 0;
  (bool) break := false;
  foreach (i from (N - 1) downto 0)
    if ~(break) & x[i] == 1 then {
      result := i;
      break := true;
    };

  if break then Some(result) else None;
}}

(* hw rounds up E to multiple of 4 *)
function [|48|] roundUp(([|45|]) e) =
    let r = e mod 4 in
    if (r == 0)
    then e
    else (e - r + 4)


function [|48|] computeE ((bit[65]) rlength) =
    let msb = HighestSetBit((rlength + (rlength >> 6)) >> 19) in
    switch (msb) {
      (* above will always return <= 45 because 19 bits of zero are shifted in from right *)
      case (Some(b)) -> {assert(b <= 45, None); roundUp (min(b,45)) }
      case None    -> 0
      }

function (bool, CapStruct) setCapBounds((CapStruct) cap, (bit[64]) base, (bit[65]) top) =
    (* {cap with base=base; length=(bit[64]) length; offset=0} *)
    let ([|48|])  e = computeE(top - (0b0 : base)) in
    let (bit[20]) B = base[(19+e)..e] in
    let (bit[20]) T = top[(19+e)..e] in
    let (bit[20]) T2 = T + if (top[(e - 1)..0] == 0) then 0 else 1 in
    let newCap  = {cap with E=(bit[6]) e; B=B; T=T2} in
    let newBase = getCapBase(newCap) in
    let newTop  = getCapTop(newCap) in
    let exact   = (base == newBase) & (top == newTop) in
    (exact, newCap)

function CapStruct int_to_cap ((bit[64]) offset) = 
    {null_cap with address = offset}