aboutsummaryrefslogtreecommitdiffhomepage
path: root/tactics/hints.mli
blob: 45cf562c05dffabd62766d37eb6b4066b2e94489 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
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
146
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
181
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
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

open Pp
open Util
open Names
open Term
open Context
open Environ
open Globnames
open Decl_kinds
open Evd
open Misctypes
open Clenv
open Pattern
open Vernacexpr

(** {6 General functions. } *)

exception Bound

val decompose_app_bound : constr -> global_reference * constr array

(** Pre-created hint databases *)

type 'a auto_tactic =
  | Res_pf     of 'a (* Hint Apply *)
  | ERes_pf    of 'a (* Hint EApply *)
  | Give_exact of 'a
  | Res_pf_THEN_trivial_fail of 'a (* Hint Immediate *)
  | Unfold_nth of evaluable_global_reference       (* Hint Unfold *)
  | Extern     of Tacexpr.glob_tactic_expr       (* Hint Extern *)

type hints_path_atom = 
  | PathHints of global_reference list
  | PathAny

type 'a gen_auto_tactic = {
  pri   : int;            (** A number between 0 and 4, 4 = lower priority *)
  poly  : polymorphic;    (** Is the hint polymorpic and hence should be refreshed at each application *)
  pat   : constr_pattern option; (** A pattern for the concl of the Goal *)
  name  : hints_path_atom; (** A potential name to refer to the hint *) 
  code  : 'a auto_tactic; (** the tactic to apply when the concl matches pat *)
}

type pri_auto_tactic = (constr * clausenv) gen_auto_tactic

type search_entry

(** The head may not be bound. *)

type hint_entry = global_reference option * 
  (constr * types * Univ.universe_context_set) gen_auto_tactic

type hints_path =
  | PathAtom of hints_path_atom
  | PathStar of hints_path
  | PathSeq of hints_path * hints_path
  | PathOr of hints_path * hints_path
  | PathEmpty
  | PathEpsilon

val normalize_path : hints_path -> hints_path
val path_matches : hints_path -> hints_path_atom list -> bool
val path_derivate : hints_path -> hints_path_atom -> hints_path
val pp_hints_path : hints_path -> Pp.std_ppcmds

module Hint_db :
  sig
    type t
    val empty : transparent_state -> bool -> t
    val find : global_reference -> t -> search_entry
    val map_none : t -> pri_auto_tactic list

    (** All hints associated to the reference *)
    val map_all : global_reference -> t -> pri_auto_tactic list

    (** All hints associated to the reference, respecting modes if evars appear in the 
	arguments, _not_ using the discrimination net. *)
    val map_existential : (global_reference * constr array) -> constr -> t -> pri_auto_tactic list

    (** All hints associated to the reference, respecting modes if evars appear in the 
	arguments and using the discrimination net. *)
    val map_eauto : (global_reference * constr array) -> constr -> t -> pri_auto_tactic list

    (** All hints associated to the reference, respecting modes if evars appear in the 
	arguments. *)
    val map_auto : (global_reference * constr array) -> constr -> t -> pri_auto_tactic list

    val add_one : hint_entry -> t -> t
    val add_list : (hint_entry) list -> t -> t
    val remove_one : global_reference -> t -> t
    val remove_list : global_reference list -> t -> t
    val iter : (global_reference option -> bool array list -> pri_auto_tactic list -> unit) -> t -> unit

    val use_dn : t -> bool
    val transparent_state : t -> transparent_state
    val set_transparent_state : t -> transparent_state -> t

    val add_cut : hints_path -> t -> t
    val cut : t -> hints_path

    val unfolds : t -> Id.Set.t * Cset.t
  end

type hint_db_name = string

type hint_db = Hint_db.t

type hnf = bool

type hint_term =
  | IsGlobRef of global_reference
  | IsConstr of constr * Univ.universe_context_set

type hints_entry =
  | HintsResolveEntry of (int option * polymorphic * hnf * hints_path_atom * 
			  hint_term) list
  | HintsImmediateEntry of (hints_path_atom * polymorphic * hint_term) list
  | HintsCutEntry of hints_path
  | HintsUnfoldEntry of evaluable_global_reference list
  | HintsTransparencyEntry of evaluable_global_reference list * bool
  | HintsModeEntry of global_reference * bool list      
  | HintsExternEntry of
      int * (patvar list * constr_pattern) option * Tacexpr.glob_tactic_expr

val searchtable_map : hint_db_name -> hint_db

val searchtable_add : (hint_db_name * hint_db) -> unit

(** [create_hint_db local name st use_dn].
   [st] is a transparency state for unification using this db
   [use_dn] switches the use of the discrimination net for all hints
   and patterns. *)

val create_hint_db : bool -> hint_db_name -> transparent_state -> bool -> unit

val remove_hints : bool -> hint_db_name list -> global_reference list -> unit

val current_db_names : unit -> String.Set.t

val current_pure_db : unit -> hint_db list

val interp_hints : polymorphic -> hints_expr -> hints_entry

val add_hints : locality_flag -> hint_db_name list -> hints_entry -> unit

val prepare_hint : bool (* Check no remaining evars *) -> env -> evar_map -> 
  open_constr -> hint_term

(** [make_exact_entry pri (c, ctyp)].
   [c] is the term given as an exact proof to solve the goal;
   [ctyp] is the type of [c]. *)

val make_exact_entry : env -> evar_map -> int option -> polymorphic -> ?name:hints_path_atom -> 
  (constr * types * Univ.universe_context_set) -> hint_entry

(** [make_apply_entry (eapply,hnf,verbose) pri (c,cty)].
   [eapply] is true if this hint will be used only with EApply;
   [hnf] should be true if we should expand the head of cty before searching for
   products;
   [c] is the term given as an exact proof to solve the goal;
   [cty] is the type of [c]. *)

val make_apply_entry :
  env -> evar_map -> bool * bool * bool -> int option -> polymorphic -> ?name:hints_path_atom -> 
  (constr * types * Univ.universe_context_set) -> hint_entry

(** A constr which is Hint'ed will be:
   - (1) used as an Exact, if it does not start with a product
   - (2) used as an Apply, if its HNF starts with a product, and
         has no missing arguments.
   - (3) used as an EApply, if its HNF starts with a product, and
         has missing arguments. *)

val make_resolves :
  env -> evar_map -> bool * bool * bool -> int option -> polymorphic -> ?name:hints_path_atom -> 
  hint_term -> hint_entry list

(** [make_resolve_hyp hname htyp].
   used to add an hypothesis to the local hint database;
   Never raises a user exception;
   If the hyp cannot be used as a Hint, the empty list is returned. *)

val make_resolve_hyp :
  env -> evar_map -> named_declaration -> hint_entry list

(** [make_extern pri pattern tactic_expr] *)

val make_extern :
  int -> constr_pattern option -> Tacexpr.glob_tactic_expr
      -> hint_entry

val extern_intern_tac :
  (patvar list -> Tacexpr.raw_tactic_expr -> Tacexpr.glob_tactic_expr) Hook.t

(** Create a Hint database from the pairs (name, constr).
   Useful to take the current goal hypotheses as hints;
   Boolean tells if lemmas with evars are allowed *)

val make_local_hint_db : env -> evar_map -> ?ts:transparent_state -> bool -> open_constr list -> hint_db

val make_db_list : hint_db_name list -> hint_db list

(** Initially created hint databases, for typeclasses and rewrite *)

val typeclasses_db : hint_db_name
val rewrite_db : hint_db_name

(** Printing  hints *)

val pr_searchtable : unit -> std_ppcmds
val pr_applicable_hint : unit -> std_ppcmds
val pr_hint_ref : global_reference -> std_ppcmds
val pr_hint_db_by_name : hint_db_name -> std_ppcmds
val pr_hint_db : Hint_db.t -> std_ppcmds
val pr_autotactic : (constr * 'a) auto_tactic -> Pp.std_ppcmds

(** Hook for changing the initialization of auto *)

val add_hints_init : (unit -> unit) -> unit