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|
(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
(* <O___,, * (see CREDITS file for the list of authors) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
open Util
open Names
open EConstr
open Environ
open Decl_kinds
open Evd
open Tactypes
open Clenv
open Pattern
open Typeclasses
(** {6 General functions. } *)
exception Bound
val decompose_app_bound : evar_map -> constr -> GlobRef.t * constr array
type debug = Debug | Info | Off
val secvars_of_hyps : ('c, 't) Context.Named.pt -> Id.Pred.t
val empty_hint_info : 'a Typeclasses.hint_info_gen
(** Pre-created hint databases *)
type hint_info_expr = Constrexpr.constr_pattern_expr hint_info_gen
type 'a hint_ast =
| 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 Genarg.glob_generic_argument (* Hint Extern *)
type hint
type raw_hint = constr * types * Univ.ContextSet.t
type 'a hints_path_atom_gen =
| PathHints of 'a list
(* For forward hints, their names is the list of projections *)
| PathAny
type hints_path_atom = GlobRef.t hints_path_atom_gen
type hint_db_name = string
type 'a with_metadata = private {
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 *)
db : hint_db_name option;
secvars : Id.Pred.t; (** The section variables this hint depends on, as a predicate *)
code : 'a; (** the tactic to apply when the concl matches pat *)
}
type full_hint = hint with_metadata
type search_entry
(** The head may not be bound. *)
type hint_entry
type reference_or_constr =
| HintsReference of Libnames.reference
| HintsConstr of Constrexpr.constr_expr
type hint_mode =
| ModeInput (* No evars *)
| ModeNoHeadEvar (* No evar at the head *)
| ModeOutput (* Anything *)
type hints_expr =
| HintsResolve of (hint_info_expr * bool * reference_or_constr) list
| HintsResolveIFF of bool * Libnames.reference list * int option
| HintsImmediate of reference_or_constr list
| HintsUnfold of Libnames.reference list
| HintsTransparency of Libnames.reference list * bool
| HintsMode of Libnames.reference * hint_mode list
| HintsConstructors of Libnames.reference list
| HintsExtern of int * Constrexpr.constr_expr option * Genarg.raw_generic_argument
type 'a hints_path_gen =
| PathAtom of 'a hints_path_atom_gen
| PathStar of 'a hints_path_gen
| PathSeq of 'a hints_path_gen * 'a hints_path_gen
| PathOr of 'a hints_path_gen * 'a hints_path_gen
| PathEmpty
| PathEpsilon
type pre_hints_path = Libnames.reference hints_path_gen
type hints_path = GlobRef.t hints_path_gen
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_gen : ('a -> Pp.t) -> 'a hints_path_gen -> Pp.t
val pp_hints_path_atom : ('a -> Pp.t) -> 'a hints_path_atom_gen -> Pp.t
val pp_hints_path : hints_path -> Pp.t
val pp_hint_mode : hint_mode -> Pp.t
val glob_hints_path_atom :
Libnames.reference hints_path_atom_gen -> GlobRef.t hints_path_atom_gen
val glob_hints_path :
Libnames.reference hints_path_gen -> GlobRef.t hints_path_gen
module Hint_db :
sig
type t
val empty : ?name:hint_db_name -> transparent_state -> bool -> t
val find : GlobRef.t -> t -> search_entry
(** All hints which have no pattern.
* [secvars] represent the set of section variables that
* can be used in the hint. *)
val map_none : secvars:Id.Pred.t -> t -> full_hint list
(** All hints associated to the reference *)
val map_all : secvars:Id.Pred.t -> GlobRef.t -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments, _not_ using the discrimination net. *)
val map_existential : evar_map -> secvars:Id.Pred.t ->
(GlobRef.t * constr array) -> constr -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments and using the discrimination net. *)
val map_eauto : evar_map -> secvars:Id.Pred.t -> (GlobRef.t * constr array) -> constr -> t -> full_hint list
(** All hints associated to the reference, respecting modes if evars appear in the
arguments. *)
val map_auto : evar_map -> secvars:Id.Pred.t ->
(GlobRef.t * constr array) -> constr -> t -> full_hint list
val add_one : env -> evar_map -> hint_entry -> t -> t
val add_list : env -> evar_map -> hint_entry list -> t -> t
val remove_one : GlobRef.t -> t -> t
val remove_list : GlobRef.t list -> t -> t
val iter : (GlobRef.t option ->
hint_mode array list -> full_hint 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 = Hint_db.t
type hnf = bool
type hint_term =
| IsGlobRef of GlobRef.t
| IsConstr of constr * Univ.ContextSet.t
type hints_entry =
| HintsResolveEntry of
(hint_info * 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 GlobRef.t * hint_mode list
| HintsExternEntry of hint_info * Genarg.glob_generic_argument
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 -> GlobRef.t 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 : local:bool -> hint_db_name list -> hints_entry -> unit
val prepare_hint : bool (* Check no remaining evars *) ->
(bool * bool) (* polymorphic or monomorphic, local or global *) ->
env -> evar_map -> evar_map * constr -> hint_term
(** [make_exact_entry info (c, ctyp, ctx)].
[c] is the term given as an exact proof to solve the goal;
[ctyp] is the type of [c].
[ctx] is its (refreshable) universe context.
In info:
[hint_priority] is the hint's desired priority, it is 0 if unspecified
[hint_pattern] is the hint's desired pattern, it is inferred if not specified
*)
val make_exact_entry : env -> evar_map -> hint_info -> polymorphic -> ?name:hints_path_atom ->
(constr * types * Univ.ContextSet.t) -> hint_entry
(** [make_apply_entry (eapply,hnf,verbose) info (c,cty,ctx))].
[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].
[ctx] is its (refreshable) universe context.
In info:
[hint_priority] is the hint's desired priority, it is computed as the number of products in [cty]
if unspecified
[hint_pattern] is the hint's desired pattern, it is inferred from the conclusion of [cty]
if not specified
*)
val make_apply_entry :
env -> evar_map -> bool * bool * bool -> hint_info -> polymorphic -> ?name:hints_path_atom ->
(constr * types * Univ.ContextSet.t) -> 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 -> hint_info -> 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 -> Genarg.glob_generic_argument
-> hint_entry
val run_hint : hint ->
((raw_hint * clausenv) hint_ast -> 'r Proofview.tactic) -> 'r Proofview.tactic
(** This function is for backward compatibility only, not to use in newly
written code. *)
val repr_hint : hint -> (raw_hint * clausenv) hint_ast
(** 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 -> delayed_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 : env -> evar_map -> Pp.t
val pr_applicable_hint : unit -> Pp.t
val pr_hint_ref : env -> evar_map -> GlobRef.t -> Pp.t
val pr_hint_db_by_name : env -> evar_map -> hint_db_name -> Pp.t
val pr_hint_db_env : env -> evar_map -> Hint_db.t -> Pp.t
val pr_hint_db : Hint_db.t -> Pp.t
[@@ocaml.deprecated "please used pr_hint_db_env"]
val pr_hint : env -> evar_map -> hint -> Pp.t
(** Hook for changing the initialization of auto *)
val add_hints_init : (unit -> unit) -> unit
type nonrec hint_info = hint_info
[@@ocaml.deprecated "Use [Typeclasses.hint_info]"]
|