types.mli 4.16 KB
Newer Older
1
2
type label = int
type atom  = int
3
type const = Integer of Big_int.big_int | Atom of atom | Char of Chars.Unichar.t
4

5
6
(** Algebra **)

7
8
type node
type descr
9

10
11
val make: unit -> node
val define: node -> descr -> unit
12

13
14
val cons: descr -> node
val internalize: node -> node
15

16
17
val id: node -> int
val descr: node -> descr
18

19
20
21
val equal_descr: descr -> descr -> bool
val hash_descr: descr -> int

22

23
24
module DescrHash: Hashtbl.S with type key = descr

25
26
(** Boolean connectives **)

27
28
29
30
31
32
val cup    : descr -> descr -> descr
val cap    : descr -> descr -> descr
val diff   : descr -> descr -> descr
val neg    : descr -> descr
val empty  : descr
val any    : descr
33

34
35
(** Constructors **)

36
val interval : Big_int.big_int -> Big_int.big_int -> descr
37
val atom     : atom Atoms.t -> descr
38
39
40
val times    : node -> node -> descr
val arrow    : node -> node -> descr
val record   : label -> bool -> node -> descr
41
val char     : Chars.t -> descr
42
val constant : const -> descr
43

44
45
46
47
48
49
50
(** Positive systems and least solutions **)

module Positive :
sig
  type v
  val forward: unit -> v
  val define: v -> v -> unit
51
  val ty: descr -> v
52
53
54
  val cup: v list -> v
  val times: v -> v -> v

55
  val solve: v -> node
56
57
end

58
59
60
61
62
63
64
65
(** Labels and atom names **)

val mk_atom  : string -> atom
val atom_name : atom -> string

val label : string -> label
val label_name : label -> string

66
67
68
(** Normalization **)

module Product : sig
69
  val any : descr
70
71
  val other : descr -> descr
  val is_product : descr -> bool
72
73
74

  (* List of non-empty rectangles *)
  type t = (descr * descr) list
75
  val is_empty: t -> bool
76
  val get: descr -> t
77
78
79
80
81
82
83
84
85
  val pi1: t -> descr
  val pi2: t -> descr
    
  (* Intersection with (pi1,Any) *)
  val restrict_1: t -> descr -> t

  (* List of non-empty rectangles whose first projection
     are pair-wise disjunct *)
  type normal = t
86
87
88
89
  val normal: descr -> normal

  val need_second: t -> bool
    (* Is there more than a single rectangle ? *)
90
91
92
end

module Record : sig
93
  val any : descr
94

95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
  (* List of maps label -> (optional, content) *)
  type t = (label, (bool * descr)) SortedMap.t list
  val get: descr -> t
  val is_empty: t -> bool
  val restrict_label_present: t -> label -> t
  val restrict_field: t -> label -> descr -> t
  val restrict_label_absent: t -> label -> t
  val project_field: t -> label -> descr

  type normal = 
      [ `Success
      | `Fail
      | `Label of label * (descr * normal) list * normal ]
  val normal: descr -> normal

  val project : descr -> label -> descr
111
    (* Raise Not_found if label is not necessarily present *)
112
113
end

114
115
module Arrow : sig
  val any : descr
116

117
118
119
120
121
122
123
124
  val check_strenghten: descr -> descr -> descr
    (* [check_strenghten t s]
       Assume that [t] is an intersection of arrow types
       representing the interface of an abstraction;
       check that this abstraction has type [s] (otherwise raise Not_found)
       and returns a refined type for this abstraction.
    *)

125
  type t
126
  val is_empty: t -> bool
127
128
  val get: descr -> t
    (* Always succeed; no check <= Arrow.any *)
129

130
131
132
  val domain: t -> descr
  val apply: t -> descr -> descr
    (* Always succeed; no check on the domain *)
133
134
135
136
137
138

  val need_arg : t -> bool
    (* True if the type of the argument is needed to obtain
       the type of the result (must use [apply]; otherwise,
       [apply_noarg] is enough *)
  val apply_noarg : t -> descr
139
140
141
end


142
143
144
145
146
147
148
149
module Int : sig
  val any : descr

  val is_int : descr -> bool
  val get: descr -> Intervals.t
  val put: Intervals.t -> descr
end

150
151
152
153
module Atom : sig
  val has_atom : descr -> atom -> bool
end

154
val normalize : descr -> descr
155

156
(** Subtyping and sample values **)
157

158
159
160
val is_empty : descr -> bool
val non_empty: descr -> bool
val subtype  : descr -> descr -> bool
161

162
163
164
module Sample :
sig
  type t =
165
    | Int of Big_int.big_int
166
    | Atom of atom
167
    | Char of Chars.Unichar.t
168
169
170
171
172
173
174
175
176
    | Pair of t * t
    | Record of (label * t) list
    | Fun of (node * node) list

  val get : descr -> t
	(** 
	  Extract a sample value from a non empty type;
	  raise Not_found for an empty type
	**)
177
178
end

179
180
module Print :
sig
181
  val register_global : string -> descr -> unit
182
183
  val print : Format.formatter -> node -> unit
  val print_descr: Format.formatter -> descr -> unit
184
  val print_sample : Format.formatter -> Sample.t -> unit
185
end
186

187
val check: descr -> unit