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|
(* $Id$ *)
open Util
open Names
open Term
open Reduction
open Environ
open Typeops
open Pretype_errors
open Classops
open Recordops
open Evarconv
open Retyping
(* Typing operations dealing with coercions *)
let class_of1 env sigma t = class_of env sigma (nf_ise1 sigma t)
let j_nf_ise env sigma {uj_val=v;uj_type=t} =
{ uj_val = nf_ise1 sigma v;
uj_type = nf_ise1 sigma t }
let jl_nf_ise env sigma = List.map (j_nf_ise env sigma)
(* Here, funj is a coercion therefore already typed in global context *)
let apply_coercion_args env argl funj =
let rec apply_rec acc typ = function
| [] -> { uj_val = applist (j_val funj,argl);
uj_type = typ }
| h::restl ->
(* On devrait pouvoir s'arranger pour qu'on ait pas à faire hnf_constr *)
match kind_of_term (whd_betadeltaiota env Evd.empty typ) with
| IsProd (_,c1,c2) ->
(* Typage garanti par l'appel a app_coercion*)
apply_rec (h::acc) (subst1 h c2) restl
| _ -> anomaly "apply_coercion_args"
in
apply_rec [] funj.uj_type argl
(* appliquer le chemin de coercions p a` hj *)
exception NoCoercion
let apply_coercion env p hj typ_cl =
if !compter then begin
nbpathc := !nbpathc +1;
nbcoer := !nbcoer + (List.length p)
end;
try
fst (List.fold_left
(fun (ja,typ_cl) i ->
let fv,b = coe_value i in
let argl = (class_args_of typ_cl)@[ja.uj_val] in
let jres = apply_coercion_args env argl fv in
(if b then
{ uj_val = ja.uj_val; uj_type = jres.uj_type }
else
jres),
jres.uj_type)
(hj,typ_cl) p)
with _ -> anomaly "apply_coercion"
let inh_app_fun env isevars j =
let t = whd_betadeltaiota env !isevars j.uj_type in
match kind_of_term t with
| IsProd (_,_,_) -> j
| _ ->
(try
let t,i1 = class_of1 env !isevars j.uj_type in
let p = lookup_path_to_fun_from i1 in
apply_coercion env p j t
with Not_found -> j)
let inh_tosort_force env isevars j =
try
let t,i1 = class_of1 env !isevars j.uj_type in
let p = lookup_path_to_sort_from i1 in
apply_coercion env p j t
with Not_found ->
j
let inh_coerce_to_sort env isevars j =
let typ = whd_betadeltaiota env !isevars j.uj_type in
match kind_of_term typ with
| IsSort s -> { utj_val = j.uj_val; utj_type = s }
| _ ->
let j1 = inh_tosort_force env isevars j in
type_judgment env !isevars j1
let inh_coerce_to_fail env isevars c1 hj =
let hj' =
try
let t1,i1 = class_of1 env !isevars c1 in
let t2,i2 = class_of1 env !isevars hj.uj_type in
let p = lookup_path_between (i2,i1) in
apply_coercion env p hj t2
with Not_found -> raise NoCoercion
in
if the_conv_x_leq env isevars hj'.uj_type c1 then
hj'
else
raise NoCoercion
let rec inh_conv_coerce_to_fail env isevars c1 hj =
let {uj_val = v; uj_type = t} = hj in
if the_conv_x_leq env isevars t c1 then hj
else
try
inh_coerce_to_fail env isevars c1 hj
with NoCoercion -> (* try ... with _ -> ... is BAD *)
(match kind_of_term (whd_betadeltaiota env !isevars t),
kind_of_term (whd_betadeltaiota env !isevars c1) with
| IsProd (_,t1,t2), IsProd (name,u1,u2) ->
let v' = whd_betadeltaiota env !isevars v in
if (match kind_of_term v' with
| IsLambda (_,v1,v2) ->
the_conv_x env isevars v1 u1 (* leq v1 u1? *)
| _ -> false)
then
let (x,v1,v2) = destLambda v' in
let env1 = push_rel_assum (x,v1) env in
let h2 = inh_conv_coerce_to_fail env isevars u2
{uj_val = v2; uj_type = t2 } in
fst (abs_rel env !isevars x v1 h2)
else
let name = (match name with
| Anonymous -> Name (id_of_string "x")
| _ -> name) in
let env1 = push_rel_assum (name,u1) env in
let h1 =
inh_conv_coerce_to_fail env isevars t1
{uj_val = mkRel 1;
uj_type = u1 } in
let h2 = inh_conv_coerce_to_fail env isevars u2
{ uj_val = mkApp (lift 1 v, [|h1.uj_val|]);
uj_type = subst1 h1.uj_val t2 }
in
fst (abs_rel env !isevars name u1 h2)
| _ -> raise NoCoercion)
let inh_conv_coerce_to loc env isevars cj t =
let cj' =
try
inh_conv_coerce_to_fail env isevars t cj
with NoCoercion ->
let rcj = j_nf_ise env !isevars cj in
let at = nf_ise1 !isevars t in
error_actual_type_loc loc env rcj.uj_val rcj.uj_type at
in
{ uj_val = cj'.uj_val;
uj_type = t }
(* [inh_apply_rel_list loc env isevars args f tycon] tries to type [(f
args)] of type [tycon] (if any) by inserting coercions in front of
each arg$_i$, if necessary *)
let inh_apply_rel_list apploc env isevars argjl funj tycon =
let rec apply_rec env n acc typ = function
| [] ->
let resj =
{ uj_val = applist (j_val funj, List.rev acc);
uj_type = typ }
in
(match tycon with
| Some typ' ->
(try inh_conv_coerce_to_fail env isevars typ' resj
with NoCoercion -> resj) (* try ... with _ -> ... is BAD *)
| None -> resj)
| hj::restjl ->
match kind_of_term (whd_betadeltaiota env !isevars typ) with
| IsProd (na,c1,c2) ->
let hj' =
(try
inh_conv_coerce_to_fail env isevars c1 hj
with NoCoercion ->
error_cant_apply_bad_type_loc apploc env
(n,nf_ise1 !isevars c1,
nf_ise1 !isevars hj.uj_type)
(j_nf_ise env !isevars funj)
(jl_nf_ise env !isevars argjl))
in
apply_rec (push_rel_assum (na,c1) env)
(n+1) ((j_val hj')::acc) (subst1 hj'.uj_val c2) restjl
| _ ->
error_cant_apply_not_functional_loc apploc env
(j_nf_ise env !isevars funj) (jl_nf_ise env !isevars argjl)
in
apply_rec env 1 [] funj.uj_type argjl
|
