File: ocaml64.drv

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(** OCaml driver for 64-bit architecture *)

printer "ocaml"

module BuiltIn
  syntax type int "Z.t"
  syntax type string "string"
end

module HighOrd
  syntax type (->) "%1 -> %2"
  syntax val  ( @ )  "%1 %2" prec 4 4 3
end

module option.Option
  syntax type      option  "%1 option"
  syntax val  None    "None"
  syntax val  Some    "Some %1" prec 4 3
end

module Bool
  syntax type     bool  "bool"
  syntax val True  "true"
  syntax val False "false"
end

module bool.Ite
  syntax val ite "if %1 then %2 else %3" prec 16 15 15 15
end

module bool.Bool
  syntax val andb  "%1 && %2"      prec 12 11 12
  syntax val orb   "%1 || %2"      prec 13 12 13
  syntax val (=)   "%1 = %2"       prec 11 11 10
  syntax val xorb  "%1 <> %2"      prec 11 11 10
  syntax val notb  "not %1"        prec 4 3
  syntax val implb "not %1 || %2"  prec 13 3 13
end

module list.List
  syntax type     list "%1 list"
  syntax val Nil  "[]"
  syntax val Cons "%1 :: %2"        prec 9 8 9
end

module list.Length
  syntax val length "Z.of_int (List.length %1)" prec 4 3
end

module list.Append
  syntax val (++) "List.append"
end

module list.Reverse
  syntax val reverse "List.rev"
end

module list.RevAppend
  syntax val rev_append "List.rev_append"
end

module list.Combine
  syntax val combine "List.combine"
end

module Ref
  syntax type     ref      "%1 ref"
  syntax val contents "Stdlib.contents" prec 1 0
  syntax val      ref      "ref"
end

module ref.Ref
  syntax val      (!_)     "!%1"      prec 1 0
  syntax val      (:=)     "%1 := %2" prec 15 14 15
end

module ref.Refint
  syntax val incr "(fun r -> r := Z.succ !r) %1" prec 4 3
  syntax val decr "(fun r -> r := Z.pred !r) %1" prec 4 3
  syntax val (+=) "(fun r v -> r := Z.add !r v) %1 %2" prec 4 3 3
  syntax val (-=) "(fun r v -> r := Z.sub !r v) %1 %2" prec 4 3 3
  syntax val ( *= ) "(fun r v -> r := Z.mul !r v) %1 %2" prec 4 3 3
end

module int.Int
  syntax val zero "Z.zero"
  syntax val one  "Z.one"

  syntax val (<)   "Z.lt"
  syntax val (<=)  "Z.leq"
  syntax val (>)   "Z.gt"
  syntax val (>=)  "Z.geq"
  syntax val (=)   "Z.equal"

  syntax val  (+)   "Z.add"
  syntax val  (-)   "Z.sub"
  syntax val  ( * ) "Z.mul"
  syntax val  (-_)  "Z.neg"
end

module int.Abs
  syntax val abs "Z.abs"
end

module int.MinMax
  syntax val min "Z.min"
  syntax val max "Z.max"
end

module int.EuclideanDivision
  syntax val div "Z.ediv"
  syntax val mod "Z.erem"
end

module int.ComputerDivision
  syntax val div "Z.div"
  syntax val mod "Z.rem"
end

module stack.Stack
  syntax type      t        "%1 Stack.t"
  syntax val       create   "Stack.create"
  syntax val       push     "Stack.push"
  syntax exception Empty    "Stack.Empty"
  syntax val       pop      "Stack.pop"
  syntax val       top      "Stack.top"
  syntax val       safe_pop "Stack.pop"
  syntax val       safe_top "Stack.top"
  syntax val       clear    "Stack.clear"
  syntax val       copy     "Stack.copy"
  syntax val       is_empty "Stack.is_empty"
  syntax val       length   "Stack.length"
end

module queue.Queue
  syntax type      t         "%1 Queue.t"
  syntax val       create    "Queue.create"
  syntax val       push      "Queue.push"
  syntax exception Empty     "Queue.Empty"
  syntax val       pop       "Queue.pop"
  syntax val       peek      "Queue.peek"
  syntax val       safe_pop  "Queue.pop"
  syntax val       safe_peek "Queue.peek"
  syntax val       clear     "Queue.clear"
  syntax val       copy      "Queue.copy"
  syntax val       is_empty  "Queue.is_empty"
  syntax val       length    "Queue.length"
  syntax val       transfer  "Queue.transfer"
end

module set.SetAppInt
  prelude export "module SetAppInt = Set.Make(Z)\n"
  prelude export
  "let interval l r =\
   \n  let rec aux acc l r =\
   \n    if Z.leq r l then acc\
   \n    else aux (SetAppInt.add l acc) (Z.add l Z.one) r\
   \n  in aux SetAppInt.empty l r\n"

  syntax type set      "SetAppInt.t"
  syntax val  (==)     "SetAppInt.equal %1 %2" prec 4 3 3
  syntax val  subset   "SetAppInt.subset %1 %2" prec 4 3 3
  syntax val  empty    "%1; SetAppInt.empty" prec 17 16
  syntax val  is_empty "SetAppInt.is_empty %1" prec 4 3
  syntax val  add      "SetAppInt.add %1 %2" prec 4 3 3
  syntax val  mem      "SetAppInt.mem %1 %2" prec 4 3 3
  syntax val  remove   "SetAppInt.remove %1 %2" prec 4 3 3
  syntax val  union    "SetAppInt.union %1 %2" prec 4 3 3
  syntax val  inter    "SetAppInt.inter %1 %2" prec 4 3 3
  syntax val  diff     "SetAppInt.diff %1 %2" prec 4 3 3
  syntax val  choose   "SetAppInt.choose %1" prec 4 3
  syntax val  disjoint "SetAppInt.disjoint %1 %2" prec 4 3 3
  syntax val  cardinal "Z.of_int (SetAppInt.cardinal %1)" prec 4 3
  syntax val  min_elt  "SetAppInt.min_elt %1" prec 4 3
  syntax val  max_elt  "SetAppInt.max_elt %1" prec 4 3
  syntax val  interval "interval %1 %2" prec 4 3 3
end

module set.SetImpInt
  syntax type set      "(Z.t, unit) Hashtbl.t"
  syntax val  empty    "(fun () -> Hashtbl.create 8) %1" prec 4 3
  syntax val  is_empty "Hashtbl.length %1 = 0" prec 11 3
  syntax val  add      "Hashtbl.replace %2 %1 ()" prec 4 3 3
  syntax val  mem      "Hashtbl.mem %2 %1" prec 4 3 3
  syntax val  remove   "Hashtbl.remove %2 %1" prec 4 3 3
  syntax val  cardinal "Z.of_int (Hashtbl.length %1)" prec 4 3
  syntax val  clear    "Hashtbl.clear"
  (* TODO: disjoint, choose_and_remove, choose, singleton, subset, == *)
end

module fmap.MapAppInt
  prelude "module MapAppInt = Map.Make(Z)"
  syntax type t        "%1 MapAppInt.t"
  syntax val  create   "%1; MapAppInt.empty" prec 17 16
  syntax val  is_empty "MapAppInt.is_empty"
  syntax val  add      "MapAppInt.add"
  syntax val  find     "MapAppInt.find"
  syntax val  find_exn "MapAppInt.find"
  syntax val  mem      "MapAppInt.mem"
  syntax val  remove   "MapAppInt.remove"
  syntax val  size     "Z.of_int (MapAppInt.cardinal %1)" prec 4 3
end

module fmap.MapImpInt
  (* prelude "let create () = Hashtbl.create 8" *)
  syntax type t        "(Z.t, %1) Hashtbl.t"
  syntax val  create   "(fun () -> Hashtbl.create 8) %1" prec 4 3
  syntax val  is_empty "Hashtbl.length %1 = 0" prec 11 3
  syntax val  add      "Hashtbl.replace %3 %1 %2" prec 4 3 3 3
  syntax val  find     "Hashtbl.find %2 %1" prec 4 3 3
  syntax val  find_exn "Hashtbl.find %2 %1" prec 4 3 3
  syntax val  mem      "Hashtbl.mem %2 %1" prec 4 3 3
  syntax val  remove   "Hashtbl.remove %2 %1" prec 4 3 3
  syntax val  size     "Z.of_int (Hashtbl.length %1)" prec 4 3
  syntax val  clear    "Hashtbl.clear"
end

module array.Array
  syntax type array "%1 array"

  (* syntax exception OutOfBounds "Why3__Array.OutOfBounds" *) (* FIXME *)

  syntax val ([])          "%1.(Z.to_int %2)" prec 2 1 3
  syntax val ([]<-)        "%1.(Z.to_int %2) <- %3" prec 15 2 1 15
  syntax val length        "Z.of_int (Array.length %1)" prec 4 3
  syntax val defensive_get "%1.(Z.to_int %2)" prec 2 1 3
  syntax val defensive_set "%1.(Z.to_int %2) <- %3" prec 15 2 1 15
  syntax val empty         "(%1; [||])"
  syntax val make          "Array.make (Z.to_int %1) %2" prec 4 3 3
  syntax val append        "Array.append"
  syntax val sub           "Array.sub %1 (Z.to_int %2) (Z.to_int %3)" prec 4 3 3 3
  syntax val copy          "Array.copy"
  syntax val fill          "Array.fill %1 (Z.to_int %2) (Z.to_int %3) %4" prec 4 3 3 3
  syntax val blit          "Array.blit %1 (Z.to_int %2) %3 (Z.to_int %4) (Z.to_int %5)" prec 4
end

module array.Init
  syntax val init "Array.init (Z.to_int %1) (fun i -> %2 (Z.of_int i))" prec 4 3 14
end

module matrix.Matrix
  syntax type matrix "%1 array array"

  (* syntax exception OutOfBounds "Why3__Matrix.OutOfBounds" *) (* FIXME *)

  syntax val get           "%1.(Z.to_int %2).(Z.to_int %3)" prec 2 1 3 3
  syntax val set           "%1.(Z.to_int %2).(Z.to_int %3) <- %4" prec 15 1 3 3 14
  syntax val rows          "Z.of_int (Array.length %1)" prec 4 3
  syntax val columns       "Z.of_int (Array.length %1.(0))" prec 4 1
  syntax val defensive_get "%1.(Z.to_int %2).(Z.to_int %3)" prec 2 1 3 3
  syntax val defensive_set "%1.(Z.to_int %2).(Z.to_int %3) <- %4" prec 15 1 3 3 14
  syntax val make          "Array.make_matrix (Z.to_int %1) (Z.to_int %2) %3" prec 4 3 3 3
  syntax val copy          "Array.map Array.copy %1" prec 4 3
end

module mach.int.Int
  syntax val ( / ) "Z.div"
  syntax val ( % ) "Z.rem"
end

module mach.int.Int32
  syntax type     int32     "int"

  syntax literal   int32    "%1"

  syntax val of_int "Z.to_int"
  syntax val to_int "Z.of_int"

  syntax val min_int32 "Z.of_int 0x7fff_ffff"
  syntax val max_int32 "Z.of_int (-0x8000_0000)"
  syntax val      ( + )     "%1 + %2"   prec 8 8 7
  syntax val      ( - )     "%1 - %2"   prec 8 8 7
  syntax val      (-_)      "- %1"      prec 5 4
  syntax val      ( * )     "%1 * %2"   prec 7 7 6
  syntax val      ( / )     "%1 / %2"   prec 7 7 6
  syntax val      ( % )     "%1 mod %2" prec 7 7 6
  syntax val      (=)       "%1 = %2"   prec 11 11 10
  syntax val      (<=)      "%1 <= %2"  prec 11 11 10
  syntax val      (<)       "%1 < %2"   prec 11 11 10
  syntax val      (>=)      "%1 >= %2"  prec 11 11 10
  syntax val      (>)       "%1 > %2"   prec 11 11 10
end

module mach.int.Int63
  syntax type     int63     "int"

  syntax literal   int63    "%1"

  syntax val of_int "Z.to_int"
  syntax val to_int "Z.of_int"

  syntax val min_int63 "Z.of_int min_int" prec 4
  syntax val max_int63 "Z.of_int max_int" prec 4
  syntax val min_int   "min_int"
  syntax val max_int   "max_int"
  syntax val zero      "0"
  syntax val one       "1"
  syntax val      ( + )     "%1 + %2"   prec 8 8 7
  syntax val      ( - )     "%1 - %2"   prec 8 8 7
  syntax val      (-_)      "- %1"      prec 5 4
  syntax val      ( * )     "%1 * %2"   prec 7 7 6
  syntax val      ( / )     "%1 / %2"   prec 7 7 6
  syntax val      ( % )     "%1 mod %2" prec 7 7 6
  syntax val      (=)       "%1 = %2"   prec 11 11 10
  syntax val      (<=)      "%1 <= %2"  prec 11 11 10
  syntax val      (<)       "%1 < %2"   prec 11 11 10
  syntax val      (>=)      "%1 >= %2"  prec 11 11 10
  syntax val      (>)       "%1 > %2"   prec 11 11 10

(*  syntax val      to_bv     "(fun x -> x)"
  syntax val      of_bv     "(fun x -> x)"*)
end

module ieee_float.Float64
  syntax type t "float"

  syntax val (.+)     "%1 +. %2"   prec 8 8 7
  syntax val (.-)     "%1 -. %2"   prec 8 8 7
  syntax val (.-_)    "-. %1"      prec 5 4
  syntax val (.*)     "%1 *. %2"   prec 7 7 6
  syntax val (./)     "%1 /. %2"   prec 7 7 6
  syntax val (.=)     "%1 = %2"    prec 11 11 10
  syntax val (.<=)    "%1 <= %2"   prec 11 11 10
  syntax val (.<)     "%1 < %2"    prec 11 11 10
  syntax val (.>=)    "%1 >= %2"   prec 11 11 10
  syntax val (.>)     "%1 > %2"    prec 11 11 10
  syntax val eq       "%1 = %2"    prec 11 11 10
  syntax val le       "%1 <= %2"   prec 11 11 10
  syntax val lt       "%1 < %2"    prec 11 11 10
  syntax val ge       "%1 >= %2"   prec 11 11 10
  syntax val gt       "%1 > %2"    prec 11 11 10
end

module mach.int.Random63
  syntax val s             "REMOVE"
  syntax val init          "Random.init"
  syntax val self_init     "Random.self_init"
  syntax val random_bool   "Random.bool"
  syntax val random_int63  "Random.int"
end

module mach.int.State63
  remove module
end

module mach.peano.Peano
  syntax type t      "int"
  syntax val  to_int "Z.of_int"
  syntax val  zero   "0"
  syntax val  one    "1"
  syntax val  succ   "%1 + 1"   prec 8 8 7
  syntax val  pred   "%1 - 1"   prec 8 8 7
  syntax val  lt     "%1 < %2"  prec 11 11 10
  syntax val  le     "%1 <= %2" prec 11 11 10
  syntax val  gt     "%1 > %2"  prec 11 11 10
  syntax val  ge     "%1 >= %2" prec 11 11 10
  syntax val  eq     "%1 = %2"  prec 11 11 10
  syntax val  ne     "%1 <> %2" prec 11 11 10
  syntax val  neg    "- %1"     prec 5 4
  syntax val  abs    "abs"
  syntax val  add    "%1 + %2 (*%3 %4*)"  prec 8 8 7
  syntax val  sub    "%1 - %2 (*%3 %4*)"  prec 8 8 7
  syntax val  mul    "%1 * %2 (*%3 %4*)"  prec 7 7 6
  syntax val  of_int "Z.to_int %1 (*%2 %3*)"
end

module mach.peano.ComputerDivision
  syntax val  div    "%1 / %2"  prec 7 7 6
  syntax val  mod    "%1 mod %2" prec 7 7 6
end

module mach.peano.MinMax
  syntax val  max    "max"
  syntax val  min    "min"
end

module mach.peano.Int63
  syntax val  defensive_to_int63    "%1"
  syntax val  to_int63    "%1"
  syntax val  of_int63    "%1"
end

module mach.onetime.OneTime
  syntax type t      "int"
  syntax val  to_int "Z.of_int"
  syntax val  zero   "0 (*%1*)"
  syntax val  one    "1 (*%1*)"
    (* note: it is safe to ignore the argument of `zero` and `one`, of
       type unit, thanks to the A-normal form of WhyML code. *)
  syntax val  succ   "%1 + 1"   prec 8 8 7
  syntax val  pred   "%1 - 1"   prec 8 8 7
  syntax val  lt     "%1 < %2"  prec 11 11 10
  syntax val  le     "%1 <= %2" prec 11 11 10
  syntax val  gt     "%1 > %2"  prec 11 11 10
  syntax val  ge     "%1 >= %2" prec 11 11 10
  syntax val  eq     "%1 = %2"  prec 11 11 10
  syntax val  ne     "%1 <> %2" prec 11 11 10

  syntax val to_peano "%1"
  syntax val transfer "%1"
  syntax val neg      "-%1"     prec 5 4
  syntax val abs      "abs %1"
  syntax val add      "%1 + %2" prec 8 8 7
  syntax val sub      "%1 - %2" prec 8 8 7
  syntax val split    "(%1-%2, %2)" prec 0 13 13
end

module mach.list.OCaml

  syntax val length_defensive "List.length %1"
  syntax val length "List.length %1"

end


module string.Char
  syntax type char "char"
end

module string.OCaml
  syntax val (=)    "%1 = %2" prec 11 11 10
  syntax val eq_char "%1 = %2" prec 11 11 10
  syntax val length "String.length %1" prec 4 3
  syntax val get    "String.get %1 %2" prec 4 3 3
  syntax val ([])   "String.get %1 %2" prec 4 3 3
  syntax val sub    "String.sub %1 %2 %3" prec 4 3 3 3
  syntax val concat "%1 ^ %2" prec 4 3 4
  syntax val code   "Char.code %1" prec 4 3 3
  syntax val chr    "Char.chr %1" prec 4 3 3
  syntax val make   "String.make %1 %2" prec 4 3 3
end

module string.StringBuffer
  syntax type buffer    "Buffer.t"
  syntax val create     "Buffer.create %1" prec 4 3
  syntax val length     "Buffer.length %1" prec 4 3
  syntax val contents   "Buffer.contents %1" prec 4 3
  syntax val clear      "Buffer.clear %1" prec 4 3
  syntax val reset      "Buffer.reset %1" prec 4 3
  syntax val sub        "Buffer.sub %1 %2 %3" prec 4 3 3 3
  syntax val add_char   "Buffer.add_char %1 %2" prec 4 3 3
  syntax val add_string "Buffer.add_string %1 %2" prec 4 3 3
  syntax val truncate   "Buffer.truncate %1 %2" prec 4 3 3
end

module io.StdIO
  syntax val print_string "Stdlib.print_string"
  syntax val print_char "Stdlib.print_char"
  syntax val print_int "Stdlib.print_string (Z.to_string %1)" prec 4 3
  syntax val print_newline "Stdlib.print_newline"
end

module random.Random
  syntax val random_int    "Z.of_int (Random.int (Z.to_int %1))" prec 4 3
end

module mach.int.Refint63
  syntax val incr "incr"
  syntax val decr "decr"
  syntax val (+=) "(fun r v -> r := !r + v) %1 %2" prec 4 3 3
  syntax val (-=) "(fun r v -> r := !r - v) %1 %2" prec 4 3 3
  syntax val ( *= ) "(fun r v -> r := !r * v) %1 %2" prec 4 3 3
end
module mach.int.MinMax63
  syntax val min "Stdlib.min"
  syntax val max "Stdlib.max"
end

module mach.array.Array32
  syntax type      array         "(%1 array)"

  syntax exception OutOfBounds   "Invalid_argument \"index out of bounds\""
  syntax val       make          "Array.make"
  syntax val       ([])          "%1.(%2)" prec 2 1 18
  syntax val       ([]<-)        "%1.(%2) <- %3" prec 15 1 18 15
  syntax val       defensive_get "%1.(%2)" prec 2 1 18
  syntax val       defensive_set "%1.(%2) <- %3" prec 15 1 18 15
  syntax val       length        "Array.length"
  syntax val       append        "Array.append"
  syntax val       sub           "Array.sub"
  syntax val       copy          "Array.copy"
  syntax val       fill          "Array.fill"
  syntax val       blit          "Array.blit"
  syntax val       self_blit     "Array.blit %1 %2 %1 %3 %4" prec 4 3 3 3 3 3
end

module mach.array.Array63
  syntax type      array         "(%1 array)"

  syntax exception OutOfBounds   "Invalid_argument \"index out of bounds\""
  syntax val       make          "Array.make"
  syntax val       ([])          "%1.(%2)" prec 2 1 18
  syntax val       ([]<-)        "%1.(%2) <- %3" prec 15 1 18 15
  syntax val       defensive_get "%1.(%2)" prec 2 1 18
  syntax val       defensive_set "%1.(%2) <- %3" prec 15 1 18 15
  syntax val       length        "Array.length %1" prec 4 3
  syntax val       append        "Array.append"
  syntax val       sub           "Array.sub"
  syntax val       copy          "Array.copy"
  syntax val       fill          "Array.fill"
  syntax val       blit          "Array.blit"
  syntax val       self_blit     "Array.blit %1 %2 %1 %3 %4" prec 4 3 3 3 3 3
  syntax val       init          "Array.init"
end

module mach.array.ArrayInt63
  syntax type array63 "(int array)"
  syntax val  make   "Array.make"
  syntax val  init   "Array.init"
  syntax val  ([])   "%1.(%2)" prec 2 1 18
  syntax val  ([]<-) "%1.(%2) <- %3" prec 15 1 18 15
  syntax val  length "Array.length %1" prec 4 3
  syntax val  copy   "Array.copy"
  syntax val  sub    "Array.sub"
end

module mach.matrix.Matrix63
  syntax type matrix "(%1 array array)"

  (* syntax exception OutOfBounds "(Invalid_argument \"index out of bounds\")" *)

  syntax val rows     "Array.length"
  syntax val columns  "Array.length %1.(0)" prec 4 1
  syntax val rows          "Array.length"
  syntax val columns       "Array.length %1.(0)" prec 4 1
  syntax val get           "%1.(%2).(%3)" prec 2 1 18 18
  syntax val set           "%1.(%2).(%3) <- %4" prec 15 1 18 18 15
  syntax val defensive_get "%1.(%2).(%3)" prec 2 1 18 18
  syntax val defensive_set "%1.(%2).(%3) <- %4" prec 15 1 18 18 15
  syntax val make          "Array.make_matrix"
  syntax val copy          "Array.map Array.copy %1" prec 4 3
end

module ocaml.Sys
  syntax val max_array_length "Sys.max_array_length"
end

module ocaml.Exceptions
  syntax exception Exit             "Stdlib.Exit"
  syntax exception Not_found        "Not_found"
  syntax exception Invalid_argument "Invalid_argument"
end

module ocaml.Pervasives
  syntax exception AssertFailure    "REMOVE"
  syntax val       ocaml_assert     "assert"
  syntax val       succ             "succ"
  syntax val       pred             "pred"
end