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open CErrors
open Util
open Constr
open Vars
open Environ
open CClosure
open Context.Rel.Declaration
let whd_all ?evars env t =
match kind t with
| (Sort _|Meta _|Ind _|Construct _|
Prod _|Lambda _|Fix _|CoFix _|Int _|Float _|String _|Array _) -> t
| App (c, _) ->
begin match kind c with
| Ind _ | Construct _ | Meta _ | Int _ | Float _ | String _ | Array _ -> t
| Sort _ | Rel _ | Var _ | Evar _ | Cast _ | Prod _ | Lambda _ | LetIn _ | App _
| Const _ |Case _ | Fix _ | CoFix _ | Proj _ ->
whd_val (create_clos_infos ?evars RedFlags.all env) (create_tab ()) (inject t)
end
| Rel _ | Evar _ | Cast _ | LetIn _ | Case _ | Proj _ | Const _ | Var _ ->
whd_val (create_clos_infos ?evars RedFlags.all env) (create_tab ()) (inject t)
let whd_allnolet ?evars env t =
match kind t with
| (Sort _|Meta _|Ind _|Construct _|
Prod _|Lambda _|Fix _|CoFix _|LetIn _|Int _|Float _|String _|Array _) -> t
| App (c, _) ->
begin match kind c with
| Ind _ | Construct _ | Meta _ | LetIn _ | Int _ | Float _ | String _ | Array _ -> t
| Sort _ | Rel _ | Var _ | Evar _ | Cast _ | Prod _ | Lambda _ | App _
| Const _ | Case _ | Fix _ | CoFix _ | Proj _ ->
whd_val (create_clos_infos ?evars RedFlags.allnolet env) (create_tab ()) (inject t)
end
| Rel _ | Evar _ | Cast _ | Case _ | Proj _ | Const _ | Var _ ->
whd_val (create_clos_infos ?evars RedFlags.allnolet env) (create_tab ()) (inject t)
let beta_applist c l =
let rec app subst c l =
match kind c, l with
| Lambda(_,_,c), arg::l -> app (arg::subst) c l
| _ -> Term.applist (substl subst c, l) in
app [] c l
let beta_appvect c v = beta_applist c (Array.to_list v)
let beta_app c a = beta_applist c [a]
let betazeta_appvect = Term.lambda_appvect_decls
let hnf_prod_app ?evars env t n =
match kind (whd_all ?evars env t) with
| Prod (_,_,b) -> subst1 n b
| _ -> anomaly ~label:"hnf_prod_app" (Pp.str "Need a product.")
let hnf_prod_applist ?evars env t nl =
List.fold_left (hnf_prod_app ?evars env) t nl
let hnf_prod_applist_decls ?evars env n c l =
let rec app n subst t l =
if Int.equal n 0 then
if l == [] then substl subst t
else anomaly (Pp.str "Too many arguments.")
else match kind (whd_allnolet ?evars env t), l with
| Prod(_,_,c), arg::l -> app (n-1) (arg::subst) c l
| LetIn(_,b,_,c), _ -> app (n-1) (substl subst b::subst) c l
| _, [] -> anomaly (Pp.str "Not enough arguments.")
| _ -> anomaly (Pp.str "Not enough prod/let's.") in
app n [] c l
let whd_decompose_prod ?evars env =
let rec decrec env m c =
let t = whd_all ?evars env c in
match kind t with
| Prod (n,a,c0) ->
let d = LocalAssum (n,a) in
decrec (push_rel d env) (Context.Rel.add d m) c0
| _ -> m,t
in
decrec env Context.Rel.empty
let whd_decompose_lambda ?evars env =
let rec decrec env m c =
let t = whd_all ?evars env c in
match kind t with
| Lambda (n,a,c0) ->
let d = LocalAssum (n,a) in
decrec (push_rel d env) (Context.Rel.add d m) c0
| _ -> m,t
in
decrec env Context.Rel.empty
let whd_decompose_prod_decls ?evars env =
let rec prodec_rec env l ty =
let rty = whd_allnolet ?evars env ty in
match kind rty with
| Prod (x,t,c) ->
let d = LocalAssum (x,t) in
prodec_rec (push_rel d env) (Context.Rel.add d l) c
| LetIn (x,b,t,c) ->
let d = LocalDef (x,b,t) in
prodec_rec (push_rel d env) (Context.Rel.add d l) c
| _ ->
let rty' = whd_all ?evars env rty in
if Constr.equal rty' rty then l, rty
else prodec_rec env l rty'
in
prodec_rec env Context.Rel.empty
let whd_decompose_lambda_decls ?evars env =
let rec lamec_rec env l ty =
let rty = whd_allnolet ?evars env ty in
match kind rty with
| Lambda (x,t,c) ->
let d = LocalAssum (x,t) in
lamec_rec (push_rel d env) (Context.Rel.add d l) c
| LetIn (x,b,t,c) ->
let d = LocalDef (x,b,t) in
lamec_rec (push_rel d env) (Context.Rel.add d l) c
| _ ->
let rty' = whd_all ?evars env rty in
if Constr.equal rty' rty then l, rty
else lamec_rec env l rty'
in
lamec_rec env Context.Rel.empty
let whd_decompose_lambda_n_assum ?evars env n =
let rec lamec_rec env n l c =
if Int.equal n 0 then l,c
else
let rc = whd_allnolet ?evars env c in
match kind rc with
| Lambda (x,t,c) ->
let d = LocalAssum (x,t) in
lamec_rec (push_rel d env) (n-1) (Context.Rel.add d l) c
| LetIn (x,b,t,c) ->
let d = LocalDef (x,b,t) in
lamec_rec (push_rel d env) n (Context.Rel.add d l) c
| _ ->
let c' = whd_all ?evars env c in
if Constr.equal c' c then anomaly (Pp.str "whd_decompose_lambda_n_assum: not enough abstractions")
else lamec_rec env n l c'
in
lamec_rec env n Context.Rel.empty
exception NotArity
let dest_arity ?evars env c =
let l, c = whd_decompose_prod_decls ?evars env c in
match kind c with
| Sort s -> l,s
| _ -> raise NotArity
let is_arity ?evars env c =
try
let _ = dest_arity ?evars env c in
true
with NotArity -> false
let eta_expand ?evars env t ty =
let ctxt, _codom = whd_decompose_prod ?evars env ty in
let ctxt',t = whd_decompose_lambda ?evars env t in
let d = Context.Rel.nhyps ctxt - Context.Rel.nhyps ctxt' in
let eta_args = List.rev_map mkRel (List.interval 1 d) in
let t = Term.applistc (Vars.lift d t) eta_args in
let t = Term.it_mkLambda_or_LetIn t (List.firstn d ctxt) in
Term.it_mkLambda_or_LetIn t ctxt'