smt2_model_defs.ml 7.17 KB
Newer Older
1 2 3 4 5 6 7 8 9 10 11
(********************************************************************)
(*                                                                  *)
(*  The Why3 Verification Platform   /   The Why3 Development Team  *)
(*  Copyright 2010-2017   --   INRIA - CNRS - Paris-Sud University  *)
(*                                                                  *)
(*  This software is distributed under the terms of the GNU Lesser  *)
(*  General Public License version 2.1, with the special exception  *)
(*  on linking described in file LICENSE.                           *)
(*                                                                  *)
(********************************************************************)

12 13 14 15
open Stdlib

type variable = string

16 17 18 19 20 21 22 23
type float_type =
  | Plus_infinity
  | Minus_infinity
  | Plus_zero
  | Minus_zero
  | Not_a_number
  | Float_value of string * string * string

24 25 26 27 28 29 30
type array =
  | Const of term
  | Store of array * term * term

and term =
  | Integer of string
  | Decimal of (string * string)
31
  | Float of float_type
32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
  | Other of string
  | Array of array
  | Bitvector of string
  | Boolean of bool
  | Cvc4_Variable of variable
  | Function_Local_Variable of variable
  | Variable of variable
  | Ite of term * term * term * term
  | Record of int * (term list)
  | Discr of int * (term list)
  | To_array of term

type definition =
  | Function of variable list * term
  | Term of term
  | Noelement

(* Type returned by parsing of model.
Sylvain Dailler's avatar
Sylvain Dailler committed
50
   An hashtable that makes a correspondence between names (string) and
51
   associated definition (complex stuff) *)
Sylvain Dailler's avatar
Sylvain Dailler committed
52
type correspondence_table = (bool * definition) Mstr.t
53

54 55 56 57 58 59 60 61 62
let print_float fmt f =
  match f with
  | Plus_infinity -> Format.fprintf fmt "Plus_infinity"
  | Minus_infinity -> Format.fprintf fmt "Minus_infinity"
  | Plus_zero -> Format.fprintf fmt "Plus_zero"
  | Minus_zero -> Format.fprintf fmt "Minus_zero"
  | Not_a_number -> Format.fprintf fmt "NaN"
  | Float_value (b, eb, sb) -> Format.fprintf fmt "(%s, %s, %s)" b eb sb

63 64 65 66 67 68 69 70 71 72 73 74
let rec print_array fmt a =
  match a with
  | Const t -> Format.fprintf fmt "CONST : %a" print_term t
  | Store (a, t1, t2) ->
      Format.fprintf fmt "STORE : %a %a %a"
        print_array a print_term t1 print_term t2

(* Printing function for terms *)
and print_term fmt t =
  match t with
  | Integer s -> Format.fprintf fmt "Integer: %s" s
  | Decimal (s1, s2) -> Format.fprintf fmt "Decimal: %s . %s" s1 s2
75
  | Float f -> Format.fprintf fmt "Float: %a" print_float f
76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95
  | Other s -> Format.fprintf fmt "Other: %s" s
  | Array a -> Format.fprintf fmt "Array: %a" print_array a
  | Bitvector bv -> Format.fprintf fmt "Bv: %s" bv
  | Boolean _b -> Format.fprintf fmt "Boolean"
  | Cvc4_Variable cvc -> Format.fprintf fmt "CVC4VAR: %s" cvc
  | Function_Local_Variable v -> Format.fprintf fmt "LOCAL: %s" v
  | Variable v -> Format.fprintf fmt "VAR: %s" v
  | Ite _ -> Format.fprintf fmt "ITE"
  | Record (n, l) -> Format.fprintf fmt "record_type: %d; list_fields: %a" n
        (fun fmt -> Pp.print_list (fun fmt () -> Format.fprintf fmt " ") print_term fmt) l
  | Discr (n, l) -> Format.fprintf fmt "record_type: %d; list_fields: %a" n
        (fun fmt -> Pp.print_list (fun fmt () -> Format.fprintf fmt " ") print_term fmt) l
  | To_array t -> Format.fprintf fmt "TO_array: %a@." print_term t

let print_def fmt d =
  match d with
  | Function (_vars, t) -> Format.fprintf fmt "FUNCTION : %a" print_term t
  | Term t -> Format.fprintf fmt "TERM : %a" print_term t
  | Noelement -> Format.fprintf fmt "NOELEMENT"

Sylvain Dailler's avatar
Sylvain Dailler committed
96
let add_element x (t: correspondence_table) b =
97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145
  match x with
  | None -> t
  | Some (key, value) ->
      Mstr.add key (b, value) t

exception Bad_local_variable

let rec make_local_array vars_lists a =
  match a with
  | Const t ->
    let t' = make_local vars_lists t in
    Const t'
  | Store (a, t1, t2) ->
    let a' = make_local_array vars_lists a in
    let t1' = make_local vars_lists t1 in
    let t2' = make_local vars_lists t2 in
    Store (a', t1', t2')

(* For a definition of function f, local variables being in vars_lists and the
   returned term being t, this function changes the term give an appropriate tag
   to variables that are actually local. *)
and make_local vars_lists t =
  match t with
  | Variable s ->
      begin
        if (List.exists (fun x -> s = x) vars_lists) then
          Function_Local_Variable s
        else
          try
          (* Check that s is a Cvc4 or z3 variable. Note that s is a variable
             name so it is of size > 0 *)
            (if (String.get s 0 = '@' || String.contains s '!') then
              Cvc4_Variable s
            else
              Variable s
            ) (* should not happen *)
          with
            _ -> raise Bad_local_variable (* Should not happen. s = "" *)
      end
  | Array a ->
    begin
      Array (make_local_array vars_lists a)
    end
  | Ite (t1, t2, t3, t4) ->
    let t1 = make_local vars_lists t1 in
    let t2 = make_local vars_lists t2 in
    let t3 = make_local vars_lists t3 in
    let t4 = make_local vars_lists t4 in
    Ite (t1, t2, t3, t4)
146
  | Integer _ | Decimal _ | Float _ | Other _ -> t
147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180
  | Bitvector _ -> t
  | Cvc4_Variable _ -> raise Bad_local_variable
  | Boolean _ -> t
  | Function_Local_Variable _ -> raise Bad_local_variable
  | Record (n, l) -> Record (n, List.map (fun x -> make_local vars_lists x) l)
  | Discr (n, l) -> Discr (n, List.map (fun x -> make_local vars_lists x) l)
  | To_array t -> To_array (make_local vars_lists t)


let build_record_discr lgen =

  let rec build_records_with_discrs acc (l: term list) =
    match l,acc with
    | Record (n, t) :: tl, None ->
        build_records_with_discrs (Some (Record (n, t))) tl
    | Record (_n, _t) :: _tl, Some (Record (_n', _t')) ->
        assert (false)
    | Record (n, t) :: _tl, Some (Discr (n', t')) ->
        Record (n, (Discr (n', t')) :: t)
    | Discr (n, t) :: tl, None ->
        build_records_with_discrs (Some (Discr (n, t))) tl
    | Discr (n, t) :: _tl, Some (Record (n', t')) ->
        Record (n', (Discr (n, t) :: t'))
    | Discr (_n, _t) :: _tl, Some (Discr (_n', _t')) ->
        assert (false)
    | _a :: tl, _ -> build_records_with_discrs acc tl
    | [], Some b -> b
    | [], None -> List.hd lgen
  in

  build_records_with_discrs None lgen

let rec subst var value t =
  match t with
181
  | Integer _ | Decimal _ | Float _ | Other _ | Bitvector _ | Boolean _ ->
182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210
      t
  | Array a -> Array (subst_array var value a)
  | Cvc4_Variable _ -> raise Bad_local_variable
  | Function_Local_Variable _ -> t
  | Variable v -> if v = var then value else Variable v
  | Ite (t1, t2, t3, t4) ->
    let t1 = subst var value t1 in
    let t2 = subst var value t2 in
    let t3 = subst var value t3 in
    let t4 = subst var value t4 in
    Ite (t1, t2, t3, t4)
 | Record (n, l) ->
     Record (n, List.map (fun t -> subst var value t) l)
 | Discr (n, l) ->
     Discr (n, List.map (fun t -> subst var value t) l)
 | To_array t -> To_array (subst var value t)


and subst_array var value a =
  match a with
  | Const t -> Const (subst var value t)
  | Store (a, t1, t2) ->
      let t1 = subst var value t1 in
      let t2 = subst var value t2 in
      let a = subst_array var value a in
      Store (a, t1, t2)

let substitute l t =
  List.fold_left (fun t (var, value) -> subst var value t) t l