Source file evd.ml
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open Pp
open CErrors
open Sorts
open Util
open Names
open Nameops
open Constr
open Vars
open Environ
module NamedDecl = Context.Named.Declaration
type econstr = constr
type etypes = types
(** Generic filters *)
module Filter :
sig
type t
val equal : t -> t -> bool
val identity : t
val filter_list : t -> 'a list -> 'a list
val filter_array : t -> 'a array -> 'a array
val extend : int -> t -> t
val compose : t -> t -> t
val apply_subfilter : t -> bool list -> t
val restrict_upon : t -> int -> (int -> bool) -> t option
val map_along : (bool -> 'a -> bool) -> t -> 'a list -> t
val make : bool list -> t
val repr : t -> bool list option
end =
struct
type t = bool list option
(** We guarantee through the interface that if a filter is [Some _] then it
contains at least one [false] somewhere. *)
let identity = None
let rec equal l1 l2 = match l1, l2 with
| [], [] -> true
| h1 :: l1, h2 :: l2 ->
(if h1 then h2 else not h2) && equal l1 l2
| _ -> false
let equal l1 l2 = match l1, l2 with
| None, None -> true
| Some _, None | None, Some _ -> false
| Some l1, Some l2 -> equal l1 l2
let rec is_identity = function
| [] -> true
| true :: l -> is_identity l
| false :: _ -> false
let normalize f = if is_identity f then None else Some f
let filter_list f l = match f with
| None -> l
| Some f -> CList.filter_with f l
let filter_array f v = match f with
| None -> v
| Some f -> CArray.filter_with f v
let rec extend n l =
if n = 0 then l
else extend (pred n) (true :: l)
let extend n = function
| None -> None
| Some f -> Some (extend n f)
let compose f1 f2 = match f1 with
| None -> f2
| Some f1 ->
match f2 with
| None -> None
| Some f2 -> normalize (CList.filter_with f1 f2)
let apply_subfilter_array filter subfilter =
match filter with
| None -> Some (Array.to_list subfilter)
| Some f ->
let len = Array.length subfilter in
let fold b (i, ans) =
if b then
let () = assert (0 <= i) in
(pred i, Array.unsafe_get subfilter i :: ans)
else
(i, false :: ans)
in
Some (snd (List.fold_right fold f (pred len, [])))
let apply_subfilter filter subfilter =
apply_subfilter_array filter (Array.of_list subfilter)
let restrict_upon f len p =
let newfilter = Array.init len p in
if Array.for_all (fun id -> id) newfilter then None
else
Some (apply_subfilter_array f newfilter)
let map_along f flt l =
let ans = match flt with
| None -> List.map (fun x -> f true x) l
| Some flt -> List.map2 f flt l
in
normalize ans
let make l = normalize l
let repr f = f
end
module Abstraction = struct
type abstraction =
| Abstract
| Imitate
type t = abstraction list
let identity = []
let abstract_last l = Abstract :: l
end
module Identity :
sig
type t
val make : econstr list -> t
val none : unit -> t
val repr : named_context_val -> Filter.t -> t -> econstr list
val is_identity : econstr list -> t -> bool
end =
struct
type t = econstr list option ref
let make s = ref (Some s)
let none () = ref None
let repr sign filter s = match !s with
| None ->
let ans = Filter.filter_list filter sign.env_named_var in
let () = s := Some ans in
ans
| Some s -> s
let is_identity l s = match !s with
| None -> false
| Some s -> s == l
end
module Store = Store.Make ()
let string_of_existential evk = "?X" ^ string_of_int (Evar.repr evk)
type evar_body =
| Evar_empty
| Evar_defined of constr
type evar_info = {
evar_concl : constr;
evar_hyps : named_context_val;
evar_body : evar_body;
evar_filter : Filter.t;
evar_abstract_arguments : Abstraction.t;
evar_source : Evar_kinds.t Loc.located;
evar_candidates : constr list option;
evar_identity : Identity.t;
}
let make_evar hyps ccl = {
evar_concl = ccl;
evar_hyps = hyps;
evar_body = Evar_empty;
evar_filter = Filter.identity;
evar_abstract_arguments = Abstraction.identity;
evar_source = Loc.tag @@ Evar_kinds.InternalHole;
evar_candidates = None;
evar_identity = Identity.none ();
}
let instance_mismatch () =
anomaly (Pp.str "Signature and its instance do not match.")
let evar_concl evi = evi.evar_concl
let evar_filter evi = evi.evar_filter
let evar_body evi = evi.evar_body
let evar_context evi = named_context_of_val evi.evar_hyps
let evar_filtered_context evi =
Filter.filter_list (evar_filter evi) (evar_context evi)
let evar_candidates evi = evi.evar_candidates
let evar_hyps evi = evi.evar_hyps
let evar_filtered_hyps evi = match Filter.repr (evar_filter evi) with
| None -> evar_hyps evi
| Some filter ->
let rec make_hyps filter ctxt = match filter, ctxt with
| [], [] -> empty_named_context_val
| false :: filter, _ :: ctxt -> make_hyps filter ctxt
| true :: filter, decl :: ctxt ->
let hyps = make_hyps filter ctxt in
push_named_context_val decl hyps
| _ -> instance_mismatch ()
in
make_hyps filter (evar_context evi)
let evar_env env evi =
Environ.reset_with_named_context evi.evar_hyps env
let evar_filtered_env env evi = match Filter.repr (evar_filter evi) with
| None -> evar_env env evi
| Some filter ->
let rec make_env filter ctxt = match filter, ctxt with
| [], [] -> reset_context env
| false :: filter, _ :: ctxt -> make_env filter ctxt
| true :: filter, decl :: ctxt ->
let env = make_env filter ctxt in
push_named decl env
| _ -> instance_mismatch ()
in
make_env filter (evar_context evi)
let evar_identity_subst evi =
Identity.repr evi.evar_hyps evi.evar_filter evi.evar_identity
let map_evar_body f = function
| Evar_empty -> Evar_empty
| Evar_defined d -> Evar_defined (f d)
let map_evar_info f evi =
{evi with
evar_body = map_evar_body f evi.evar_body;
evar_hyps = map_named_val (fun d -> NamedDecl.map_constr f d) evi.evar_hyps;
evar_concl = f evi.evar_concl;
evar_candidates = Option.map (List.map f) evi.evar_candidates }
exception NotInstantiatedEvar
let evar_instance_array test_id info args =
let rec instrec filter ctxt args = match filter, ctxt, args with
| [], [], [] -> []
| false :: filter, _ :: ctxt, args ->
instrec filter ctxt args
| true :: filter, d :: ctxt, c :: args ->
if test_id d c then instrec filter ctxt args
else (NamedDecl.get_id d, c) :: instrec filter ctxt args
| _ -> instance_mismatch ()
in
match Filter.repr (evar_filter info) with
| None ->
let rec instance ctxt args = match ctxt, args with
| [], [] -> []
| d :: ctxt, c :: args ->
if test_id d c then instance ctxt args
else (NamedDecl.get_id d, c) :: instance ctxt args
| _ -> instance_mismatch ()
in
instance (evar_context info) args
| Some filter ->
instrec filter (evar_context info) args
let make_evar_instance_array info args =
if Identity.is_identity args info.evar_identity then []
else
evar_instance_array (NamedDecl.get_id %> isVarId) info args
let instantiate_evar_array info c args =
let inst = make_evar_instance_array info args in
match inst with
| [] -> c
| _ -> replace_vars inst c
type 'a in_evar_universe_context = 'a * UState.t
type 'a freelisted = {
rebus : 'a;
freemetas : Int.Set.t }
let metavars_of c =
let rec collrec acc c =
match kind c with
| Meta mv -> Int.Set.add mv acc
| _ -> Constr.fold collrec acc c
in
collrec Int.Set.empty c
let mk_freelisted c =
{ rebus = c; freemetas = metavars_of c }
let map_fl f cfl = { cfl with rebus=f cfl.rebus }
type instance_constraint = IsSuperType | IsSubType | Conv
let eq_instance_constraint c1 c2 = c1 == c2
type instance_typing_status =
CoerceToType | TypeNotProcessed | TypeProcessed
type instance_status = instance_constraint * instance_typing_status
type clbinding =
| Cltyp of Name.t * constr freelisted
| Clval of Name.t * (constr freelisted * instance_status) * constr freelisted
let map_clb f = function
| Cltyp (na,cfl) -> Cltyp (na,map_fl f cfl)
| Clval (na,(cfl1,pb),cfl2) -> Clval (na,(map_fl f cfl1,pb),map_fl f cfl2)
let clb_name = function
Cltyp(na,_) -> (na,false)
| Clval (na,_,_) -> (na,true)
module Metaset = Int.Set
module Metamap = Int.Map
let metamap_to_list m =
Metamap.fold (fun n v l -> (n,v)::l) m []
type conv_pb = Reduction.conv_pb
type evar_constraint = conv_pb * Environ.env * constr * constr
module EvMap = Evar.Map
module EvNames :
sig
type t
val empty : t
val add_name_undefined : Id.t option -> Evar.t -> evar_info -> t -> t
val remove_name_defined : Evar.t -> t -> t
val rename : Evar.t -> Id.t -> t -> t
val reassign_name_defined : Evar.t -> Evar.t -> t -> t
val ident : Evar.t -> t -> Id.t option
val key : Id.t -> t -> Evar.t
end =
struct
type t = Id.t EvMap.t * Evar.t Id.Map.t
let empty = (EvMap.empty, Id.Map.empty)
let add_name_newly_undefined id evk evi (evtoid, idtoev as names) =
match id with
| None -> names
| Some id ->
if Id.Map.mem id idtoev then
user_err (str "Already an existential evar of name " ++ Id.print id);
(EvMap.add evk id evtoid, Id.Map.add id evk idtoev)
let add_name_undefined naming evk evi (evtoid,idtoev as evar_names) =
if EvMap.mem evk evtoid then
evar_names
else
add_name_newly_undefined naming evk evi evar_names
let remove_name_defined evk (evtoid, idtoev as names) =
let id = try Some (EvMap.find evk evtoid) with Not_found -> None in
match id with
| None -> names
| Some id -> (EvMap.remove evk evtoid, Id.Map.remove id idtoev)
let rename evk id (evtoid, idtoev) =
let id' = try Some (EvMap.find evk evtoid) with Not_found -> None in
match id' with
| None -> (EvMap.add evk id evtoid, Id.Map.add id evk idtoev)
| Some id' ->
if Id.Map.mem id idtoev then anomaly (str "Evar name already in use.");
(EvMap.set evk id evtoid , Id.Map.add id evk (Id.Map.remove id' idtoev))
let reassign_name_defined evk evk' (evtoid, idtoev as names) =
let id = try Some (EvMap.find evk evtoid) with Not_found -> None in
match id with
| None -> names
| Some id ->
(EvMap.add evk' id (EvMap.remove evk evtoid),
Id.Map.add id evk' (Id.Map.remove id idtoev))
let ident evk (evtoid, _) =
try Some (EvMap.find evk evtoid) with Not_found -> None
let key id (_, idtoev) =
Id.Map.find id idtoev
end
type evar_flags =
{ obligation_evars : Evar.Set.t;
aliased_evars : Evar.t Evar.Map.t;
typeclass_evars : Evar.Set.t }
type side_effect_role =
| Schema of inductive * string
type side_effects = {
seff_private : Safe_typing.private_constants;
seff_roles : side_effect_role Cmap.t;
}
module FutureGoals : sig
type t = private {
comb : Evar.t list;
principal : Evar.t option; (** if [Some e], [e] must be
contained in
[comb]. The evar
[e] will inherit
properties (now: the
name) of the evar which
will be instantiated with
a term containing [e]. *)
}
val map_filter : (Evar.t -> Evar.t option) -> t -> t
(** Applies a function on the future goals *)
val filter : (Evar.t -> bool) -> t -> t
(** Applies a filter on the future goals *)
type stack
val empty_stack : stack
val push : stack -> stack
val pop : stack -> t * stack
val add : principal:bool -> Evar.t -> stack -> stack
val remove : Evar.t -> stack -> stack
val fold : ('a -> Evar.t -> 'a) -> 'a -> stack -> 'a
val pr_stack : stack -> Pp.t
end = struct
type t = {
comb : Evar.t list;
principal : Evar.t option; (** if [Some e], [e] must be
contained in
[comb]. The evar
[e] will inherit
properties (now: the
name) of the evar which
will be instantiated with
a term containing [e]. *)
}
type stack = t list
let set f = function
| [] -> anomaly Pp.(str"future_goals stack should not be empty")
| hd :: tl ->
f hd :: tl
let add ~principal evk stack =
let add fgl =
let comb = evk :: fgl.comb in
let principal =
if principal then
match fgl.principal with
| Some _ -> CErrors.user_err Pp.(str "Only one main goal per instantiation.")
| None -> Some evk
else fgl.principal
in
{ comb; principal }
in
set add stack
let remove e stack =
let remove fgl =
let filter e' = not (Evar.equal e e') in
let principal = Option.filter filter fgl.principal in
let comb = List.filter filter fgl.comb in
{ principal; comb }
in
List.map remove stack
let empty = {
principal = None;
comb = [];
}
let empty_stack = [empty]
let push stack = empty :: stack
let pop stack =
match stack with
| [] -> anomaly Pp.(str"future_goals stack should not be empty")
| hd :: tl ->
hd, tl
let fold f acc stack =
let future_goals = List.hd stack in
List.fold_left f acc future_goals.comb
let filter f fgl =
let comb = List.filter f fgl.comb in
let principal = Option.filter f fgl.principal in
{ comb; principal }
let map_filter f fgl =
let comb = List.map_filter f fgl.comb in
let principal = Option.bind fgl.principal f in
{ comb; principal }
let pr_stack stack =
let open Pp in
let pr_future_goals fgl =
prlist_with_sep spc Evar.print fgl.comb ++
pr_opt (fun ev -> str"(principal: " ++ Evar.print ev ++ str")") fgl.principal
in
if List.is_empty stack then str"(empty stack)"
else prlist_with_sep (fun () -> str"||") pr_future_goals stack
end
type evar_map = {
defn_evars : evar_info EvMap.t;
undf_evars : evar_info EvMap.t;
evar_names : EvNames.t;
(** Universes *)
universes : UState.t;
(** Conversion problems *)
conv_pbs : evar_constraint list;
last_mods : Evar.Set.t;
(** Metas *)
metas : clbinding Metamap.t;
evar_flags : evar_flags;
(** Interactive proofs *)
effects : side_effects;
future_goals : FutureGoals.stack; (** list of newly created evars, to be
eventually turned into goals if not solved.*)
given_up : Evar.Set.t;
shelf : Evar.t list list;
extras : Store.t;
}
let get_is_maybe_typeclass, (is_maybe_typeclass_hook : (evar_map -> constr -> bool) Hook.t) = Hook.make ~default:(fun evd c -> false) ()
let is_maybe_typeclass sigma c = Hook.get get_is_maybe_typeclass sigma c
let rename evk id evd =
{ evd with evar_names = EvNames.rename evk id evd.evar_names }
let add_with_name ?name ?(typeclass_candidate = true) d e i = match i.evar_body with
| Evar_empty ->
let evar_names = EvNames.add_name_undefined name e i d.evar_names in
let evar_flags =
if typeclass_candidate && is_maybe_typeclass d i.evar_concl then
let flags = d.evar_flags in
{ flags with typeclass_evars = Evar.Set.add e flags.typeclass_evars }
else d.evar_flags
in
{ d with undf_evars = EvMap.add e i d.undf_evars; evar_names; evar_flags }
| Evar_defined _ ->
let evar_names = EvNames.remove_name_defined e d.evar_names in
{ d with defn_evars = EvMap.add e i d.defn_evars; evar_names }
(** Evd.add is a low-level function mainly used to update the evar_info
associated to an evar, so we prevent registering its typeclass status. *)
let add d e i = add_with_name ~typeclass_candidate:false d e i
let get_typeclass_evars evd = evd.evar_flags.typeclass_evars
let set_typeclass_evars evd tcs =
let flags = evd.evar_flags in
{ evd with evar_flags = { flags with typeclass_evars = tcs } }
let is_typeclass_evar evd evk =
let flags = evd.evar_flags in
Evar.Set.mem evk flags.typeclass_evars
let get_obligation_evars evd = evd.evar_flags.obligation_evars
let set_obligation_evar evd evk =
let flags = evd.evar_flags in
let evar_flags = { flags with obligation_evars = Evar.Set.add evk flags.obligation_evars } in
{ evd with evar_flags }
let is_obligation_evar evd evk =
let flags = evd.evar_flags in
Evar.Set.mem evk flags.obligation_evars
(** Inheritance of flags: for evar-evar and restriction cases *)
let inherit_evar_flags evar_flags evk evk' =
let evk_typeclass = Evar.Set.mem evk evar_flags.typeclass_evars in
let evk_obligation = Evar.Set.mem evk evar_flags.obligation_evars in
let aliased_evars = Evar.Map.add evk evk' evar_flags.aliased_evars in
let typeclass_evars =
if evk_typeclass then
let typeclass_evars = Evar.Set.remove evk evar_flags.typeclass_evars in
Evar.Set.add evk' typeclass_evars
else evar_flags.typeclass_evars
in
let obligation_evars =
if evk_obligation then
let obligation_evars = Evar.Set.remove evk evar_flags.obligation_evars in
Evar.Set.add evk' obligation_evars
else evar_flags.obligation_evars
in
{ obligation_evars; aliased_evars; typeclass_evars }
(** Removal: in all other cases of definition *)
let remove_evar_flags evk evar_flags =
{ typeclass_evars = Evar.Set.remove evk evar_flags.typeclass_evars;
obligation_evars = Evar.Set.remove evk evar_flags.obligation_evars;
aliased_evars = evar_flags.aliased_evars }
(** New evars *)
let evar_counter_summary_name = "evar counter"
let evar_ctr, evar_counter_summary_tag = Summary.ref_tag 0 ~name:evar_counter_summary_name
let new_untyped_evar () = incr evar_ctr; Evar.unsafe_of_int !evar_ctr
let new_evar evd ?name ?typeclass_candidate evi =
let evk = new_untyped_evar () in
let evd = add_with_name evd ?name ?typeclass_candidate evk evi in
(evd, evk)
let remove d e =
let undf_evars = EvMap.remove e d.undf_evars in
let defn_evars = EvMap.remove e d.defn_evars in
let future_goals = FutureGoals.remove e d.future_goals in
let evar_flags = remove_evar_flags e d.evar_flags in
{ d with undf_evars; defn_evars; future_goals;
evar_flags }
let find d e =
try EvMap.find e d.undf_evars
with Not_found -> EvMap.find e d.defn_evars
let find_undefined d e = EvMap.find e d.undf_evars
let mem d e = EvMap.mem e d.undf_evars || EvMap.mem e d.defn_evars
let undefined_map d = d.undf_evars
let drop_all_defined d = { d with defn_evars = EvMap.empty }
let fold f d a =
EvMap.fold f d.defn_evars (EvMap.fold f d.undf_evars a)
let fold_undefined f d a = EvMap.fold f d.undf_evars a
let raw_map f d =
let f evk info =
let ans = f evk info in
let () = match info.evar_body, ans.evar_body with
| Evar_defined _, Evar_empty
| Evar_empty, Evar_defined _ ->
anomaly (str "Unrespectful mapping function.")
| _ -> ()
in
ans
in
let defn_evars = EvMap.Smart.mapi f d.defn_evars in
let undf_evars = EvMap.Smart.mapi f d.undf_evars in
{ d with defn_evars; undf_evars; }
let raw_map_undefined f d =
let f evk info =
let ans = f evk info in
let () = match ans.evar_body with
| Evar_defined _ ->
anomaly (str "Unrespectful mapping function.")
| _ -> ()
in
ans
in
{ d with undf_evars = EvMap.Smart.mapi f d.undf_evars; }
let is_evar = mem
let is_defined d e = EvMap.mem e d.defn_evars
let is_undefined d e = EvMap.mem e d.undf_evars
let existential_opt_value d (n, args) =
match EvMap.find_opt n d.defn_evars with
| None -> None
| Some info ->
match evar_body info with
| Evar_defined c -> Some (instantiate_evar_array info c args)
| Evar_empty -> None
let existential_value d ev = match existential_opt_value d ev with
| None -> raise NotInstantiatedEvar
| Some v -> v
let existential_value0 = existential_value
let existential_opt_value0 = existential_opt_value
let existential_type d (n, args) =
let info =
try find d n
with Not_found ->
anomaly (str "Evar " ++ str (string_of_existential n) ++ str " was not declared.") in
instantiate_evar_array info info.evar_concl args
let existential_type0 = existential_type
let add_constraints d c =
{ d with universes = UState.add_constraints d.universes c }
let add_universe_constraints d c =
{ d with universes = UState.add_universe_constraints d.universes c }
let is_empty d =
EvMap.is_empty d.defn_evars &&
EvMap.is_empty d.undf_evars &&
List.is_empty d.conv_pbs &&
Metamap.is_empty d.metas
let cmap f evd =
{ evd with
metas = Metamap.map (map_clb f) evd.metas;
defn_evars = EvMap.map (map_evar_info f) evd.defn_evars;
undf_evars = EvMap.map (map_evar_info f) evd.undf_evars
}
let create_evar_defs sigma = { sigma with
conv_pbs=[]; last_mods=Evar.Set.empty; metas=Metamap.empty }
let empty_evar_flags =
{ obligation_evars = Evar.Set.empty;
aliased_evars = Evar.Map.empty;
typeclass_evars = Evar.Set.empty }
let empty_side_effects = {
seff_private = Safe_typing.empty_private_constants;
seff_roles = Cmap.empty;
}
let empty = {
defn_evars = EvMap.empty;
undf_evars = EvMap.empty;
universes = UState.empty;
conv_pbs = [];
last_mods = Evar.Set.empty;
evar_flags = empty_evar_flags;
metas = Metamap.empty;
effects = empty_side_effects;
evar_names = EvNames.empty;
future_goals = FutureGoals.empty_stack;
given_up = Evar.Set.empty;
shelf = [[]];
extras = Store.empty;
}
let from_env ?binders e = { empty with universes = UState.from_env ?binders e }
let from_ctx uctx = { empty with universes = uctx }
let has_undefined evd = not (EvMap.is_empty evd.undf_evars)
let has_given_up evd = not (Evar.Set.is_empty evd.given_up)
let has_shelved evd = not (List.for_all List.is_empty evd.shelf)
let evars_reset_evd ?(with_conv_pbs=false) ?(with_univs=true) evd d =
let conv_pbs = if with_conv_pbs then evd.conv_pbs else d.conv_pbs in
let last_mods = if with_conv_pbs then evd.last_mods else d.last_mods in
let universes =
if not with_univs then evd.universes
else UState.union evd.universes d.universes
in
{ evd with
metas = d.metas;
last_mods; conv_pbs; universes }
let merge_universe_context evd uctx' =
{ evd with universes = UState.union evd.universes uctx' }
let set_universe_context evd uctx' =
{ evd with universes = uctx' }
let add_conv_pb ?(tail=false) pb d =
if tail then {d with conv_pbs = d.conv_pbs @ [pb]}
else {d with conv_pbs = pb::d.conv_pbs}
let conv_pbs d = d.conv_pbs
let evar_source evk d = (find d evk).evar_source
let evar_ident evk evd = EvNames.ident evk evd.evar_names
let evar_key id evd = EvNames.key id evd.evar_names
let get_aliased_evars evd = evd.evar_flags.aliased_evars
let is_aliased_evar evd evk =
try Some (Evar.Map.find evk evd.evar_flags.aliased_evars)
with Not_found -> None
let downcast evk ccl evd =
let evar_info = EvMap.find evk evd.undf_evars in
let evar_info' = { evar_info with evar_concl = ccl } in
{ evd with undf_evars = EvMap.add evk evar_info' evd.undf_evars }
let evd p =
let (pbs,pbs1) =
List.fold_left
(fun (pbs,pbs1) pb ->
if p pb then
(pb::pbs,pbs1)
else
(pbs,pb::pbs1))
([],[])
evd.conv_pbs
in
{evd with conv_pbs = pbs1; last_mods = Evar.Set.empty},
pbs
let evd p =
extract_conv_pbs evd (fun pb -> p evd.last_mods pb)
let evd =
extract_conv_pbs evd (fun _ -> true)
let loc_of_conv_pb evd (pbty,env,t1,t2) =
match kind (fst (decompose_app t1)) with
| Evar (evk1,_) -> fst (evar_source evk1 evd)
| _ ->
match kind (fst (decompose_app t2)) with
| Evar (evk2,_) -> fst (evar_source evk2 evd)
| _ -> None
type rigid = UState.rigid =
| UnivRigid
| UnivFlexible of bool (** Is substitution by an algebraic ok? *)
let univ_rigid = UnivRigid
let univ_flexible = UnivFlexible false
let univ_flexible_alg = UnivFlexible true
let evar_universe_context d = d.universes
let universe_context_set d = UState.context_set d.universes
let to_universe_context evd = UState.context evd.universes
let univ_entry ~poly evd = UState.univ_entry ~poly evd.universes
let check_univ_decl ~poly evd decl = UState.check_univ_decl ~poly evd.universes decl
let restrict_universe_context evd vars =
{ evd with universes = UState.restrict evd.universes vars }
let universe_subst evd =
UState.subst evd.universes
let merge_context_set ?loc ?(sideff=false) rigid evd ctx' =
{evd with universes = UState.merge ?loc ~sideff rigid evd.universes ctx'}
let with_context_set ?loc rigid d (a, ctx) =
(merge_context_set ?loc rigid d ctx, a)
let new_univ_level_variable ?loc ?name rigid evd =
let uctx', u = UState.new_univ_variable ?loc rigid name evd.universes in
({evd with universes = uctx'}, u)
let new_univ_variable ?loc ?name rigid evd =
let uctx', u = UState.new_univ_variable ?loc rigid name evd.universes in
({evd with universes = uctx'}, Univ.Universe.make u)
let new_sort_variable ?loc ?name rigid d =
let (d', u) = new_univ_variable ?loc rigid ?name d in
(d', Sorts.sort_of_univ u)
let add_global_univ d u =
{ d with universes = UState.add_global_univ d.universes u }
let make_flexible_variable evd ~algebraic u =
{ evd with universes =
UState.make_flexible_variable evd.universes ~algebraic u }
let make_nonalgebraic_variable evd u =
{ evd with universes = UState.make_nonalgebraic_variable evd.universes u }
let fresh_sort_in_family ?loc ?(rigid=univ_flexible) evd s =
with_context_set ?loc rigid evd (UnivGen.fresh_sort_in_family s)
let fresh_constant_instance ?loc ?(rigid=univ_flexible) env evd c =
with_context_set ?loc rigid evd (UnivGen.fresh_constant_instance env c)
let fresh_inductive_instance ?loc ?(rigid=univ_flexible) env evd i =
with_context_set ?loc rigid evd (UnivGen.fresh_inductive_instance env i)
let fresh_constructor_instance ?loc ?(rigid=univ_flexible) env evd c =
with_context_set ?loc rigid evd (UnivGen.fresh_constructor_instance env c)
let fresh_array_instance ?loc ?(rigid=univ_flexible) env evd =
with_context_set ?loc rigid evd (UnivGen.fresh_array_instance env)
let fresh_global ?loc ?(rigid=univ_flexible) ?names env evd gr =
with_context_set ?loc rigid evd (UnivGen.fresh_global_instance ?loc ?names env gr)
let is_sort_variable evd s = UState.is_sort_variable evd.universes s
let is_flexible_level evd l =
let uctx = evd.universes in
Univ.Level.Map.mem l (UState.subst uctx)
let is_eq_sort s1 s2 =
if Sorts.equal s1 s2 then None
else
let u1 = univ_of_sort s1
and u2 = univ_of_sort s2 in
if Univ.Universe.equal u1 u2 then None
else Some (u1, u2)
let universe_rigidity evd l =
let uctx = evd.universes in
if Univ.Level.Set.mem l (Univ.ContextSet.levels (UState.context_set uctx)) then
UnivFlexible (Univ.Level.Set.mem l (UState.algebraics uctx))
else UnivRigid
let normalize_universe evd =
let vars = UState.subst evd.universes in
let normalize = UnivSubst.normalize_universe_opt_subst vars in
normalize
let normalize_universe_instance evd l =
let vars = UState.subst evd.universes in
let normalize = UnivSubst.level_subst_of (UnivSubst.normalize_univ_variable_opt_subst vars) in
Univ.Instance.subst_fn normalize l
let normalize_sort evars s =
match s with
| SProp | Prop | Set -> s
| Type u ->
let u' = normalize_universe evars u in
if u' == u then s else Sorts.sort_of_univ u'
let set_eq_sort env d s1 s2 =
let s1 = normalize_sort d s1 and s2 = normalize_sort d s2 in
match is_eq_sort s1 s2 with
| None -> d
| Some (u1, u2) ->
if not (type_in_type env) then
add_universe_constraints d
(UnivProblem.Set.singleton (UnivProblem.UEq (u1,u2)))
else
d
let set_eq_level d u1 u2 =
add_constraints d (Univ.enforce_eq_level u1 u2 Univ.Constraints.empty)
let set_leq_level d u1 u2 =
add_constraints d (Univ.enforce_leq_level u1 u2 Univ.Constraints.empty)
let set_eq_instances ?(flex=false) d u1 u2 =
add_universe_constraints d
(UnivProblem.enforce_eq_instances_univs flex u1 u2 UnivProblem.Set.empty)
let set_leq_sort env evd s1 s2 =
let s1 = normalize_sort evd s1
and s2 = normalize_sort evd s2 in
match is_eq_sort s1 s2 with
| None -> evd
| Some (u1, u2) ->
if not (type_in_type env) then
add_universe_constraints evd (UnivProblem.Set.singleton (UnivProblem.ULe (u1,u2)))
else evd
let check_eq evd s s' =
UGraph.check_eq (UState.ugraph evd.universes) s s'
let check_leq evd s s' =
UGraph.check_leq (UState.ugraph evd.universes) s s'
let check_constraints evd csts =
UGraph.check_constraints csts (UState.ugraph evd.universes)
let fix_undefined_variables evd =
{ evd with universes = UState.fix_undefined_variables evd.universes }
let nf_univ_variables evd =
let uctx = UState.normalize_variables evd.universes in
{evd with universes = uctx}
let minimize_universes evd =
let uctx' = UState.normalize_variables evd.universes in
let uctx' = UState.minimize uctx' in
{evd with universes = uctx'}
let universe_of_name evd s = UState.universe_of_name evd.universes s
let universe_binders evd = UState.universe_binders evd.universes
let universes evd = UState.ugraph evd.universes
let update_sigma_univs ugraph evd =
{ evd with universes = UState.update_sigma_univs evd.universes ugraph }
exception UniversesDiffer = UState.UniversesDiffer
let concat_side_effects eff eff' = {
seff_private = Safe_typing.concat_private eff.seff_private eff'.seff_private;
seff_roles = Cmap.fold Cmap.add eff.seff_roles eff'.seff_roles;
}
let emit_side_effects eff evd =
let effects = concat_side_effects eff evd.effects in
{ evd with effects; universes = UState.emit_side_effects eff.seff_private evd.universes }
let drop_side_effects evd =
{ evd with effects = empty_side_effects; }
let eval_side_effects evd = evd.effects
let declare_future_goal evk evd =
let future_goals = FutureGoals.add ~principal:false evk evd.future_goals in
{ evd with future_goals }
let declare_principal_goal evk evd =
let future_goals = FutureGoals.add ~principal:true evk evd.future_goals in
{ evd with future_goals }
let push_future_goals evd =
{ evd with future_goals = FutureGoals.push evd.future_goals }
let pop_future_goals evd =
let hd, future_goals = FutureGoals.pop evd.future_goals in
hd, { evd with future_goals }
let fold_future_goals f sigma =
FutureGoals.fold f sigma sigma.future_goals
let remove_future_goal evd evk =
{ evd with future_goals = FutureGoals.remove evk evd.future_goals }
let pr_future_goals_stack evd =
FutureGoals.pr_stack evd.future_goals
let give_up ev evd =
{ evd with given_up = Evar.Set.add ev evd.given_up }
let push_shelf evd =
{ evd with shelf = [] :: evd.shelf }
let pop_shelf evd =
match evd.shelf with
| [] -> anomaly Pp.(str"shelf stack should not be empty")
| hd :: tl ->
hd, { evd with shelf = tl }
let filter_shelf f evd =
{ evd with shelf = List.map (List.filter f) evd.shelf }
let shelve evd l =
match evd.shelf with
| [] -> anomaly Pp.(str"shelf stack should not be empty")
| hd :: tl ->
{ evd with shelf = (hd@l) :: tl }
let unshelve evd l =
{ evd with shelf = List.map (List.filter (fun ev -> not (CList.mem_f Evar.equal ev l))) evd.shelf }
let given_up evd = evd.given_up
let shelf evd = List.flatten evd.shelf
let pr_shelf evd =
let open Pp in
if List.is_empty evd.shelf then str"(empty stack)"
else prlist_with_sep (fun () -> str"||") (prlist_with_sep spc Evar.print) evd.shelf
let define_aux def undef evk body =
let oldinfo =
try EvMap.find evk undef
with Not_found ->
if EvMap.mem evk def then
anomaly ~label:"Evd.define" (Pp.str "cannot define an evar twice.")
else
anomaly ~label:"Evd.define" (Pp.str "cannot define undeclared evar.")
in
let () = assert (oldinfo.evar_body == Evar_empty) in
let newinfo = { oldinfo with evar_body = Evar_defined body } in
EvMap.add evk newinfo def, EvMap.remove evk undef
let define_gen evk body evd evar_flags =
let (defn_evars, undf_evars) = define_aux evd.defn_evars evd.undf_evars evk body in
let last_mods = match evd.conv_pbs with
| [] -> evd.last_mods
| _ -> Evar.Set.add evk evd.last_mods
in
let evar_names = EvNames.remove_name_defined evk evd.evar_names in
{ evd with defn_evars; undf_evars; last_mods; evar_names; evar_flags }
(** By default, the obligation and evar tag of the evar is removed *)
let define evk body evd =
let evar_flags = remove_evar_flags evk evd.evar_flags in
define_gen evk body evd evar_flags
(** In case of an evar-evar solution, the flags are inherited *)
let define_with_evar evk body evd =
let evk' = fst (destEvar body) in
let evar_flags = inherit_evar_flags evd.evar_flags evk evk' in
let evd = unshelve evd [evk] in
let future_goals = FutureGoals.remove evk evd.future_goals in
let evd = { evd with future_goals } in
define_gen evk body evd evar_flags
let restrict evk filter ?candidates ?src evd =
let evk' = new_untyped_evar () in
let evar_info = EvMap.find evk evd.undf_evars in
let id_inst = Filter.filter_list filter evar_info.evar_hyps.env_named_var in
let evar_info' =
{ evar_info with evar_filter = filter;
evar_candidates = candidates;
evar_source = (match src with None -> evar_info.evar_source | Some src -> src);
evar_identity = Identity.make id_inst;
} in
let last_mods = match evd.conv_pbs with
| [] -> evd.last_mods
| _ -> Evar.Set.add evk evd.last_mods in
let evar_names = EvNames.reassign_name_defined evk evk' evd.evar_names in
let body = mkEvar(evk',id_inst) in
let (defn_evars, undf_evars) = define_aux evd.defn_evars evd.undf_evars evk body in
let evar_flags = inherit_evar_flags evd.evar_flags evk evk' in
let evd = { evd with undf_evars = EvMap.add evk' evar_info' undf_evars;
defn_evars; last_mods; evar_names; evar_flags }
in
let evd = unshelve evd [evk] in
let evd = remove_future_goal evd evk in
let evd = declare_future_goal evk' evd in
(evd, evk')
let update_source evd evk src =
let evar_info = EvMap.find evk evd.undf_evars in
let evar_info' = { evar_info with evar_source = src } in
{ evd with undf_evars = EvMap.add evk evar_info' evd.undf_evars }
(** We use this function to overcome OCaml compiler limitations and to prevent
the use of costly in-place modifications. *)
let set_metas evd metas = {
defn_evars = evd.defn_evars;
undf_evars = evd.undf_evars;
universes = evd.universes;
conv_pbs = evd.conv_pbs;
last_mods = evd.last_mods;
evar_flags = evd.evar_flags;
metas;
effects = evd.effects;
evar_names = evd.evar_names;
future_goals = evd.future_goals;
given_up = evd.given_up;
shelf = evd.shelf;
extras = evd.extras;
}
let meta_list evd = metamap_to_list evd.metas
let undefined_metas evd =
let filter = function
| (n,Clval(_,_,typ)) -> None
| (n,Cltyp (_,typ)) -> Some n
in
let m = List.map_filter filter (meta_list evd) in
List.sort Int.compare m
let map_metas_fvalue f evd =
let map = function
| Clval(id,(c,s),typ) -> Clval(id,(mk_freelisted (f c.rebus),s),typ)
| x -> x
in
set_metas evd (Metamap.Smart.map map evd.metas)
let map_metas f evd =
let map cl = map_clb f cl in
set_metas evd (Metamap.Smart.map map evd.metas)
let meta_opt_fvalue evd mv =
match Metamap.find mv evd.metas with
| Clval(_,b,_) -> Some b
| Cltyp _ -> None
let meta_defined evd mv =
match Metamap.find mv evd.metas with
| Clval _ -> true
| Cltyp _ -> false
let try_meta_fvalue evd mv =
match Metamap.find mv evd.metas with
| Clval(_,b,_) -> b
| Cltyp _ -> raise Not_found
let meta_fvalue evd mv =
try try_meta_fvalue evd mv
with Not_found -> anomaly ~label:"meta_fvalue" (Pp.str "meta has no value.")
let meta_value evd mv =
(fst (try_meta_fvalue evd mv)).rebus
let meta_ftype evd mv =
match Metamap.find mv evd.metas with
| Cltyp (_,b) -> b
| Clval(_,_,b) -> b
let meta_type evd mv = (meta_ftype evd mv).rebus
let meta_type0 = meta_type
let meta_declare mv v ?(name=Anonymous) evd =
let metas = Metamap.add mv (Cltyp(name,mk_freelisted v)) evd.metas in
set_metas evd metas
let meta_name evd mv =
try fst (clb_name (Metamap.find mv evd.metas)) with Not_found -> Anonymous
let evar_source_of_meta mv evd =
match meta_name evd mv with
| Anonymous -> Loc.tag Evar_kinds.GoalEvar
| Name id -> Loc.tag @@ Evar_kinds.VarInstance id
let use_meta_source evd mv v =
match Constr.kind v with
| Evar (evk,_) ->
let f = function
| None -> None
| Some evi as x ->
match evi.evar_source with
| None, Evar_kinds.GoalEvar -> Some { evi with evar_source = evar_source_of_meta mv evd }
| _ -> x in
{ evd with undf_evars = EvMap.update evk f evd.undf_evars }
| _ -> evd
let meta_assign mv (v, pb) evd =
let modify _ = function
| Cltyp (na, ty) -> Clval (na, (mk_freelisted v, pb), ty)
| _ -> anomaly ~label:"meta_assign" (Pp.str "already defined.")
in
let metas = Metamap.modify mv modify evd.metas in
let evd = use_meta_source evd mv v in
set_metas evd metas
let meta_reassign mv (v, pb) evd =
let modify _ = function
| Clval(na, _, ty) -> Clval (na, (mk_freelisted v, pb), ty)
| _ -> anomaly ~label:"meta_reassign" (Pp.str "not yet defined.")
in
let metas = Metamap.modify mv modify evd.metas in
set_metas evd metas
let clear_metas evd = {evd with metas = Metamap.empty}
let meta_merge ?(with_univs = true) evd1 evd2 =
let metas = Metamap.fold Metamap.add evd1.metas evd2.metas in
let universes =
if with_univs then UState.union evd2.universes evd1.universes
else evd2.universes
in
{evd2 with universes; metas; }
type metabinding = metavariable * constr * instance_status
let retract_coercible_metas evd =
let mc = ref [] in
let map n v = match v with
| Clval (na, (b, (Conv, CoerceToType as s)), typ) ->
let () = mc := (n, b.rebus, s) :: !mc in
Cltyp (na, typ)
| v -> v
in
let metas = Metamap.Smart.mapi map evd.metas in
!mc, set_metas evd metas
let dependent_evar_ident ev evd =
let evi = find evd ev in
match evi.evar_source with
| (_,Evar_kinds.VarInstance id) -> id
| _ -> anomaly (str "Not an evar resulting of a dependent binding.")
let evd = evd.extras
let evd = { evd with extras }
type open_constr = evar_map * constr
type 'a sigma = {
it : 'a ;
sigma : evar_map
}
let sig_it x = x.it
let sig_sig x = x.sigma
let on_sig s f =
let sigma', v = f s.sigma in
{ s with sigma = sigma' }, v
module MonadR =
Monad.Make (struct
type +'a t = evar_map -> evar_map * 'a
let return a = fun s -> (s,a)
let (>>=) x f = fun s ->
let (s',a) = x s in
f a s'
let (>>) x y = fun s ->
let (s',()) = x s in
y s'
let map f x = fun s ->
on_snd f (x s)
end)
module Monad =
Monad.Make (struct
type +'a t = evar_map -> 'a * evar_map
let return a = fun s -> (a,s)
let (>>=) x f = fun s ->
let (a,s') = x s in
f a s'
let (>>) x y = fun s ->
let ((),s') = x s in
y s'
let map f x = fun s ->
on_fst f (x s)
end)
type unsolvability_explanation = SeveralInstancesFound of int
module MiniEConstr = struct
module ESorts =
struct
type t = Sorts.t
let make s = s
let kind sigma = function
| Sorts.Type u -> Sorts.sort_of_univ (normalize_universe sigma u)
| s -> s
let unsafe_to_sorts s = s
end
module EInstance =
struct
type t = Univ.Instance.t
let make i = i
let kind sigma i =
if Univ.Instance.is_empty i then i
else normalize_universe_instance sigma i
let empty = Univ.Instance.empty
let is_empty = Univ.Instance.is_empty
let unsafe_to_instance t = t
end
type t = econstr
let rec whd_evar sigma c =
match Constr.kind c with
| Evar ev ->
begin match existential_opt_value sigma ev with
| Some c -> whd_evar sigma c
| None -> c
end
| App (f, args) when isEvar f ->
let ev = destEvar f in
begin match existential_opt_value sigma ev with
| None -> c
| Some f -> whd_evar sigma (mkApp (f, args))
end
| Cast (c0, k, t) when isEvar c0 ->
let ev = destEvar c0 in
begin match existential_opt_value sigma ev with
| None -> c
| Some c -> whd_evar sigma (mkCast (c, k, t))
end
| _ -> c
let kind sigma c = Constr.kind (whd_evar sigma c)
let kind_upto = kind
let of_kind = Constr.of_kind
let of_constr c = c
let of_constr_array v = v
let unsafe_to_constr c = c
let unsafe_to_constr_array v = v
let unsafe_eq = Refl
let to_constr_nocheck sigma c =
let evar_value ev = existential_opt_value sigma ev in
UnivSubst.nf_evars_and_universes_opt_subst evar_value (universe_subst sigma) c
let to_constr_gen sigma c =
let saw_evar = ref false in
let evar_value ev =
let v = existential_opt_value sigma ev in
saw_evar := !saw_evar || Option.is_empty v;
v
in
let c = UnivSubst.nf_evars_and_universes_opt_subst evar_value (universe_subst sigma) c in
let saw_evar = if not !saw_evar then false
else
let exception SawEvar in
let rec iter c = match Constr.kind c with
| Evar _ -> raise SawEvar
| _ -> Constr.iter iter c
in
try iter c; false with SawEvar -> true
in
saw_evar, c
let to_constr ?(abort_on_undefined_evars=true) sigma c =
if not abort_on_undefined_evars then to_constr_nocheck sigma c
else
let saw_evar, c = to_constr_gen sigma c in
if saw_evar
then anomaly ~label:"econstr" Pp.(str "grounding a non evar-free term");
c
let to_constr_opt sigma c =
let saw_evar, c = to_constr_gen sigma c in
if saw_evar then None else Some c
let of_named_decl d = d
let unsafe_to_named_decl d = d
let of_rel_decl d = d
let unsafe_to_rel_decl d = d
let to_rel_decl sigma d = Context.Rel.Declaration.map_constr (to_constr sigma) d
let of_named_context d = d
let of_rel_context d = d
let unsafe_to_case_invert x = x
let of_case_invert x = x
end
(** The following functions return the set of evars immediately
contained in the object *)
let evars_of_term evd c =
let rec evrec acc c =
let c = MiniEConstr.whd_evar evd c in
match kind c with
| Evar (n, l) -> Evar.Set.add n (List.fold_left evrec acc l)
| _ -> Constr.fold evrec acc c
in
evrec Evar.Set.empty c
let evar_nodes_of_term c =
let rec evrec acc c =
match kind c with
| Evar (n, l) -> Evar.Set.add n (List.fold_left evrec acc l)
| _ -> Constr.fold evrec acc c
in
evrec Evar.Set.empty c
let evars_of_named_context evd nc =
Context.Named.fold_outside
(NamedDecl.fold_constr (fun constr s -> Evar.Set.union s (evars_of_term evd constr)))
nc
~init:Evar.Set.empty
let evars_of_filtered_evar_info evd evi =
Evar.Set.union (evars_of_term evd evi.evar_concl)
(Evar.Set.union
(match evi.evar_body with
| Evar_empty -> Evar.Set.empty
| Evar_defined b -> evars_of_term evd b)
(evars_of_named_context evd (evar_filtered_context evi)))