(************************************************************************)
(*  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 Names
open Term
open Context
open Evd
open Environ

(** {5 This modules provides useful functions for unification modulo evars } *)

(** {6 Metas} *)

(** [new_meta] is a generator of unique meta variables *)
val new_meta : unit -> metavariable
val mk_new_meta : unit -> constr

(** {6 Creating a fresh evar given their type and context} *)
val new_evar :
  env -> evar_map -> ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t ->
  ?candidates:constr list -> ?store:Store.t ->
  ?naming:Misctypes.intro_pattern_naming_expr ->
  ?principal:bool -> types -> evar_map * constr

val new_pure_evar :
  named_context_val -> evar_map -> ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t ->
  ?candidates:constr list -> ?store:Store.t ->
  ?naming:Misctypes.intro_pattern_naming_expr ->
  ?principal:bool -> types -> evar_map * evar

val new_pure_evar_full : evar_map -> evar_info -> evar_map * evar

(** the same with side-effects *)
val e_new_evar :
  env -> evar_map ref -> ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t ->
  ?candidates:constr list -> ?store:Store.t ->
  ?naming:Misctypes.intro_pattern_naming_expr ->
  ?principal:bool -> types -> constr

(** Create a new Type existential variable, as we keep track of 
    them during type-checking and unification. *)
val new_type_evar :
  env -> evar_map -> ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t ->
  ?naming:Misctypes.intro_pattern_naming_expr -> ?principal:bool -> rigid ->
  evar_map * (constr * sorts)

val e_new_type_evar : env -> evar_map ref ->
  ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t ->
  ?naming:Misctypes.intro_pattern_naming_expr -> ?principal:bool -> rigid -> constr * sorts

val new_Type : ?rigid:rigid -> env -> evar_map -> evar_map * constr
val e_new_Type : ?rigid:rigid -> env -> evar_map ref -> constr

val restrict_evar : evar_map -> existential_key -> Filter.t ->
  constr list option -> evar_map * existential_key

(** Polymorphic constants *)

val new_global : evar_map -> Globnames.global_reference -> evar_map * constr
val e_new_global : evar_map ref -> Globnames.global_reference -> constr

(** Create a fresh evar in a context different from its definition context:
   [new_evar_instance sign evd ty inst] creates a new evar of context
   [sign] and type [ty], [inst] is a mapping of the evar context to
   the context where the evar should occur. This means that the terms
   of [inst] are typed in the occurrence context and their type (seen
   as a telescope) is [sign] *)
val new_evar_instance :
 named_context_val -> evar_map -> types -> 
  ?src:Loc.t * Evar_kinds.t -> ?filter:Filter.t -> ?candidates:constr list -> 
  ?store:Store.t -> ?naming:Misctypes.intro_pattern_naming_expr ->
  ?principal:bool ->
  constr list -> evar_map * constr

val make_pure_subst : evar_info -> constr array -> (Id.t * constr) list

(** {6 Evars/Metas switching...} *)

val non_instantiated : evar_map -> evar_info Evar.Map.t

(** {6 Unification utils} *)

(** [head_evar c] returns the head evar of [c] if any *)
exception NoHeadEvar
val head_evar : constr -> existential_key (** may raise NoHeadEvar *)

(* Expand head evar if any *)
val whd_head_evar :  evar_map -> constr -> constr

(* An over-approximation of [has_undefined (nf_evars evd c)] *)
val has_undefined_evars : evar_map -> constr -> bool

val is_ground_term :  evar_map -> constr -> bool
val is_ground_env  :  evar_map -> env -> bool
(** [check_evars env initial_sigma extended_sigma c] fails if some
   new unresolved evar remains in [c] *)
val check_evars : env -> evar_map -> evar_map -> constr -> unit

val define_evar_as_product : evar_map -> existential -> evar_map * types
val define_evar_as_lambda : env -> evar_map -> existential -> evar_map * types
val define_evar_as_sort : env -> evar_map -> existential -> evar_map * sorts

(** Instantiate an evar by as many lambda's as needed so that its arguments
    are moved to the evar substitution (i.e. turn [?x[vars1:=args1] args] into
    [?y[vars1:=args1,vars:=args]] with
    [vars1 |- ?x:=\vars.?y[vars1:=vars1,vars:=vars]] *)
val evar_absorb_arguments : env -> evar_map -> existential -> constr list ->
  evar_map * existential

(** [gather_dependent_evars evm seeds] classifies the evars in [evm]
    as dependent_evars and goals (these may overlap). A goal is an
    evar in [seeds] or an evar appearing in the (partial) definition
    of a goal. A dependent evar is an evar appearing in the type
    (hypotheses and conclusion) of a goal, or in the type or (partial)
    definition of a dependent evar.  The value return is a map
    associating to each dependent evar [None] if it has no (partial)
    definition or [Some s] if [s] is the list of evars appearing in
    its (partial) definition. *)
val gather_dependent_evars : evar_map -> evar list -> (Evar.Set.t option) Evar.Map.t

(** The following functions return the set of undefined evars
    contained in the object, the defined evars being traversed.
    This is roughly a combination of the previous functions and
    [nf_evar]. *)

val undefined_evars_of_term : evar_map -> constr -> Evar.Set.t
val undefined_evars_of_named_context : evar_map -> named_context -> Evar.Set.t
val undefined_evars_of_evar_info : evar_map -> evar_info -> Evar.Set.t

(** [occur_evar_upto sigma k c] returns [true] if [k] appears in
    [c]. It looks up recursively in [sigma] for the value of existential
    variables. *)
val occur_evar_upto : evar_map -> Evar.t -> Constr.t -> bool

(** {6 Value/Type constraints} *)

val judge_of_new_Type : evar_map -> evar_map * unsafe_judgment

type type_constraint = types option
type val_constraint = constr option

val empty_tycon : type_constraint
val mk_tycon : constr -> type_constraint
val empty_valcon : val_constraint
val mk_valcon : constr -> val_constraint

val split_tycon :
  Loc.t -> env ->  evar_map -> type_constraint ->
    evar_map * (Name.t * type_constraint * type_constraint)

val valcon_of_tycon : type_constraint -> val_constraint
val lift_tycon : int -> type_constraint -> type_constraint

(***********************************************************)

(** [flush_and_check_evars] raise [Uninstantiated_evar] if an evar remains
    uninstantiated; [nf_evar] leaves uninstantiated evars as is *)

val nf_evar :  evar_map -> constr -> constr
val j_nf_evar :  evar_map -> unsafe_judgment -> unsafe_judgment
val jl_nf_evar :
   evar_map -> unsafe_judgment list -> unsafe_judgment list
val jv_nf_evar :
   evar_map -> unsafe_judgment array -> unsafe_judgment array
val tj_nf_evar :
   evar_map -> unsafe_type_judgment -> unsafe_type_judgment

val nf_named_context_evar : evar_map -> named_context -> named_context
val nf_rel_context_evar : evar_map -> rel_context -> rel_context
val nf_env_evar : evar_map -> env -> env

val nf_evar_info : evar_map -> evar_info -> evar_info
val nf_evar_map : evar_map -> evar_map
val nf_evar_map_undefined : evar_map -> evar_map

val env_nf_evar : evar_map -> env -> env
val env_nf_betaiotaevar : evar_map -> env -> env

val j_nf_betaiotaevar : evar_map -> unsafe_judgment -> unsafe_judgment
val jv_nf_betaiotaevar :
  evar_map -> unsafe_judgment array -> unsafe_judgment array
(** Presenting terms without solved evars *)

val nf_evars_universes : evar_map -> constr -> constr

val nf_evars_and_universes : evar_map -> evar_map * (constr -> constr)
val e_nf_evars_and_universes : evar_map ref -> (constr -> constr) * Universes.universe_opt_subst

(** Normalize the evar map w.r.t. universes, after simplification of constraints.
    Return the substitution function for constrs as well. *)
val nf_evar_map_universes : evar_map -> evar_map * (constr -> constr)

(** Replacing all evars, possibly raising [Uninstantiated_evar] *)
exception Uninstantiated_evar of existential_key
val flush_and_check_evars :  evar_map -> constr -> constr

(** {6 Term manipulation up to instantiation} *)

(** Like {!Constr.kind} except that [kind_of_term sigma t] exposes [t]
    as an evar [e] only if [e] is uninstantiated in [sigma]. Otherwise the
    value of [e] in [sigma] is (recursively) used. *)
val kind_of_term_upto : evar_map -> constr -> (constr,types) kind_of_term

(** [eq_constr_univs_test sigma1 sigma2 t u] tests equality of [t] and
    [u] up to existential variable instantiation and equalisable
    universes. The term [t] is interpreted in [sigma1] while [u] is
    interpreted in [sigma2]. The universe constraints in [sigma2] are
    assumed to be an extention of those in [sigma1]. *)
val eq_constr_univs_test : evar_map -> evar_map -> constr -> constr -> bool

(** {6 debug pretty-printer:} *)

val pr_tycon : env -> type_constraint -> Pp.std_ppcmds


(** {6 Removing hyps in evars'context}
raise OccurHypInSimpleClause if the removal breaks dependencies *)

type clear_dependency_error =
| OccurHypInSimpleClause of Id.t option
| EvarTypingBreak of existential

exception ClearDependencyError of Id.t * clear_dependency_error

(* spiwack: marks an evar that has been "defined" by clear.
    used by [Goal] and (indirectly) [Proofview] to handle the clear tactic gracefully*)
val cleared : bool Store.field

val clear_hyps_in_evi : env -> evar_map ref -> named_context_val -> types ->
  Id.Set.t -> named_context_val * types

val clear_hyps2_in_evi : env -> evar_map ref -> named_context_val -> types -> types ->
  Id.Set.t -> named_context_val * types * types

val push_rel_context_to_named_context : Environ.env -> types ->
  named_context_val * types * constr list * constr list * (identifier*constr) list

val generalize_evar_over_rels : evar_map -> existential -> types * constr list

(** Evar combinators *)

val evd_comb0 : (evar_map -> evar_map * 'a) -> evar_map ref -> 'a
val evd_comb1 : (evar_map -> 'b -> evar_map * 'a) -> evar_map ref -> 'b -> 'a
val evd_comb2 : (evar_map -> 'b -> 'c -> evar_map * 'a) -> evar_map ref -> 'b -> 'c -> 'a

val subterm_source : existential_key -> Evar_kinds.t Loc.located ->
  Evar_kinds.t Loc.located

val meta_counter_summary_name : string
val evar_counter_summary_name : string